Enter an equation in point-slope form for the line.
Slope is 8 and (-7, -1) is on the line.
The equation of the line in point slope form is:

Answers

Answer 1

Answer:

y + 1 = 8 (x + 7)

Step-by-step explanation:

point slope form is

y - y1 = m (x - x1)

So replace the y1 with the y point, and the x1 with the x point

y - (-1) = m (x - (-7) )

then replace the m with the slope

y - (-1) = 8 (x - (-7) )

now solve

y + 1 = 8 (x + 7)


Related Questions

Helpp
(Show ur work please)
This is law of cosine

Answers

Answer:

13.3

Step-by-step explanation:

[tex] a^2 = b^2 + c^2 - 2bc \cos A [/tex]

[tex] a^2 = 8^2 + 18^2 - 2(8)(18) \cos 43^\circ [/tex]

[tex] a^2 = 64 + 324 - 288(0.73135) [/tex]

[tex] a^2 = 388 - 210.6299 [/tex]

[tex] a^2 = 177.370 [/tex]

[tex] a = \sqrt{177.370} [/tex]

[tex] a = 13.318 [/tex]

Answer: 13.3

Which statement has a false converse?

A If a quadrilateral is a rectangle, then the diagonals of the quadrilateral are

congruent.

B If a quadrilateral has diagonals that bisect each other, then the quadrilateral is a

parallelogram

C if a quadrilateral is a rectangle, then all angles of the quadrilateral are right angles.

D If a quadrilateral is a parallelogram, then both pairs of opposite sides of the

quadrilateral are congruent.

Answers

Answer:

B If a quadrilateral has diagonals that bisect each other, then the quadrilateral is a parallelogram

Explanation:

A rectangle just like a square has diagonals that bisect each other and they are congruent( two lines are congruent if they are equal). A parallelogram is a quadrilateral with parallel sides and when its diagonals intersect, they are congruent too. Therefore a rectangle with diagonals that bisect each other is not necessarily a parallelogram.

a square has an area of 1 square unit what is the length of the square

Answers

Answer:

The length is one

Step-by-step explanation:

The formula to find the area of aa square is B*H. This means to solve, you do 1*1, since the base and height are both 1, and 1*1=1

A laundromat charges $1.50 to wash and $1.25 to draw a load of laundry.
Choose all of the points that would lie on a graph representing the total cost, y, to wash and dry x loads of laundry:

A. (2, 2.75)
B. (2, 5.50)
C. (3, 6.75)
D. (3, 9.75)
E. (4, 10.25)
F. (4, 11.00)

Answers

Answer:

High possibility it is A, C, D. I apologize if wrong

Step-by-step explanation:

Answer:B, C, E

Step-by-step explanation:

What is the constant proportionally of the graph
Help me

Answers

Answer:

The constant proportionally of the graph is:

k = 8

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get the equation

y ∝ x

y = kx

k = y/x

here 'k' is called the constant of proportionality.

From the graph, it is clear that:

at x = 0.5, the value of y = 4

so substituting x = 0.5 and y = 4 in the equation

k = y/x

k = 4/0.5

k = 8

at x = 1, the value of y = 8

so substituting x = 1 and y = 8 in the equation

k = y/x

k = 8/1

k = 8

Therefore, the constant proportionally of the graph is:

k = 8

List three examples of words/phrases that describe the mathematical operation of addition. (Example "Increased by") *

Answers

Answer:

Increased by, added, brought up (All I know of haha)

Step-by-step explanation:

Theres really no explanation to this other than learning your mathematical terms.

mams buy 3 large sandwiches to serve at a picnic. 9 people come to the picnic. Show 3 different ways to cut the sandwich so that each person gets an equal share.

Answers

Cut each sandwich into thirds.

