uestion 14 (2 points)
3
What is the equation of a line that passes through point (3,-5) and is perpendicular to y = -x+5?
Enter your answer with no spaces.
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Uestion 14 (2 Points)3What Is The Equation Of A Line That Passes Through Point (3,-5) And Is Perpendicular

Answers

Answer 1

A line that passes through point (3,-5) and is perpendicular to y = -x+5 has the equation y = x - 8.

What is a straight line equation?

A straight line has an equation of y=mx + c, where m is the gradient and c is the constant, also known as the y-intercept, at which the line crosses the y-axis.

How do you determine the line's equation?

In order to put the equation in y-intercept (y = mx + b) form and determine the equation of a graphed line, first determine the slope and y-intercept.

It is given that a line's equation passes through point (3,-5) and is perpendicular to y = -x+5.

Slope of given line = -1

Slope of line perpendicular to the given line = Negative of the reciprocal of the slope of a given line = 1

We have the slope and point (3,-5) of the required line. So, we can find the constant of this equation.

y = mx + c

-5 = 1(3) + c

c = -5 - 3

c = -8

Substituting c = -8 and m = 1 to get the equation of required line.

y = mx + c

y = x - 8

As a result, the equation of a line passing through point (3,-5) and perpendicular to y = -x+5 is y = x - 8.

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Related Questions

Please help!!!
I’ll give you the Brainiest

Does multiplying by a conversion factor change the
amount of what is being measured?

Answers

Answer:

Multiplying a quantity by a conversion factor changes the units that measure a quantity but does not change the original amount of the quantity.

Step-by-step explanation:

There is no explanation

A chef had to fill up 4⁄6 of a container with mashed potatoes. He ended up using 3 2⁄4 pounds of mashed potatoes. How many pounds would he use if he had to fill up the entire container?

Answers

5.25 pounds of mashed potatoes is required to fill the container.

How Many Pounds to Fill the Container

In the question, we were told the container was 4/6 filled and the chef used  3 2/4 pounds which is equal to 14/4 pounds of mashed potatoes.

In doing this, we are calculating the volume of the container.

Let's equate this and find how many pounds will fill the container.

[tex]\frac{4}{6}fill = \frac{14}{4} pounds\\ 1 fill = x pounds[/tex]

Let's cross multiply both sides and solve for x.

[tex]\frac{4}{6}fill = \frac{14}{4} pounds\\1 = x pounds\\x = \frac{1 * \frac{14}{4} }{\frac{4}{6} }\\x = \frac{21}{4} = 5.25 pounds[/tex]

To fill the container, we need 5.25 pounds of mashed potatoes.

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PLEASE HELP!

Keisha is making a small sign in the shape of a triangle for her store. She wants the height of the triangle to be 4 inches. The area of the sign must be less than10 square inches. (Keisha doesn't want to buy more material.) Write an inequality that describes the possible base lengths (in inches) of the triangle. Use b for the base length of the triangular sign.

Answers

The base length of triangle for the store is b ≤ 5in.

What is triangle?

Having three sides, three angles, and three vertices, a triangle is a closed, two-dimensional object.

A polygon also includes a triangle.

Triangle's characteristics:

A triangle's internal angles are always added together to equal 180 degree.Any two triangle sides added together will always have a length larger than the third side.Half of the product of a triangle's base and height makes up its surface area.

Given:

height of triangle(h)=4in

Area of triangle(A)≤ 10in²

let base length of triangle be b

Area of triangle is given by:

Area = (1/2) × base × height

(1/2) × b × 4 ≤ 10

2b ≤ 10

b ≤ 5 in

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On a standardized exam, the scores are normally distributed with a mean of27 and a standard deviation of 4. Find the Z-score of a person who scored 17on the exam.

Answers

mean = 27

standard deviation = 4

n = 17

z = ?

[tex]\begin{gathered} \text{ z = }\frac{X\text{ - }\mu}{\sigma} \\ \text{ z = }\frac{27\text{ - 17}}{4} \\ \text{ z = }\frac{10}{4} \\ \text{ z = 2.5} \end{gathered}[/tex]

Result :

z = 2.5

-11+?=15
?-(-3)=5
?+(-4)=7
?+-8=-3
-2+?=1
?-12=-4

Answers

It won’t let me answer it

Answer:

Step-by-step explanation:

-11+?=15

?=15+11

15+11= 26

So, -11+26=15.

