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Norma-Jean [14]
3 years ago
12

Y and x have a proportional relationship, and y = 12 when x = 8.

Mathematics
1 answer:
OleMash [197]3 years ago
5 0

Answer: x is 12

Step-by-step explanation:

For directly proportional relationship, both variables change in the same direction. It means that an increase in one variable will result to an increase in the other variable. A decrease in one variable will result to a decrease in the other variable.

y and x have a proportional relationship,

We will introduce a proportionality constant and replace the proportionality symbol with an equal to symbol. Thus

y = kx

When y is 12, x is 8

Substituting into the equation,

12 = k × 8

k = 12/8 = 1.5

The equation becomes

y = 1.5x

The value of x when y is 18 will be

18 = 1.5x

x = 18/1.5 = 12

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Neporo4naja [7]

a^2 + b^2 = c^2

a = sqrt(c^2 - b^2) = sqrt (20^2 - 16^2)

= 12

sin\theta = a/c = 12/20

= 3/5

cos\theta = b/c = 16/20

= 4/5

tan\theta = a/b = 12/16

= 3/4

csc\pi = c/a = 20/12

= 5/3

= 1 2/3

sec\pi = c/b = 20/16

= 5/4

= 1 1/4


4 0
3 years ago
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Which line is parallel to a line that has a slope of 3 and a y-intercept at (0, 0)?
saul85 [17]

Answer:

HJ

Step-by-step explanation:

we know that

If two lines are parallel, then their slopes are the same

so

The slope of the line that is parallel to a line that has a slope of 3 is equal to 3

Verify the slope of the blue and red line , because their slopes are positive

<em>Blue line</em>

we have

C(-3,0),D(3,2)

The slope m is equal to

m=(2-0)/(3+3)

m=2/6

m=1/3

<em>Red line</em>

we have

H(-1,-4),J(1,2)

The slope m is equal to

m=(2+4)/(1+1)

m=6/2

m=3

therefore

The answer is the red line HJ

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3 years ago
I need help with this question, please Complete the proof (U4L2 or IXL G-D.6)
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Step-by-step explanation:

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A certain shade of pink is created by adding 3 cups of red paint to 7 cups of white paint.
elixir [45]
I’m pretty sure the answer is 0.4
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3 years ago
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Help Please I'm Out Of Time ;(
trasher [3.6K]

Answer:

Total area = 31.5 unit²

Step-by-step explanation:

Assume 1 block = 1 unit²

Divide diagram into 3 part

1. 5 by 5 block square

2. 2 by 2 block triangle(1)

2. 3 by 3 block triangle(2)

Area of square = side × side

Area of square = 5 × 5

Area of square = 25 unit²

Area of triangle(1) = [1/2][base][height]

Area of triangle(1) = [1/2][2][2]

Area of triangle(1) = 2 unit²

Area of triangle(2) = [1/2][base][height]

Area of triangle(2) = [1/2][3][3]

Area of triangle(2) = 4.5 unit²

Total area = Area of square + Area of triangle(1) +Area of triangle(2)

Total area = 25 unit² + 2 unit² + 4.5 unit²

Total area = 31.5 unit²

6 0
3 years ago
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