Hopefully, your friends aren't very hungry

Please help me i will give a Brainly and 100 points

Answers

Answer:

Part a) The graph in the attached figure

Part b) The units rate of change is 9

Step-by-step explanation:

we know that

A relationship between two variables, t, and d, represent a proportional variation if it can be expressed in the form  or

step 1

Find the constant of proportionality k

For

substitute

the linear equation is equal to

using a graphing tool

see the attached figure

step 2

Find the unit rate

we know that

In a proportional relationship the constant of proportionality k is equal to the unit rate of change or slope m of the line, because the line passes through the origin

so

The units rate of change is 9

That means------> A change of 1 unit in t correspond to a change of 9 units in d

see the attached figure to better understand the problem

Answer:

Have a nice day! Answer is above good luck:)

Can someone help me please

Answers

Answer:

38 degrees

Step-by-step explanation:

just know

John needs to purchase a table for his room. John measured the space available as 4 ft. the actual measurement was 2.5 ft. what is John percent error.​

Answers

Answer:

62.5%

Convert fraction (ratio) 2.5 / 4 Answer: 62.5%

Step-by-step explanation:

Creating a ratio to represent the amount he was specifically off by, which inherently gives you John's percent error.

42 % of what number is .21

Answers

Answer:

0.5

Step-by-step explanation:

0.21=42%

0.21/42=1%

0.005=1%

0.005 x 100 = 100%

0.5=100%

0.5

Installation of a certain hardware takes a random amount of time with a standard deviation of 5 minutes. A computer technician installs this hardware on 64 different computers, with the average installation time of 42 minutes. Compute a 95% confidence interval for the mean installation time. Explain your interval in context.

Answers

Answer:

The 95% confidence interval for the mean installation time is between 40.775 minutes and 43.225 minutes. This means that for all instalations, in different computers, we are 95% sure that the mean time for installation will be in this interval.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]

Now, find the margin of error M as such

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96*\frac{5}{\sqrt{64}} = 1.225[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 42 - 1.225 = 40.775 minutes

The upper end of the interval is the sample mean added to M. So it is 42 + 1.225 = 43.225 minutes

The 95% confidence interval for the mean installation time is between 40.775 minutes and 43.225 minutes. This means that for all instalations, in different computers, we are 95% sure that the mean time for installation will be in this interval.

The 95% confidence interval for the mean installation time is (40.775, 43.225) and this can be determined by using the formula of margin of error.

Given :

Standard deviation is 5 minutes. Sample size is 64.Mean is 42 minutes.95% confidence interval.

The following steps can be used in order to determine the 95% confidence interval for the mean installation time:

Step 1 - The formula of margin of error can be used in order to determine the 95% confidence interval.

[tex]M = z \times \dfrac{\sigma}{\sqrt{n} }[/tex]

where z is the z-score, [tex]\sigma[/tex] is the standard deviation, and the sample size is n.

Step 2 - Now, substitute the values of z, [tex]\sigma[/tex], and n in the above formula.

[tex]M = 1.96 \times \dfrac{5}{\sqrt{64} }[/tex]

[tex]M = 1.225[/tex]

Step 3 - So, the 95% confidence interval is given by (M - [tex]\mu[/tex], M + [tex]\mu[/tex]) that is (40.775, 43.225).

The 95% confidence interval for the mean installation time is (40.775, 43.225).

For more information, refer to the link given below:

https://brainly.com/question/6979326

Which type of transformation is described by (x, y)
->
+ (x + 3, y — 2)?

Answers

Answer:

(x, y) → (x+3, y-2) means Translation 3 units left and 2 units down.

Step-by-step explanation:

Given the rule of transformation:

(x, y) → (x+3, y-2)

If we move horizontally 3 units to the right, 3 is added to the x-coordinate of any given point, and then 2 units down.

In other words,

(x, y) → (x+3, y-2) means Translation 3 units left and 2 units down.

For example,

Let say if we have the point A(4, 5)

Using the translation rule:

(x, y) → (x+3, y-2)

A(4, 5) → A'(4 + 3, 5 - 2) → A'(7, 3)

Therefore, the new position of A(4, 5) after translating 3 units left and 2 units down would be: A'(7, 3)

A bacterial culture is known to grow at a rate proportional to the amount present. After one hour, there are 1000 strands of bacteria and after four hours, 3000 strands. Find an expression for the number of strands present in the culture at any time t. What is the initial number of strands

Answers

Answer:

The expression is: [tex]P(t) = 693e^{0.3662t}[/tex]

The initial number of strands is 693

Step-by-step explanation:

A bacterial culture is known to grow at a rate proportional to the amount present.

This means that the bacterial model can be modeled by the following equation:

[tex]P(t) = P(0)e^{rt}[/tex]

In which P(0) is the initial population, and r is the growth rate.

