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Igoryamba
3 years ago
6

What Shape Is This ?

Mathematics
1 answer:
Nataliya [291]3 years ago
6 0
The shape is a Irregular pentagon
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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

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3 years ago
For pi day, Jill sells 3 apple pies and 1 lemon for &21. Jack sells 2 apple pies and 3 lemon pies for $28. What was the pric
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I'm guessing but not sure, wouldn't it be 7
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3 years ago
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linda is building a rectangular playhouse. the width is x feet. the length is x + 3 the distance around the base of the playhous
Zanzabum
No. The value of x is 7.5 feet.
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2y=x+6 2y-x=6 how do i solve following the system of equations
Margarita [4]

2y = x + 6 \\  \\ 1. \: 2y - 6 = x \\ 2. \: x = 2y - 6 \\  \\  \\ 2y - x = 6 \\  \\ 1. \:  - x = 6 - 2y \\ 2. \: x =  - 6 + 2y \\  3. \: x = 2y - 6

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3 years ago
Please help me on math homework! <br> File attached! :D
r-ruslan [8.4K]
Use pythagorena theorme

D=\sqrt{(x1-x2)^{2}+(y1-y2)^{2}}
NOTE: x1 and x2 means the first x and second x, not x^1 and x^2

points given are
(1,1)
(5,6)
x1=1
y1=1
x2=5
y2=6
D=\sqrt{(1-5)^{2}+(1-6)^{2}}
D=\sqrt{(-4)^{2}+(-5)^{2}}
D=\sqrt{16+25}
D=\sqrt{41}
6.403


answer is B
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3 years ago
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