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3 years ago

Which graph shows the result of dilating this figure by a factor of 4 about the origin?

Mathematics

2 answers:

Sati [7]3 years ago

8 0

Answer:

$A(-2,2);B(6,2);C(6,-2);D(-2,-2)$

Step-by-step explanation:

If the given figure is dilated by a scale factor of 4, that means the figure will be four times bigger.

We can get the coordinates of the dilated ifigure by using the scale factor on each coordinate.

The given figure has coordinates: $A'(-0.5, 0.5)$ , $B'(1.5,0.5)$ , $C'(1.5, -0.5)$ and $D'(-0.5,-0.5)$

So, the dilated coordinates are

$A(-2,2);B(6,2);C(6,-2);D(-2,-2)$

ipn [44]3 years ago

5 0

Answer:

Step-by-step explanation:

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padilas [110]

Answer:

The slope of the line representing the linear function f(x) is determined as $-\frac{1}{2}$ . The function f(x) is decreasing because the slope is less than zero, i.e., m<0.

Step-by-step explanation:

A linear function f(x) is given with two points, (2,3) and (0,4) lying on the line representing f(x).

It is asked to determine the slope of the line and state if the function is increasing or decreasing. of the value of the slope obtained.

Step 1 of 1

Determine the slope of the line.

The points as given in the question are (2,3) and (0,4). Now, the formula for the slope is given as

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

So, substitute $4 \& 3$ for $y_{2}$ and $y_{1}$ respectively, and $0 \& 2$ for $x_{2}$ and $x_{1}$ respectively in the above formula. Then simplify to get the slope as follows, $m=\frac{4-3}{0-2}$\\ $m=\frac{1}{-2}$\\ $m=-\frac{1}{2}$

The slope of the line is obtained as $-\frac{1}{2}$ . Now, as $-\frac{1}{2} < 0$ , so the function f(x) is decreasing.

7 0

2 years ago

The measure of one base angle of an isosceles triangle is 35 degrees. What is the measure of the vertex angle?

Elis [28]

Answer:

110 degrees

Step-by-step explanation:

The measures of the two base angles of an isosceles triangle are the same so 180 - 2(35) = 110 which is the vertex angle.

8 0

3 years ago

Find the product. Write your answer in<br> exponential form.<br> 6^-4•6^-9

Karolina [17]

Answer:

6^-13

Step-by-step explanation:

The rule for multiplying numbers with the same base but different exponents is a^b*a^c=a^(b+c), so in this case we have 6^(-4+(-9)) which is 6^-13

Hope this helped!

6 0

3 years ago

On a coordinate plane, 2 triangles are shown. The first triangle has points M (negative 5, 4), N (negative 2, 3), and L (negativ

worty [1.4K]

Answer:

The rule of the reflection is rx-axis(x, y) → (x, –y) ⇒ 3rd answer

Step-by-step explanation:

Let us revise the reflection on the axes

If point (x , y) reflected across the x-axis , then its image is (x , -y) , the rule of reflection is rx-axis (x , y) → (x , -y)

If point (x , y) reflected across the y-axis , then its image is (-x , y) , the rule of reflection is ry-axis (x , y) → (-x , y)

In Δ LMN

∵ L = (-4 , 2)

∵ M = (-5 , 4)

∵ N = (-2 , 3)

In ΔL'M'N'

∵ L' = (-4 , -2)

∵ M' = (-5 , -4)

∵ N' = (-2 , -3)

The signs of y-coordinates of the vertices of Δ LMN are changed, that means Δ LMN are reflected across the x-axis

∵ The y-coordinate of L is 2 and the y-coordinate of L' is -2

∵ The y-coordinate of M is 4 and the y-coordinate of M' is -4

∵ The y-coordinate of N is 3 and the y-coordinate of N' is -3

∴ Δ LMN is reflected across the x-axis

∴ The image of point (x , y) is (x , -y)

The rule of the reflection is rx-axis(x, y) → (x, –y)

7 1

3 years ago

Read 2 more answers

There are 9 quilts with 18 yards . How many yards would be required for 10

pychu [463]

Hello!

First, you set up a proportion : quilts / yards = 9 / 18 = 10 / x
Then, you solve for x.

x = 20

Hope this helps! If you have any further concerns, feel free to let me know!

8 0

3 years ago