After one hour, there are 1000 strands of bacteria

This means that [tex]P(1) = 1000[/tex], So

[tex]P(0)e^{r} = 1000[/tex]

[tex]P(0) = \frac{1000}{e^{r}}[/tex]

After four hours, 3000 strands.

This means that P(4) = 3000. So

[tex]P(0)e^{4r} = 3000[/tex]

Since [tex]P(0) = \frac{1000}{e^{r}}[/tex], we have that:

[tex]\frac{1000}{e^{r}}e^{4r} = 3000[/tex]

[tex]\frac{e^{4r}}{e^{r}} = \frac{3000}{1000}[/tex]

[tex]e^{4r-r} = 3[/tex]

[tex]e^{3r} = 3[/tex]

[tex]\ln{e^{3r}} = \ln{3}[/tex]

[tex]3r = \ln{3}[/tex]

[tex]r = \frac{\ln{3}}{3}[/tex]

[tex]r = 0.3662[/tex]

The initial population is:

[tex]P(0) = \frac{1000}{e^{0.3662}} = 693[/tex]

The expression is:

[tex]P(t) = 693e^{0.3662t}[/tex]

The equation becomes [tex]y=694(1.44)^t[/tex]. The initial number of strands is 694.

An exponential growth is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier.

Let y represent the number of strands after t hours.

After one hour, there are 1000 strands of bacteria:

1000 = ab¹

ab = 1000    (1)

After four hour, there are 3000 strands of bacteria:

3000 = ab⁴

ab⁴ = 3000    (2)

Dividing equation 2 by 1:

b³ = 3

b = 1.44

ab = 1000

a = 1000/b = 1000/1.44 = 694

The equation becomes [tex]y=694(1.44)^t[/tex]

Find out more at: https://brainly.com/question/12490064

After four rounds, 74 teams are eliminated from a robotics competition. There are 18 teams remaining. Write and solve an equation to find the number of teams t that started the competition.

Answers

It is 92 .............

The length of a rectangular table is 3 times its width. If the total perimeter of the table is 36 meters. What is the length and the width of the table?

Answers

Answer:

Length = 13.5 m

Width = 4.5 m.

Step-by-step explanation:

Use an equation in x, where x = width of the table.

Length =  3x, so:

2*3x + 2x = 36

6x + 2x = 36

8x = 36

x = 36/8 =  4.5 metres.

So the length = 3*4.5 = 13.5 and width = 4.5 m.

Length = 13.5 m

Width = 4.5 m.

What is the perimeter?

A closed route that covers, encircles, or outlines a one-dimensional length or a two-dimensional form is called a perimeter.

Given, The length of a rectangular table is 3 times its width. If the total perimeter of the table is 36 meters.

Use an equation in B, where B = width of the table.

Length =  3B,

2*3B + 2B = 36

6B + 2B = 36

8B = 36

B = 36/8 =  4.5 meters.

So the length = 3*4.5 = 13.5 and width = 4.5 m.

Therefore, the length and the width of the given rectangle are 4.5 and 13.5 respectively.

Learn more about perimeter here:

https://brainly.com/question/9369181

#SPJ2

Timothy purchased a computer for $1,000.


The value of the computer depreciates by 20% every year.


This situation represents [a.) exponential decay, b.) exponential growth]


The rate of growth or decay, r, is equal to [c.) 0.8, d.) 1.2, e.)0.2

year.


So the value of the computer each year is [f.) 20 %, g.) 80%, h.) 120%] of the value in the previous year.


It will take [i.) 3, j.) 2, k.) 4, l.) 5.] years for the value of the computer to reach $512.

Answers

Answer:

This situation represents [a.) exponential decay

The rate of growth or decay, r, is equal to  c.) 0.2

So the value of the computer each year is g.) 80% of the value in the previous year.

It will take [i.) 3 years for the value of the computer to reach $512.

Step-by-step explanation:

Since the value depreciates each year, it represents exponential decay.

The rate of growth or decay, r, is equal to

Depreciates 20%, so r = 0.2.

So the value of the computer each year is ... of the value in the previous year,

Depreciates 20%, so it is 100% - 20% = 80% of the value in the previous year.

It will take x years for the value of the computer to reach $512.