?-(-3)= 5

?+3=5

?=5-3

?=2

So, 2-(-3)=5.

?+(-4)=7

?-4=7

?=7+4

?=11

So, 11+(-4)=7.

?+-8=3

?=3+8

?=11

So, 11+-8=3.

-2+?=1

?=1+2

?=3

So, -2+3=1.

?-12=-4

?=-4+12

?=8

So, 8-12=-4.

Select the values that make the inequality −d≥7 true. Then write an equivalent inequality, in terms of d. -12 -8 -7.1 -7 -6.9 -6 -2 0 2 6 6.9 7 7.1 8 12

Answers

The values of the inequality -d ≥ 7 are  -12, -8 and -7.1

The inequality is

-d ≥ 7

The inequality is the equation that shows the relationship between the numbers or algebraic expression. The relationship maybe greater than, greater than or equal, less than, less than or equal. In inequality there is no equal relationship.

The given inequality is

-d ≥ 7

Divide both sides of the given inequality  by -1

-d/-1 ≥ 7/-1

d ≤ -7

Therefore the value of d is less than -7

So the values are -12, -8 and -7.1

Hence, the values of the inequality -d ≥ 7 are  -12, -8 and -7.1

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Complete the boxes in the decimal
grid below.
0.345
0.348

Answers

Its 69/200 and 345/1000 by converting them

can someone help me with this

Answers

If we solve for the value of x using the graph we get the coordinates of X as X( [tex]\frac{21}{4}[/tex] , [tex]\frac{35}{4}[/tex] ).

What is the linear equation with two variables ?

A linear equation with two variables is any equation that can be expressed in form ax + by + c = 0, where a, b, and c are all real values.

The given equation is a form of linear equation with two variables.

The equation is 16x + 28y = 112.

From graph it is clear that coordinates of Y are Y(1 , -1).

So , let's check for the value of x by putting the values of y in given expression.

i.e.,

The resulted equations will be :

16 x + 28 (1) = 112

or

16x + 28(-1) = 112

So ,

16 x + 28 = 112    --- -- -- ----- ----- ---- ---- ---- ---- ---- ---- ---- Equation 1

16x - 28 = 112     --- -- -- ----- ----- ---- ---- ---- ---- ---- ---- ---- Equation 2

The values of x will be :

x = 84 / 16 = 21 / 4

or

x = 140 / 16 = 35 / 4

The coordinates of X will be X([tex]\frac{21}{4}[/tex] , [tex]\frac{35}{4}[/tex] ).

Therefore , solving for the value of x using the graph we get the coordinates of X as X( [tex]\frac{21}{4}[/tex] , [tex]\frac{35}{4}[/tex] ).

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How long will it take for a $4000 investment to grow to $5780 at an annual rate of 4%, compounded quarterly? Assume that no withdrawals are made. Do not round any intermediate computations, and round your answer to the nearest hundredths.

Answers

The working equation when dealing with problems regarding compounded interest is

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

where A is the future value, P is the principal value, r is the annual rate, and n is the number of compounding periods.

The problem compounds quarterly, hence, we have n = 4.

We derive the working equation to solve for t, as follows:

[tex]\begin{gathered} \frac{A}{P}=(1+\frac{r}{n})^{nt} \\ \ln (\frac{A}{P})=\ln ((1+\frac{r}{n})^{nt}) \\ nt\ln ((1+\frac{r}{n}))=\ln (\frac{A}{P}) \\ t=\frac{\ln (\frac{A}{P})}{n\ln ((1+\frac{r}{n}))} \end{gathered}[/tex]

Substitute the values of A, P, n, and r on the derived equation above and solve for t, we get

[tex]\begin{gathered} t=\frac{\ln (\frac{5780}{4000})}{4(\ln (1+\frac{0.04}{4}))} \\ t=\frac{\ln (1.445)}{4(\ln (1.01))} \\ t=\frac{0.368}{4(0.00995)} \\ t\approx9.25 \end{gathered}[/tex]

Therefore, the $4000 investment grows to $5780 in 9.25 years.

The line passes through the points (-2,5) and (-8,-8)
Slope =

Answers

[tex]m = \frac{y2 - y1}{x2 - x1} \\ m = \frac{ - 8 - 5}{ - 8 - ( - 2)} \\ m = \frac{ - 13}{ - 8 + 2} \\ m \frac{ - 13}{ - 6} \\ m = \frac{13}{6} [/tex]

ATTACHED IS THE SOLUTION.

