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Dima020 [189]
3 years ago
15

Point a(10,9) and point b(-2,3). What are the coordinates of the point of the way from a to b?

Mathematics
1 answer:
Tasya [4]3 years ago
8 0

Answer:.

....

Step-by-step explanation:

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Find the constant of proportionality k. Then write an equation for the relationship between x and y
ExtremeBDS [4]

Question:

Find the constant of proportionality k. Then write an equation for the relationship between x and y

\begin{array}{ccccc}x & {2} & {4} & {6} & {8} \ \\ y & {10} & {20} & {30} & {40} \ \ \end{array}

Answer:

(a) k = 5

(b) y = 5x

Step-by-step explanation:

Given

\begin{array}{ccccc}x & {2} & {4} & {6} & {8} \ \\ y & {10} & {20} & {30} & {40} \ \ \end{array}

Solving (a): The constant of proportionality:

Pick any two corresponding x and y values

(x_1,y_1) = (2,10)

(x_2,y_2) = (6,30)

The constant of proportionality k is:

k = \frac{y_2 - y_1}{x_2 - x_1}

k = \frac{30-10}{6-2}

k = \frac{20}{4}

k = 5

Solving (b): The equation

In (a), we have:

(x_1,y_1) = (2,10)

k can also be expressed as:

k = \frac{y- y_1}{x- x_1}

Substitute values for x1, y1 and k

5 = \frac{y- 10}{x- 2}

Cross multiply:

y - 10 = 5(x - 2)

Open bracket

y - 10 = 5x - 10

Add 10 to both sides

y - 10 +10= 5x - 10+10

y = 5x

6 0
3 years ago
After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. You notice the rainbow is the shape of a parab
gregori [183]

Answer:

a

Step-by-step explanation:

7 0
3 years ago
The perimeter of a rectangle is 42 inches. If the width of the rectangle is 6 inches, what is the length?
snow_lady [41]

Answer:

7

Step-by-step explanation:

8 0
3 years ago
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She has enough bricks to cover 60 square feet. She wants the length of the patio to be 4 feet longer than the width. What dimens
Natalija [7]

Answer:

10 feet length and 6 feet width.

Step-by-step explanation:

If the total area of the patio is going to be equal to 60 square feet and the length is going to be 4 feet longer than the width, the dimensions that she should use for the patio are 10 feet for the length and 6 feet for the width which will equal to 60 square feet in total.

I hope this answer helps.

3 0
4 years ago
Choose the graph that represents the point on a coordinate plane.
katen-ka-za [31]

Where are the graphs?

the graph that will represent the points, is the one with the points on it 8 for x value and 6 for y value

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3 years ago
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