Write in standard form the equation of the line with the given slope through the given point. slope = 6; (1/2,2)

Answers

Answer 1

we are given m=6 and a point MEANING WE CAN SUBSTITUTE THE KNOWNS TO GET C IN THE EQUATION Y=MX+C

[tex]2 = 6( \frac{1}{2} ) + c \\ 2 = 3 + c \\ c = 2 - 3 \\ c = - 1[/tex]

THEREFORE

[tex]y = 6x - 1[/tex]

IS THE ANSWER.

HOPE THIS HELPS


Related Questions

Which ordered pairs are on the graph of 7x−y=2?

Select ALL that applies.

A. >>(−3,−19)open paren negative 3 comma negative 19 close paren

B. (−1,−9)open paren negative 1 comma negative 9 close paren

C. (0,−2)open paren 0 comma negative 2 close paren

D. (1, 9)(1, 9)

(3, 23)(3, 23)

Answers

The ordered pairs which are on the graph of 7x - y = 2 as required in the task content are; Choices B and C; (-1, -9) and (0, -2).

Which ordered pairs are on the graph of 7x - y = 2 as required in the task content?

It follows from the task content that the ordered pairs which are on the graph of 7x - y = 2 be determined.

Hence, by testing each pair as follows; we have;

For (-3, -19); we have; 7(-3) - (-19) = 2; -21 + 19 = 2; -2 ≠ 2. Hence, FALSE.

For (-1, -9); we have; 7(-1) - (-9) = 2; -7 + 9 = 2; 2 = 2. Hence, TRUE.

For (0, -2); we have; 7(0) - (-2) = 2; 0 + 2 = 2; 2 = 2. Hence, TRUE.

For (1, 9); we have; 7(1) - (9) = 2; 7 - 9 = 2; -2 ≠ 2. Hence, FALSE.

For (3, 23); we have; 7(3) - (23) = 2; 21 - 23 = 2; -2 ≠ 2. Hence, FALSE.

Ultimately, the required ordered pairs are; (-1, -9) and (0, -2).

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Convert the following repeating decimal to a fraction in simplest form. .07​

Answers

1/7 is the answer to this problem

Given: 4+x=16


What is the value of x?
Need this answered ASAP

Answers

Answer:

To get the answer for X we have to subtract 16 from 4 which gives us 12

X=12

Hope this helps.

Answer:

4+X= 16

X=16-4

X=12

*To find X , you need to minus 16 by four. That is because you have to move (+4) to the other side (change sides,change signs). So (+4) becomes (-4) so 16-4 =12

how to find the edge of a cube with the volume of 125 inches

Answers

Answer:

5 inches

Step-by-step explanation:

Hello!

The volume of a cube is simply the side length cubed, or the side lengthed multiplied by itself 3 times.

So, to find the edge, we can find the cube root of 125 to find that measure.

Find the Side Lengthx³ = 125x = ∛125x = 5

The edge is 5 inches.

Suppose a projectile is fired from a cannon with velocity v0 and angle of elevation θ. The horizontal distance Rθ it travels (in feet) is given by the following. R(θ)=(v0)²sin2θ/32 If v0=80ft/s, what angle θ (in radians) should be used to hit a target on the ground 129 feet in front of the cannon? Do not round any intermediate computations, and round your answer(s) to the nearest hundredth of a radian. (If there is more than one answer, enter additional answers with the "or" button.)​

Answers

The angle at which the projectile should be launched to hit the target which is 129 feet away is 7/100π.

The projectile fires with a velocity V₀ and angle of elevation θ, then the horizontal distance is given by the R(θ),

R(θ) = V₀²sin2θ/32

The given function in dependent on theta θ,

The angle at which the projectile must be fired so that it reaches the horizontal distance of 129 feet in front of the cannon,

R(θ) = V₀²sin2θ/32

putting R(θ) equal to 129,  V₀ = 80ft/s,

129 = (80)²sin2θ/32

sin2θ = (129 x 32)/(80 x 80)

sin2θ = 0.645

Hence,

θ = 7/100π

so, the projectile should be launched at angle of 7/100π.

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Answer the 4 question in the photo for EASY points ( 20 points )

Answers

The pink ribbon is shortest.