I also provided you with the formula to calculate the slope between the points.

formula to calculate the slope between the points.GOODLUCK

1-4: Literal Equations Once a large pink ribbon, the sign of the fight against breast cancer, was erected out of pink post-it notes on a billboard. If the area of the rectangular billboard covered by the ribbon was approximat 3360 square feet, and the width of the billboard was approximately 56 feet, what was the height of this billboard?​

Answers

If the area of the rectangular billboard covered by the ribbon was approximately 3360 square feet, and the width of the billboard was approximately 56 feet, the height of the billboard would be 71.25 feet.

What is area?

The exact measurement that helps to express the size of a region on a plane or curved surface is thus called as area.

Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

In mathematical terminology, area can be defined as the total space that is taken up by a flat (2-D) surface or shape of a present object.

Here the area of the billboard = 3360 sq feet

Width of the billboard = 56 feet

We know that

area of the billboard = Height of the billboard x Width of the billboard

⇒ Height of the billboard = [Area of the billboard] / [Width of the billboard]

⇒ Height of the billboard= 3360/56

⇒ Height of the billboard = 71.25 feet

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I need assistance on scatter plots. Please see the attached question

Answers

From the scatter plot of sales of Ceiling Fan in relation to Temperature.

(a) We are asked to characterized the money spent on Ceiling Fan to Temperature.

The relationship between the money spent on Ceiling Fan and Temperature is positive correlation.

When the y variable tends to increase as the x variable increases, we say there is a positive correlation. Which we can see in the scatter plot in the question.

(b) using the function y = 20x + 0, we are to find the predicted amount of sales if temperature is 21 degrees Celsius.

With the function:

y = 20x + 0

When Temperature is 21 degrees that means x = 21

So let's input x = 21 into the given function.

y = 20(21) + 0

y = 420 + 0

y = 420

Therefore, the predicted amount of sales when Temperature is 21 degrees Celsius is $420.

(c) What does the number 0 in the function mean in the contest of this situation?

In a linear interpretation which the function represents, the number 0 can be seen as the y intercepts of the function.

The function f(x) is shown below.
X
-6
اس
-3
5
8
f(x)
1
2
5
3
0
If g(x) is the inverse of f(x), what is the value of f(g(2))?
O-6
O-3
02
O 5

Answers

The function y as a function of x, i.e., y = f(x), and then solve for x as a function of y, to determine the inverse of a function.

If g(x) is the inverse of f(x), 2 is the value of f(g(2)).

What is meant by inverse function?

An inverse in mathematics is a function that "undoes" another function. In other words, if f(x) yields y, then y entered into the inverse of f yields the output x.

The function y as a function of x, i.e., y = f(x), and then solve for x as a function of y, to determine the inverse of a function.

Given

[tex]&x \rightarrow f(x) \\[/tex]

[tex]&-6 \rightarrow 1 \\[/tex]

[tex]&-3 \rightarrow 2[/tex]

[tex]$$g(x)=f^{-1}(x)[/tex] inverse

To find the value of f(g(2)).

For two functions f(x) and g(x) where f(x) and g(x) are inverse; f(g(x))=x

So, by comparison: f(g(2)) = 2.

Therefore, the inverse of the function f(g(2)) = 2.

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assume 11% of the population is left-handed. assume this percentage is also true for all college students. a random sample of 209 college students from a campus with 5225 students is taken and whether or not they are left-handed is recorded.

Answers

After finding the probability we find that 0.04 students are left-handed from the 209 students randomly selected from the campus.

11 % of the population is left-handed so here we have to find the probability of left-handed students if 209 random students are selected from 5225 students on campus here Favorable outcome is 209 and the total outcome is 5225, so the favorable outcome upon the total number of the outcome.

According to the probability formula :

Probability = [tex]\frac{favorable outcome}{Total number of outcome}[/tex]

Probability = 209 / 5225

After diving the above equation we find that 0.04 students are left-handed from the 209 students randomly selected from the campus.

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For Kimberly's P.E final she must either walk or run at least 5 miles this week. She knows it would take her 15 minutes to run a mile and 40 minutes to walk a mile, Kimberly only has 6 hours in which she must accomplish this final. Write an equation that represents Kimberly's P.E final for both walking and running. Define all variables

Answers

The equation for Kilberly's running or walking will be R+4w ≤ 6.

What is inequality?

