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krek1111 [17]
3 years ago
13

The graph of a proportional relationship contains the point (-30, 18)

Mathematics
1 answer:
Elena L [17]3 years ago
4 0

Answer:

k=-\frac{3}{5}

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

we have the point (-30,18)

so

x=-30, y=18

Find the value of k

k=\frac{y}{x}

substitute

k=\frac{18}{-30}

Simplify

Divide by 6 both numerator and denominator

k=-\frac{3}{5}

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Triangle ABC with vertices A (-1, 4), B( -4, 1), and C(-1, 1) is reflected across the y-axis and then translated 4 units to the
Anna71 [15]

Given:

Triangle ABC with vertices A (-1, 4), B( -4, 1), and C(-1, 1) is reflected across the y-axis and then translated 4 units to the left to form triangle A’B’C’.

To find:

The coordinates of the vertices of triangle A’B’C’.

Solution:

If triangle ABC reflected across y-axis, then

(x,y)\to (-x,y)

A(-1,4)\to A_1(1,4)

B(-4,1)\to B_1(4,1)

C(-1,1)\to C_1(1,1)

Coordinates of image after reflection across y-axis are A_1(1,4),B_1(4,1),C_1(1,1).

Then triangle translated 4 units to the left to form triangle A’B’C’.

(x,y)\to (x-4,y)

A_1(1,4)\to A'(-3,4)

B_1(4,1)\to B'(0,1)

C_1(1,1)\to C'(-3,1)

Therefore, the vertices of triangle A’B’C’ are A’ (-3, 4), B’ (0, 1), C’ (-3, 1).

Hence, the correct option is B.

6 0
3 years ago
What fraction of 1 pint is 1 cup
Aleonysh [2.5K]
<span>The answer is that the fraction of 1/2 pint is 1 cup. To solve this you must know the equivalence between pints and cups, and use the notion of proportions. Two cups equal one pint. Then you can state this proportion: 1 pint / 2 cups = x pint / 1 cup. When you solve for x you get: x = 1/2. Which means that 1 cup is 1/2 of 1 pint. </span>
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Alborosie
I think the answer is B
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Black_prince [1.1K]
Lets quickly run through the prime numbers and see what it is not divisible by

39 is not divisible by 2
39 IS divisible by 3

So lets stop right here.

What is 39 divided by 3? 13 !

And 13 is a prime number too!

So that is all we can do.

So prime factorization of 39 is <u>3 x 13</u><u><em /></u>
4 0
3 years ago
9. If f(x) = 5x-4 and f(2a) =156 , then what is the value of a?
solmaris [256]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

f(x) = 5x - 4

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

f(2a) = 5(2a) - 4

f(2a) = 10a - 4

156 = 10a - 4

10a - 4 = 156

Add sides 4

10a - 4 + 4 = 156 + 4

10a = 160

Divide sides by 10

\frac{10a}{10}  =  \frac{160}{10}  \\

a = 16

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

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