Purple > yellow > silver > pink

You can also use an area model to find the product of 253 x 34

Answers

Answer: 8602 is the answer to 253 x 34, do you want the other parts solved too?

Step-by-step explanation:

Calculate the surface area of the can. Area of a circle =
Height = 10cm
Diameter = 7 cm
Please help me thank you!
What is the surface area of the circle?

Answers

The surface area of the can is 220cm².

The height of the can is 10cm, and the diameter is 7cm.

height (h) = 10cm

radius(r) = 7/2 cm

The formula to find the surface area of the can = 2πrh

                                                                              = 2 × 22/7 × 7/2 × 10

                                                                              = 220cm²

Therefore the surface area of the can is 220cm².

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help me 20 points please

Answers

Answer:

Step-by-step explanation:

the one on top is simple it's 120

one number is 9 more than 3 times another. Their product is 9 more than 3 times their sum. Find the numbers. Answer in the form of paired points with the lowest of the two integers first

Answers

Let x and y be the two numbers we are trying to find.

'One number is 9 more 3 times another' is equivalent to x=9+3y

'Their product is 9 more than 3 times their sum' is equivalent to xy=9+3(x+y)

We have two equations and two unknowns; therefore, we can solve the problem

[tex]\begin{cases}x=9+3y \\ xy=9+3(x+y)\end{cases}[/tex]

Solve it as shown below

[tex]\begin{gathered} x=9+3y \\ \Rightarrow xy=(9+3y)y=9y+3y^2 \\ \text{and} \\ 9+3(x+y)=9+3(9+3y+y)=9+3(9+4y)=9+27+12y=36+12y \\ \Rightarrow9y+3y^2=36+12y \\ \Rightarrow3y^2-3y-36=0 \\ \Rightarrow y^2-y-12=0 \end{gathered}[/tex]

Solve the quadratic equation

[tex]\begin{gathered} y^2-y-12=0 \\ \Leftrightarrow(y-4)(y+3)=0 \\ \Rightarrow y=4,y=-3 \end{gathered}[/tex]

Finally,

[tex]\begin{gathered} y=4 \\ \Rightarrow x=9+3(4)=21 \\ \Rightarrow(21,4) \\ y=-3 \\ \Rightarrow x=9+3(-3)=0 \\ \Rightarrow(0,-3) \end{gathered}[/tex]

The solutions are (21,4) and (0,-3)


HELP PLEASE ITS DUE BY MIDNIGHT

Answers

where i put the red dots is where you have to put them

mr jeneski is preparing for a half marathon. He runs a total of 60 miles per week. Five of those miles are ran on saturday, and he takes sunday off. How many miles does he run per day, Monday-Friday

Answers

11 miles he run per day, Monday-Friday.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit,  followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Total distance travelled = 60 miles.

On Saturday= 5 miles

Sunday was off

So, from Monday to Friday he travelled

=60 - 5

= 55 miles.

and, per day he run

= 55/5

= 11 miles

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Ron's youth group commits to making a certain number of sandwiches for a local soup
kitchen. They make 132 sandwiches, but then they run out of peanut butter. The group still
has 110 sandwiches left to make to meet their commitment.
Use an equation to find the total number of sandwiches the youth group commits to making.
sandwiches

Answers

Answer:

242 sandwiches

Step-by-step explanation:

The group wants to make x number of sandwiches.

They have already made 132 sandwiches and still have 110 sandwiches to make.

To find the total, you can add these numbers up, because:

132 + 110 = total sandwiches

This way, you get 242 sandwiches

Damon drew a scale drawing of a swimming pool. The scale he used was 1 inch : 9 feet. The diving board is 2 inches long in the drawing. How long is the actual diving board?

Answers

Since the scale utilized in the draw is 1 inch : 9 feet and the diving board is 2 inches, we need to multiply the 2 inches by the scale:

[tex]2\cdot9ft=18ft[/tex]

The actual diving board is 18ft long

PLS HELO IM MARKING BRAINLEIST!!

Answers

 ∠O  ≅  ∠U is third statement which is congruent .

What is congruent triangle?

Two figures are said to be "congruent" if they can be placed perfectly over one another. Both of the bread slices are the same size and shape when stacked one on top of the other. Congruent refers to having precisely the same form and size.If all three sides of two triangles are the same, they are said to be congruent. If we have a side, an angle between the sides, and then a second side that is congruent, we know they are congruent. In other words, side, angle, side.

