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3 years ago

What is the scale factor of the dilation applied to Δ DEF to produce Δ D'E'F'? (Hint: Does it get bigger or smaller?

Mathematics

1 answer:

gregori [183]3 years ago

8 0

Answer:

Dilation factor: 1/2, get smaller

Step-by-step explanation:

Dilation factor: 1/2, get smaller

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Tema [17]

Answer:

$y = \frac{1}{2} x+7$

Step-by-step explanation:

Slope-intercept form: y = mx + b

Slope formula: $\frac{y2-y1}{x2-x1}$

Given points: (-6, 4), (6, 10)

(-6, 4) = (x1, y1)

(6, 10) = (x2, y2)

To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.

First, let's find the slope. To do this, input the given points into the slope formula:

$\frac{10-4}{6-(-6)}$

Simplify:

10 - 4 = 6

6 - (-6) = 6 + 6 = 12

$\frac{6}{12}=\frac{1}{2}$

The slope is $\frac{1}{2}$ .

To find the y-intercept, input the slope and one of the given points(in this example I'll use point (6, 10)) into the equation and solve for b:

$10 = \frac{1}{2}(6)+b$

10 = 3 + b

7 = b

The y-intercept is 7.

Now that we know the slope and the y-intercept, we can write the equation:

$y = \frac{1}{2} x+7$

4 0

3 years ago

Circle towns limit form a perfectly circular shape that has a population of 20000 in the population density of 480 people per sq

Alex

Answer:

$D =\frac{P}{\pi X^2}$

And solving for the radius we got:

$X = \sqrt{\frac{P}{\pi D}}$

And replacing the data given we got:

$X = \sqrt{\frac{480 \frac{people}{km^2}}{\pi *20000 people}}= 0.0874Km$

And this value converted to meters is $X = 87.40 m$

Step-by-step explanation:

For this case we know the population size $P = 20000$ and we also know the population density $D = 480 \frac{people}{km^2}$

We can assume that the area is a circle. We also know that the formula for the population density is given by:

$D= \frac{P}{A}$

Where P represent the number of people and A the area. Since we are assuming a circle then the area is given by:

$A = \pi X^2$

With X the radius of the circle

And then the populationd density become:

$D =\frac{P}{\pi X^2}$

And solving for the radius we got:

$X = \sqrt{\frac{P}{\pi D}}$

And replacing the data given we got:

$X = \sqrt{\frac{480 \frac{people}{km^2}}{\pi *20000 people}}= 0.0874Km$

And this value converted to meters is $X = 87.40 m$

6 0

4 years ago

Find the solutions of the system y = –2x – 1 and y = 3–x–1. What are the x-coordinates of the solutions? Choose all that apply.

Wittaler [7]

Hello :
<span>y = –2x – 1....(1)
y = 3x–1.....(2)
by (1) and (2) : 3x-1 = -2x-1
5x =0
x =0 ....(</span><span>the x-coordinates of the solutions)</span>

5 0

3 years ago

Read 2 more answers

6/10+6/100= how do i do this problem

olya-2409 [2.1K]

Answer:

0.66

Step-by-step explanation:

As division is always done before addition you would divide the 6 by 10 and then divide the 6 by 100. 6 divided by 10 is equal to 0.6 as you move the decimal point to the left once. 6 divided by 100 is equal to 0.06 as you move the decimal point to the left twice. Addition is always done after division so you would add 0.6 and 0.06 together. This will give you 0.66 as your answer.

8 0

3 years ago

The point (4,-5) is rotated 90° clockwise

V125BC [204]

Answer:

5,4

Step-by-step explanation:

here is the rule (4,-5) rotate 90 clockwise = (5,4)

4,-5 will put you in the 4 quadrant rotate it 90 clock wise Put you in the first quadrant

6 0

3 years ago