The value of the computer after x years is given by:

[tex]V(x) = V(0)(1-r)^x[/tex]

In which V(0) is the initial value and r is the decay rate. So

[tex]V(x) = 1000(1-0.2)^x[/tex]

[tex]V(x) = 1000(0.8)^x[/tex]

We want to find x for which V(x) = 512. So

[tex]V(x) = 1000(0.8)^x[/tex]

[tex]512 = 1000(0.8)^x[/tex]

[tex](0.8)^x = \frac{512}{1000}[/tex]

[tex](0.8)^x = (0.512)[/tex]

Applying log to both sides:

[tex]\log{(0.8)^x} = \log{(0.512)}[/tex]

[tex]x\log{0.8} = \log{(0.512)}[/tex]

[tex]x = \frac{\log{0.512}}{\log{0.8}}[/tex]

[tex]x = 3[/tex]

So it will take 3 years.

Find the perimeter of a triangle with side lengths: (y + 5) ft, (3y + 5) ft, and (4y - 3) ft.

Answers

Answer:

8y + 7

Step-by-step explanation:

add them: y + 5 + 3y + 5 + 4y - 3 = 8y + 7

how do you tell if an equation is a function ​

Answers

You can tell whether a relation is a function by plotting the numbers on a graph and applying the vertical line test. If no vertical line passing through the graph intersects it at more than one point, the relation is a function.

Answer:

Step-by-step explanation:  You can tell whether a relation is a function by plotting the numbers on a graph and applying the vertical line test. If no vertical line passing through the graph intersects it at more than one point, the relation is a function.

______________________________

Have a nice day!

ACTIVITY 1
Directions: Find the unknown principal P, rate r, time t, and simple
interest Is by completing the table. Use separate sheet/s of paper for your
answer.
Principal (P)
Rate (T)
Time (t)
8%
15
2%
5
Simple Interest
(Is)
(1)
10,000
3,600
175,500
10,000
(2)
360,000
500,000
2
(3)
10.5%
Activity 2
Directions: Find the unknown principal P, maturity value, and
compound interest Ic by completing the table. Use separate sheet/s of paper
for your answer.
Maturity Value
Principal (P) Rate(r) Time(t)
Compound
Interest (Ic)
(1)
10,000
(3)
8%
2%
15
5
(2)
50,000​

Answers

Answer:

500,000

2

(3)

10.5%

Activity 2

Directions: Find the unknown principal P, maturity

The width of a rectangle is 7 inches less than the length. The perimeter is 62 inches. Find the length and the width.

Answers

Answer: Perimeter = 2(L) + 2(W) Length = 7W - 2 Perimeter = 60 60 = 14W - 4 + 2(W) 60 =16W - 4 64 = 16W Width = 4 Length = 7(4) - 2 Length = 26

I hope this helped!

Step-by-step explanation:

PLEASE HELL I NEED THIS ONE FAST PLEASE

Which statement is true about the decimal expansion of ? 3/7
O A. It is a rational number because it is a terminating decimal.
○B. It is an irrational number because it is not a terminating decimal.
○C. It is a rational number because after reaching a remainder of 3 for the second time the quotient will start repeating.
O D. It is an irrational number because after reaching a remainder of 3 for the second time the quotient will start repeating.​

Answers

Answer:

A is the answer because divide 7 divided by 3 a

please help meeeeeeeeeee

Answers

Answer:

area of trapezoid is  [tex]\mathbf{Area=(\frac{4+8}{2})\times 6}[/tex]

Step-by-step explanation:

We have

a = 4 cm

b = 8cm

h = 6cm

We need to find area of trapezoid

The formula used is: [tex]Area=\frac{a+b}{2}\:h[/tex]

Putting values and finding expression:

We will not be solving the expression as question required just to find the expression by putting respective values.

[tex]Area=\frac{a+b}{2}\:h\\Area=(\frac{4+8}{2})\:\times 6[/tex]

So, area of trapezoid is  [tex]\mathbf{Area=(\frac{4+8}{2})\times 6}[/tex]

The sum of nineteen and four times a number equals 39. Suppose x represents the unknown number. Translate this problem into a mathematical statement.

Answers

Answer:

19 + 4x = 39

Step-by-step explanation:

What is the sum of
1
8
+
5
16
+
3
8
?