ΔONP and ΔUTV are congruent .

By using ASA Theorem ,

                 NP ≅ TV

                ∠P  ≅  ∠V

                ∠O  ≅  ∠U

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Answer:

∠O  ≅  ∠U is third statement which is congruent .

Step-by-step explanation:

What is congruent triangle?

Two figures are said to be "congruent" if they can be placed perfectly over one another. Both of the bread slices are the same size and shape when stacked one on top of the other.

Congruent refers to having precisely the same form and size.

If all three sides of two triangles are the same, they are said to be congruent.

If we have a side, an angle between the sides, and then a second side that is congruent, we know they are congruent. In other words, side, angle, side.

ΔONP and ΔUTV are congruent .

By using ASA Theorem ,

                NP ≅ TV

               ∠P  ≅  ∠V

               ∠O  ≅  ∠U

BRAINLIST??

12x + 5y = -24 13x - 5y = 14 Linear Equations By Elimination

Answers

Let,

[tex]\begin{gathered} 12x+5y=-24\ldots(1) \\ 13x-5y=14\ldots(2) \end{gathered}[/tex]

Perform the operation (1)+(2),

[tex]\begin{gathered} 12x+5y+(13x-5y)=-24+(14) \\ 12x+13x+5y-5y=-10 \\ 25x+0y=-10 \\ 25x=-10 \\ x=\frac{-10}{25} \\ x=\frac{-2}{5} \end{gathered}[/tex]

Substitute the value of x=-2/5 in the expression (1).

[tex]\begin{gathered} 12\times\frac{-2}{5}+5y=-24 \\ 5y=-24+\frac{24}{5} \\ 5y=\frac{-96}{5} \\ y=\frac{-96}{5\times5} \\ y=\frac{-96}{25} \end{gathered}[/tex]

Thus, the value of x is -2/5 and value of y is -96/25.

What is 0.044444... as a fraction?

Answers

Answer:

0.044444 = 11111/250000

Step-by-step explanation:

[tex]=\frac{44444}{1000000} =\frac{22222}{500000} =\frac{11111}{250000}[/tex]

Hope this helps

Or the answer could be 4/9.
10x = 4.444444444444444
. X= 0.444444444444444

4/9.

Calculate (9.5 × 106) + (4.2 × 106)
Give your answer in standard index form.

Answers

Answer:

1.4522 x [tex]10^{3}[/tex]

how would i solve this?

Answers

FIRST FIND THE EQUATION OF THE LINE

I WILL USE THE POINTS (-94,24) AND (-54,12)

TO FIND THE GRADIENT

[tex]m = \frac{y2 - y1}{x2 - x1} \\ m = \frac{12 - 24}{ - 54 - ( - 94)} \\ m = \frac{ - 24}{ - 54 + 94} \\ m = \frac{ - 24}{40} \\ m = \frac{ - 3}{5} [/tex]

THE m ABOVE IS THE GRADIENT.

I WILL USE THE POINT (-74,18) TO GET THE VALUE OF C IN THE EQUATION Y=MX+C

[tex]15 = \frac{ - 3}{5} ( - 74) + c \\ 15 = \frac{222}{5} + c \\ c = 15 - \frac{222}{5} \\ c = \frac{ - 147}{5} [/tex]

THEREFORE THE EQUATION NOW IS

[tex]y = \frac{ - 3}{5} x - \frac{147}{5} \\

FOR THE X-INTERCEPT Y=0 SINCE IN THR X-AXIS Y=0..PLUG IN 0 IN THE PLACE OF Y TO GET X-INTERCEPT.

[tex] \frac{ - 3}{5} x - \frac{147}{5} = 0 \\ \frac{ - 3}{5} x = \frac{147}{5} \\ x = \frac{147}{5} \div \frac{ - 3}{5} \\ x = - 49[/tex]

(-49,0)

NEED HELP ASAP - 100 Points (Operations with Polynomials)
In multiple sentences, create your own real-world application problem for either adding or subtracting polynomials. Include a description of how the problem can be solved.

Answers

Answer: Well we can look at whether or not cubes may or may not equal the same by using volume and surface area, where the volume can be used as x^3 and the surface area x^2, but the reason why polynomials can help us a great deal in world problems is whether or not measurements are accurate, or just in general for solving big math equations. Hope this helps.