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

Given that For Kimberly's P.E final she must either walk or run at least 5 miles this week. She knows it would take her 15 minutes to run a mile and 40 minutes to walk a mile, Kimberly only has 6 hours in which she must accomplish this final.

Let the running is represented by 'R' and walking by 'w". The equation will be written as below:-

R + 4W ≤ 6

Put the running and walking times in the equation above.

15 + ( 4 x 40 ) ≤ 6

175 minute ≤ 6 x 60

175 minutes ≤ 360 minutes.

Therefore, Kimberly covers the distance in less than 6 hours.

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What is the least common multiple of 3, 5, and 10?

Answers

30
because 3x10 is 30 5x6 is 30 and 10x3 is 30

Can someone answer this please?

Answers

1. The cheapest meat is Ms barker free Ronge whole chicken in $6 per kilo.

2. The cost of 200 grams of honey leg ham is $3.4.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The cost of all meat is shown in figure.

Now,

By the figure, we get;

The cheapest meat is Ms barker free Ronge whole chicken which is in

$6 per kilo.

And, The cost of honey leg ham = $17 per kilo

Since, 1 kilograms = 1,000 grams

The cost of 1 gram of honey leg ham = $17/1000

So, The cost of 200 grams of honey leg ham = 200 × 17 / 1000

                                                                      = $3.4

Thus,

1. The cheapest meat is Ms barker free Ronge whole chicken in $6 per kilo.

2. The cost of 200 grams of honey leg ham is $3.4.

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Enter the value of p so the expression 18+4.5n is equivalent to p(6 + 1.5n)

Answers

Answer:

p=1

Step-by-step explanation:

p(6+1.5n)=18+4.5n

6p+1.5np = 18+4.5n

18p+4.5np=18+4.5n

p=1

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4.(02.02 MC)Demarcus will be 24 years old when he graduates. If the mean brweekly wage of his career is $2456.00, what will his lifetime earrings be when he retires at the of68 (1 point),O $100,79600$1.000 76.00$261896.00$5226,192.00

Answers

His lifetime earnings when he retires at the age of 68 is $2,817,385.1728.

The total number of years Demarcus will work is 68 - 24 = 44 years.

Now, there are about 52.1429 weeks per year; therefore, the number of weeks in 44 years will be:

44 years × 52.1429 weeks/year = 2294.2876 weeks

We are also told that Demarcus gets paid once every two weeks; this means the number of payments made in 44 years will be:

2294.2876 / 2 = 1147.1438 payments

Since each payment is worth $2,456.00, the total amount earned from 1147.146 payments will be:

1147.146 payments × 2456 per payment = $2,817,385.1728

Hence, Demarcus' lifetime earnings if he retires at the age of 68 will be $2,817,385.1728.

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PLEASE ANSWER ASAP!!

Answers

A) The end behavior of the polynomial graph is that;

as x → -∞, y → -∞, and as x → ∞, y → ∞

B) The given graph polynomial represents an even degree polynomial.

What is the End behavior of the graph?

The end behavior of the graph of a polynomial function is the behavior of the graph of as approaches positive infinity or negative infinity.

Now, we see from the graph that as x approaches a larger value, y values are getting increasingly negative. This means that as x approaches negative infinity, the values of y approach negative infinity.

In a similar approach, we can see that as the values of x approach positive infinity, the values of y also approach positive infinity.

Thus, we can say that option  D is correct.

B) Odd-degree polynomial functions, are those that have graphs that extend diagonally across the quadrants while even-degree polynomial functions are those that have graphs that open upwards or downwards.

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the population of rabbits on an island is growing exponential in the year 2008, the population of rabbits was 7100 and by the year 2013 the population had grown to 8900 . Predict the population of rabbits by the year 2023 to the nearest whole number

Answers

The population of rabbits by the year 2023  is 13985.

What will the population be?

We have to use the following exponential function. This will be:

y = a b^t

In 2008 means, t=0

So we have 7100 = a b^0

a = 7100

y = 7100b^t

In 2013 means t = 2013-2008 =5

8900 = 7100 b⁵

b⁵ = 89/71

b = 1.046

So the equation will be

y = 7100 (1.046)^t

For 2023, t=2023-2008= 15

y = 7100(1.046)¹⁵

= 13985

The population is 13985.

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rlly need helpp plsssss​

Answers

Answer: Equation is x+45 = 90

It solves to x = 45

Explanation:

The two angles are complementary, which by definition means they join together to form a right angle. The two pieces x and 45 add to 90 degrees.