Answers

Answer:

41

Step-by-step explanation:

Answer:

18+516+38=18+554=572

Quadrilateral ABCD is a rhombus.
AD = 13 cm & BD = 24 cm,

find AC

Answers

Answer:

64

Step-by-step explanation:

PLEASE HELP YOU WILL GET BRAINLIEST IF YOU GET THIS RIGHT FIRST

Answers

The answer is angle CED is 48.

A rug shaped like a rectangle is 2.5 meters long and 1.8 meters wide what is the perimeter in meters of the rug

Answers

Answer:

P = 8.6 m

Step-by-step explanation:

Given that,

The length of a rectangle = 2.5 m

The width of a rectangle = 1.8 m

We need to find the perimeter of the rug. The perimeter of a rectangle is given by :

P=2(l+b)

= 2(2.5+1.8)

= 8.6 m

So, the perimeter of the rug is 8.6 m.

△ abc is an equilateral triangle, bc must be 2 cm True or False

Answers

False. Hope this helps

< 1 2 The circumference of a circle is 47.1 feet. What is the diameter of the circle? ​

Answers

Step-by-step explanation:

[tex]47.1 = 2\pi \times r \\ r = \frac{47.1}{2\pi} = 7.4962996 \\ diameter = 2 \times r \\ = 14.99 = 15 \: feet[/tex]

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Over the past four years, the common stock of Jess Electronics Co. produced annual returns of 7.2, 5.8, 11.2, and 13.6 percent, respectively. Treasury bills produced returns of 3.4, 3.3, 4.1, and 4.0 percent, respectively over the same period. What is the standard deviation of the risk premium on Jess Electronics Co. stock for this time period? (Hint: First, calculate the risk premium for the stock in each of the years. Then, use these 4 annual risk premiums to calculate the standard deviation in the normal way that standard deviation is calculated.).A. 2.23 percentB. 4.46 percentC. 3.22 percentD. 2.86 percentE. 4.61 percent A class writes the equation n + n + 1 + n + 2 = 87 to solve the following problem. The sum of 3 consecutive odd integers is 87. Find the three integers.What error did they make? What are the quotient and remainder of (x^5- 1) /(x-1)? What is a time in the past that you celebrated something good that happened?i need help asap En el prrafo 4, cul es el significado de la palabra apoyar?A. AlentarB. Para apoyarC. Para consolarD. Empatizar Can yall help me on question 12?! pls answer question below. Orientation responsibilities are normally shared between:of 2Select one:a. the HR department and top management.b. mid- and upper-level executives.C. coworkers and line managers.d. the HR department and the new employee's immediate manager.Clear my choice Which statement describes the sequence defined by ann3 +3?n2-60O The sequence diverges.O The sequence converges to a limit of 0.O The sequence converges to a limit of infinity O The sequence converges to a limit of - infinity Given that 6 > 2, which statements are true? Check all that apply.(2)(6) > (2)(2)6/2 < -2/2(2)(6) > (2)(2)6/-2 < -2/-2(2)(6) < (2)(2)6/2 > -2/2 What is the greatest common factor of 39, 42, and 33?HELP PLSSS!!! f. Taking drugs is not to enjoy but to kill ourselves and destroy the familystructure." Justify. An empty parallel plate capacitor is connected between the terminals of a 5.12-V battery and charges up. The capacitor is then disconnected from the battery, and the spacing between the capacitor plates is doubled. As a result of this change, what is the new voltage between the plates of the capacitor ? x 3= 192 answer the question Sam's Fruit Cellar earns a $0.40 profit for each apple that it sells and a $0.40 profit for each banana that it sells. Which expression(s) show(s) Sam's totalprofits from selling apples (a) and bananas (b)? Select all that apply.*00.40(ab)*0 0.80(a + b)*0.80(ab)*0.40a+ 0.40b*0.40(a + b)*0.40+ a +0.40 + b Giving brainliest plz help ty please help me ;3 (ALSO REMEMBER IT SAYS SELECT TWO) Can someone please tell me how to save a screenshot on windows 10?I have to do this assignment for tec and I don't understand how to do it.PLEASE DON'T USE ME FOR POINTS!! Please and Thank you! PLS HELP Its due tommorow Which of the following is not a main function of the skeletal system? A. helping you breathe B. helping you move C. protecting your organs D. giving your body support HELPPPPPPPPPPPPPPPPPPPPPP !!