An empty swimming pool is shaped like a rectangular prism with a length of 18 feet and a width of 9 feet. once water begins to be pumped into the pool, the depth of the water increases at a rate of 0.5 foot per hour.

Answers

Answer:

volume=length×width×depth

Step-by-step explanation:

Based on triangle inequality theorem, what are the restrictions on the values of y

Answers

The restriction on the the values of y of the triangle is 4 < y < 16

How to find the side of a triangle using the triangle inequality theorem?

The triangle inequality theorem describes the relationship between the three sides of a triangle.

According to triangle inequality theorem, for any given triangle, the sum of two sides of a triangle is always greater than the third side.

Therefore, a triangle x, y and z have the following rule:

x < y + z

y < x + z

z < x + y

Hence, the restriction of the on the values of y, third side of the triangle is as follows:

6 < 10 + y

10 < 6 + y

y < 10 + 6, y < 16

Therefore, the restriction is y > 4 and y < 16.

Hence,

4 < y < 16

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BRAINLIEST will be given to the answer
Write in the form (x + p)^2 + q
x^2 - 5x + 3

Answers

Answer:[tex][x{-\frac{5}{2}] ^{2} +\frac{-12}{25}[/tex] is in the form [tex][x+p]^{2} +q[/tex]

Step-by-step explanation:

Here given is [tex]x^{2} -5x+3[/tex].................................eq [1]

now we know that  [tex][x-\frac{5}{2}] ^{2}[/tex]= [tex]x^{2} -5x+\frac{25}{4}[/tex]............eq [2]

now add and subtract [tex]\frac{25}{4}[/tex] in eq 1

 [tex]x^{2} -5x+3+\frac{25}{4} -\frac{25}{4}[/tex]

 [tex]x^{2} -5x+\frac{25}{4}+3-\frac{25}{4}[/tex]

  [tex][x-\frac{5}{2} ]^{2} +\frac{3*4-25}{4}[/tex]................................from eq[2]

  [tex][x{-\frac{5}{2}] ^{2} +\frac{-12}{25}[/tex]

  so comparing with the given form [tex][x+p]^{2} +q[/tex]

   where p=[tex]\frac{5}{2\\}[/tex]  and   q=[tex]\frac{-12}{5}[/tex]

 

       

     

(-5 -5) (10 4), point-slope

Answers

The slope is 5/3, and the point-slope is y = 5(x+2)/3.

Describe point slope.

A linear equation has the general form y-y1=m (x-x1). It highlights the line's slope as well as one of the line's points (that is not the y-intercept).

The formula provided is to find slope, i.e.

m = (y2 - y1) / (x2 - x1) (x2 - x1)

where (-5, -5) for (x1, Y1) and (x2, Y2) (10, 4)

m = (10 + 5) / (4 + 5)

= 15 / 9

= 5 / 3

Now that we have the slope value, we can easily enter it into the supplied equation.

y - y1 = m(x - x1) (x - x1)

y + 5 = 5/3(x + 5)

Upon resolution, we obtain

y = 5x/3 + 10/3

or, y = 5(x + 2)/3

As a result, the slope is 5/3 and the point-slope is y = 5(x+2)/3.

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What is the slope line that passes through the points (-6,4) and (-15,4)?

Answers

Answer: the slope=0

Step-by-step explanation:

[tex]\displaystyle\\(-6,4)\ \ \ \ \ (-15,4)\\\\\boxed {The\ slope=\frac{y_2-y_1}{x_2-y_1} }\\\\The\ slope=\frac{4-4}{-15-(-6)} \\The\ slope=\frac{0}{-15+6} \\\\The\ slope=0[/tex]

HELP PLEASE I GIVE BRAINY IF U ANSWER RIGHT AND IF I CANT READ THAT THERE IS MORE THEN ONE ANSWER U WONT GET ANYTHING

ANSWER BOTH QUESTIONS PLEASE IF U DON'T I WONT GIVE U A THING

Question 1

Which ordered pairs lie on the graph of the exponential equation

f(x) = 25(2.2)^x ?


Select EACH correct answer.