To solve the equation x+45 = 90, we subtract 45 from both sides to get x = 45.

As a check x+45 = 45+45 = 90.

Question on the image please help

Answers

Answer: 0.195

Step-by-step explanation:

0.195
You’re welcome

A t-shirt and a pair of shorts cost $29.75 together. jason paid $228.55 for 12 t-shirts and 5 shorts. how much will ted pay for 2 t-shirts and 4 pairs of shorts?

Answers

A t-shirt and a pair of shorts cost $29.75 together. jason paid $228.55 for 12 t-shirts and 5 shorts. Then ted pay for 2 t-shirts and 4 pairs of shorts is $59.4

A t-shirt and a pair of shorts cost $29.75 together.

jason paid $228.55 for 12 t-shirts and 5 shorts.

how much will ted pay for 2 t-shirts and 4 pairs of shorts

let T denote for t shirt and S denote for shorts

then T+ 2S=29.75

       12T+ 5S=228.55

solving these equation

multiply by 12 in 1 , we get

12T+ 24S= 357

12T+ 5S=228.55

substract these two equation we have

19S=128.45

S= 6.76

we can substitute in 1 we get

T + 13.52 =29.75

T=16.23

Hence , 2T + 4S = 32.46+27.04=59.4

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The measures of the exterior angles of an octagon are x°x°, 2x°2x°, 3x°3x°, 4x°4x°, 5x°5x°, 6x°6x°, 9x°9x°, and 10x°10x°. Solve for xx.

Answers

Answer:

x=10

Step-by-step explanation:

Given: =The exterior angles of an octagon are x°,2x°,3x°,4x°,5x°,6x°,7x°,8x°.

Then, x°+2x°+3x°+4x°+5x°+6x°+7x°+8x° =360°

⇒ 36x = 360

⇒ x= 10

among all rectangles that have a perimeter of 48, find the dimensions of the one whose area is largest. write your answers as fractions reduced to lowest terms.

Answers

among all rectangles that have a perimeter of 48 Then the  dimensions of the one whose area is largest is 12 by 12

The formula for calculating the perimeter of a rectangle is expressed as:

P = 2(L + W)

L is the length of the rectangle

W is the width

Given that the perimeter is 156, hence;

2(L + W) = 48

2L + 2W = 48

L + W = 24

W = 24 - L

The area of the rectangle is expressed as:

A = LW

A = L(24-L)

A = 24L - L^2

To get the dimensions of the one whose area is largest, dA/dL = 0

dA/dL = 24 - 2L

0 = 24 - 2L

2L = 24

L = 24/2

L = 12

Recall that 2(L+W) = 48

2(12 + W) = 48

12 + W = 24

W = 24 - 12

W = 12

Hence the dimensions of the one whose area is largest is 12 by 12

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Given the figure below, find the values of x and z.
(7x + 73)°

(10x + 22)

Answers

In the given figure,

(7x + 73) + (10x + 22) = 180 ........(Because they are linear pair)

⇒ 7x + 73 + 10x +22 = 180

⇒ 17x + 95 = 180

⇒ 17x = 180-95

⇒ 17x = 85

⇒ x = 85/17

x = 5

Now, 7x +73 = z ....................(Because they are vertically opposite angles)

⇒ 7 x 5 + 73 = z

⇒ z = 35 + 73

z = 108°

What are vertically opposite angles and linear pairs?Angles that are vertically opposed to one another at a certain vertex are formed by two straight lines intersecting. Angles that are vertically opposed to one another are equal. These are referred to as vertical angles at times.A linear pair of angles in geometry is a pair of neighboring angles created by the intersection of two lines. When two angles share a vertex and an arm but do not overlap, they are said to be adjacent angles. Due to their formation on a straight line, the linear pair of angles are always complementary. So, the total of two angles in a pair of lines is always 180 degrees.

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wht is the ending balance of R341000 at 4% for 3 years?

Answers

The ending balance for a amount of Rs. 341,000 with a interest rate of 4% for the time period of 3 years is Rs. 381920.  

What is interest?

In the fields of finance and economics, interest is the payment made at a set rate by a borrower or deposit-taking financial institution to a lender or depositor in excess of the principal amount (the amount borrowed).

Information given in the question,

Principle amount = 341,000

Time period = 3 years

Interest rate is 4 % which can be written as 0.04 in decimals.

