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2 years ago

State the scale factor of the dilation about the origin of the black image to the blue image

Mathematics

1 answer:

tatuchka [14]2 years ago

6 0

Answer:

I think it would be dilation 2

Step-by-step explanation:

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What I the slope of a line that is perpendicular to the line 2y-3x=8

Zolol [24]

<u>ANSWER</u>

$- \frac{2}{3}$

<u>EXPLANATION</u>

The given given equation is

$2y - 3x = 8$

We need to rewrite this equation in the slope-intercept form:

$y = mx + b$

We add 3x to both sides.

$2y - 3x + 3x=8 + 3x$

$\implies \: 2y = 3x + 8$

We divide through by 2 to get,

$y = \frac{3}{2}x + 4$

The slope of this line is

$m = \frac{3}{2}$

Let the slope of the line perpendicular to this line be 'n' .

Then the product of the slopes of two perpendicular lines is always negative 1.

$m \times n = - 1$

$\implies \: \frac{3}{2} n = - 1$

$\implies \: \frac{2}{3} \times \frac{3}{2}n = - 1 \times \frac{2}{3}$

$n = - \frac{2}{3}$

Therefore the slope of the new line is

$- \frac{2}{3}$

6 0

3 years ago

Please only answer if you can help!! Which statements describe the end behavior of f(x)?

noname [10]

Answer:

Step-by-step explanation:

Let’s start seeing what happens to the left. It stops before x = -1, but it continues to do down

so as x approaches -1, y approaches -oo

Now we have to see what happens to the right. In the case the graph doesn’t stop and it keeps to go up

so as x approaches oo, y approaches oo

6 0

3 years ago

Can you help me with this

ahrayia [7]

Step-by-step explanation:

1. YES

2. YES

3. YES

4. NO

this is a decimal that neither terminates nor repeats.

5 0

2 years ago

Write an equation for the sentence "The product of a number n and 7.7 equals 112.42." Solve for the variable.

pishuonlain [190]

Answer:

$7.7n=112.42$

$n=14.6$

Step-by-step explanation:

The product is the result obtained by multiplying two factors. Then, the sentence ""The product of a number n and 7.7 equals 112.42" can be expressed with the following equation:

$7.7n=112.42$

To solve for the variable "n", you has two apply the Division property of equality and divide both sides of the equation by 7.7

Therefore, the value of "n" is:

$\frac{7.7n}{7.7}=\frac{112.42}{7.7}\\\\n=14.6$

8 0

3 years ago

Find the point on the directed segment from (−3, −2) to (4, 8) that divides it into a ratio of 3: 2

White raven [17]

Answer:

I think this is the correct answer

6 0

3 years ago