A. (0, 0)

B. (0.5, 37.08)

C. (1, 55)

D. (2, 121)




THE FIRST PICTURE GOES WITH QUESTION 2 ONLY

Question 2

The function f(x) = (3/8)^x is shown on the coordinate plane.

Determine which expressions describe the end behaviors of the function.


Select EACH correct answer.

A. As x increases without bound, the graph of f(x) decreases without bound.

B. As x increases without bound, the graph of f(x) approaches y = 1.

C. As x decreases without bound, the graph of f(x) increases without bound.

D. As x decreases without bound, the graph of f(x) approaches y = 0.

Answers

The ordered pairs lie on the graph of the exponential equation is

(0.5, 37.08) (1, 55) (2, 121)What is exponential equation?

Exponents are used in exponential functions, as the name indicates. But take note that an exponential function does not have a constant as its base and a variable as its exponent (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function). One of the following forms can be used for an exponential function.

According to its definition, a fundamental exponential function has the formula f(x) = [tex]b^x[/tex], where b is a constant and x is a variable. The exponential function f(x) = [tex]e^x[/tex], where "e" is "Euler's number," and e = 2.718, is one of the most well-known ones. An exponential function may incorporate a constant if we expand the potential of various exponential functions.

Given function:

f(x) = 25 [tex](2.2)^x[/tex]

Now, taking x=0

y = f(x) = 25

and, x=0.5

y= f(x) = 37.08

and, x = 1

y = 55  

and, x=2

y = 121

So, the ordered pairs lie on the graph of the exponential equation is

(0.5, 37.08) (1, 55) (2, 121)

2. The given function is [tex]f(x)= (3/8)^x[/tex]

Now, as per the graph As x decreases without bound, the graph of f(x) approaches y = 1.

Or,  As x decreases without bound, the graph of f(x) increases without bound.

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2. You are riding your bicycle. It takes you 20 minutes to go 5 miles.
a. Find your average speed per minute.
b.
How long would it take you to cycle 12 miles?

Answers

Answer:

a= one mile in 4 minutes

b =48 minutes

Step-by-step explanation:

A

t = 20 minutes

d = 5 miles

Average speed = distance ÷ time

5 miles÷ 20 minutes

= 1 mile in 4 minutes

= 0.25 miles in 1 minute

B

0.25 miles in 1 minute

12 miles in g minutes

12 miles in 48 minutes

we get this answer because 0.25 in one minute is 1 ÷4

12÷ 12 × 4

12÷ 48

= 12 miles In 48 minutes

A box contains 5 reams of paper. How could you estimate the thickness of 2 sheets of paper. One ream is 500 sheets.

Answers

Answer:

If one ream is 500 sheets, then that would mean that two reams combined are 1,000 sheets, and the fact that there are 5 reams is just a random number meant to throw you off.

Work out, giving your answer in it's simplest form: 4 1/5 × 5/14​

Answers

Answer is 3/2 or 1 1/2

Step by step


First change your mixed number 4 1/5 into a fraction 21/5

Now set up your question

21/5 x 5/14

See picture attached

You can cross cancel out the 5’s for easy math, then multiply across you get 21/14.

Now simplify.

21 and 14 are both divisible by 7 = 3/2

3/2 is you answer in simplest form, or 1 1/2

A rectangular park is 40 yards wide. then a city planner designs a path that is 1 yard wide to run all the way around the park.now the area of the park plus the path is 4200 square yards.how long is the park not counting the path?

Answers

The length of the park not counting the path is 98 yards

How to determine the length of the park

The formula for determining the area of a rectangle is expressed as;

Area = lw

Where;

l is the length of the rectanglew is the width of the rectangle

From the information given, we have that;

The dimensions of the path having a width of 1 yard path around it are

(L+2) x (W+2)

We have to add 2 to the length and width because there will be a 1 yard path on all 4 sides of the rectangle

Given that the area is 4200 square yards; the original width is 40 yards

Now, substitute the values into the formula, we have;

Since Area = LW

4200 = (L+2)(W+2)

4200 = (L+2)(40+2)

Add the values

4200 = (L+2)(42)

expand the bracket

4200 = 42L + 84

collect like terms

4116 = 42L

Make 'L' the subject of formula

L = 98 yards

Hence, the length is 98 yards

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Answer:

98 yards

Step-by-step explanation:

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