We can calculate the ending balance using this formula formula for simple interest:

[tex]S.I. = Principle \times Interest \times time[/tex]

Putting the values given in the question

S.I. = (341000)(0.04)(3)

S.I. = 40,920

Interest is 40,920.

The ending balance is the sum of Principle amount and Interest. So,

ending balance = 341000+40920

ending balance = 381920  

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find the range of each function:
f(x) = 2^x

[tex]f(x) = - 5 \leqslant x \leqslant 4[/tex]
please give me explaination

Answers

The range of the exponential function f(x) is 1 / 32 ≤ f(x) ≤ 16.

How to find the range of an exponential function

Exponential functions are monotonous functions, that is, functions that are increasing or increasing but never both. Functions are defined by the following three features:

Domain - Set of input variables.Range - Set of output variables.Relation - Relations between domain and range.

In this problem we find a function with an input variable (x) and an output variable (f(x)). Since exponential functions are monotonous functions we can determine the bounds of the range by the function evaluated at x = - 5 and x = 4. Thus:

f(- 5) = 2⁻⁵

f(- 5) = 1 / 2⁵

f(- 5) = 1 / 32

f(4) = 2⁴

f(4) = 16

The range of the function f(x) = 2ˣ for - 5 ≤ x ≤ 4 is 1 / 32 ≤ f(x) ≤ 16.

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The price of an item yesterday was %130.Today, the price rose to $169 . Find the percentage increase.

Answers

The percentage increase when the price of an item increased is 30%.

How to calculate the percentage?

From the information, the price of an item yesterday was $130 and today, the price rose to $169.

The increase in the price will be:

= $169 - $130

= $39

Therefore, the percentage increase will be:

= Increase in price / Original price × 100

= 39 / 130 × 100

= 30%

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what 3 factors were used to create this product game board with the numbers 4 6 9 14 49?What product is missing? A waterwheel has a radius of 4 feet, and the center of the wheel is 1 foot under the waterline. You notice a yellow mark at the top of the wheel. If the wheel rotates StartFraction pi Over 3 EndFraction radians, how far above the water is the yellow mark? 1 foot 2 feet 3 feet 4 feet If PQ = 6x - q and PR = 15x - 29, then QR =? The area of a circle is 9 cm. What is the circumference, in centimeters? Express your answer in terms of An elementary school wants to purchase a new swing set. The table shows the selling price of the swing sets they are interested in buying.Swing Set Wholesale Price ($)Adventurers 3,056Thunder Ridge 4,125The markup for both swing sets is 2014% . The school decides to buy the Adventurers swing set. What is the selling price of the swing set they are buying? Round to the nearest cent if necessary. -2What is the Domain:What is the Range: What is the pH of an aqueous solution if the [H3O+] = 0.055 M? ashburn corporation issued 10-year bonds two years ago at a coupon rate of 9 percent. the bonds make semiannual payments. if these bonds currently sell for 102 percent of par value, what is the ytm? (do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) The ratio of children to teachers at a preeschool is 14:5 .How many children are there at the preschool if there are 30 teachers if the air inside the warehouse is at a warm while the outside air is a chilly and each friend is standing from the person in the doorway, what is the time difference between the arrival Nick has 32 nickels and quarters.The total value of Nick's coins is$4.60. How many nickels does hehave?A. 15B. 16c. 17D. 18 Write an equation of the line in point-slope form that passes through the given points.(3,4) and (4,7) Jefferson states that the king has established tyranny over the colonies. To back up thisstatement, Jeffersona. cites lies that are self-evidentb. portrays the king as a pawn of greedy British noblesc. describes Britain's colonization of other nationsd. lists several specific actions of the king Explain how to use a graph of the function f(x) tofind f(3). Read the passage from The Florentine Codex.And [even] before the Spaniards had risen against us, a pestilence first came to be prevalent: the smallpox. It was the month of Tepeilhuitl when it began, and it spread over the people as great destruction. Some it quite covered with blisters on all parts their faces, their heads, their chests, etc. . . . Entirely covered with blisters, very many people died of them. And very many starved; there was death from hunger, for none could take care of the sick; nothing could be done for them.The Florentine Codex, 1579What conclusion can be drawn from this passage? Why are Airplanes fast enough to travel thru the air Is Sonnet 18 (Shakespeare) worth reading in the 21st Century and Why? Determine whether the values in the tableare best modeled by a linear or nonlinearfunction. (Lesson 2-2)X-20246y6555o What is the equation of this line? Circumference =96cm, find radius, diameter and area