What is the value of the function at x=-3

Mathematics

1 answer:

Elena L [17]4 years ago

5 0

When x = -3 f(x) = 4

answer
4

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A line segment has endpoints at 3,2 and 2,-3 which reflection will produce an image with endpoints at 3,-2 and 2,3

xenn [34]

Answer:

The reflection is across the x-axis

Step-by-step explanation:

* Lets revise the reflection

- If point (x , y) reflected across the x-axis

∴ Its image is (x , -y)

- If point (x , y) reflected across the y-axis

∴ Its image is (-x , y)

- If point (x , y) reflected across the line y = x

∴ Its image is (y , x)

- If point (x , y) reflected across the line y = -x

∴ Its image is (-y , -x)

* Now lets solve the problem

∵ The endpoints of a line segment are (3 , 2) and (2 , -3)

∵ The image of the endpoints after the reflection are (3 , -2) and (2 , 3)

* Lets study the change

# The x-coordinates of the points are 3 and 2

# The x-coordinates of the images are 3 and 2

# The y-coordinates of the points are 2 and -3

# The y-coordinates of the images are -2 and 3

- The change is in the signs of the y-coordinates

∴ The reflection is across the x-axis

5 0

3 years ago

Answer part 1 and part 2 please I need help

7nadin3 [17]

Step-by-step explanation:

<u>Step 1: Answer the first question</u>

Area of a triangle → $A = \frac{b*h}{2}$

$\frac{4*6}{2}$

$\frac{24}{2}$

$12$

Total Area → $12 * 2=24$

Answer: Option D, $24\ square\ units$

<u>Step 2: Answer the second question</u>

We know that the total side length is 12 but we also know that the triangle base is 4 so we would subtract that from the total length and we get that the rectangle length is 8. We also know that the width is 6 so we multiply 8 by 6 and we add 24. This matches option B

Answer: Option B, $(8 * 6 + 24)\ square\ units$