Find the coordinates of the vertices of the figure after a rotation of 180°.

Mathematics

1 answer:

jonny [76]3 years ago

5 0

Hey there! I'm happy to help!

First, let's see what the coordinates of each of these points are by counting the squares.

Vertex A is at (-3,-4).

Vertex B is at (1,-3).

Vertex C is at (1,1).

Whenever you rotate a figure 180° about the origin, you find the negative version of each number in the ordered pair. Basically (x,y) turns into (-x,-y) when you rotate a figure 180°.

Let's do this below!

A: (-3,-4)⇒(3,4)

B: (1,-3)⇒(-1,3)

C: (1,1)⇒(-1,-1)

These new coordinates match with the third option: A'(3,4), B'(-1,3), C'(-1,-1). Now you can find the coordinates of translated points!

I hope that this helps! Have a wonderful day!

You might be interested in

What does g(n) equal

NikAS [45]

We are given the function:
g(n) = $3 (\frac{7}{5} )^n$

We need to find what g(-3) equals.

What the question is asking is what is the resulting value after you plug in -3 as n to the function. Meaning you replace the n that is in the function with -3.

g(-3) = $3( \frac{7}{5})^{-3}$

Remember back to the order of operations.

Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

For this problem we can keep the fraction as it is (unless you are permitted to use a calculator... if that is the case then just plug all that into a calculator) and keep going to the exponent.

Negative exponents make fractions FLIP. So our fraction will look like this: $(\frac{7}{5})^{-3} = (\frac{5}{7})^{3}$

Now that we have it without the negative exponent we need to distribute the cubed power to each number in the fraction (which is essentially the same as saying this: $\frac{5}{7}* \frac{5}{7}* \frac{5}{7}$ )

$\frac{5^{3}}{7^{3}} = \frac{125}{343}$

We ARE NOT done! We still have this left:
g(-3) = $3 \frac{125}{343}$
Multiplying by 3 you get the following:

$\frac{375}{343}$

So what does g(-3) equal? This right here:

$\frac{375}{343}$

5 0

3 years ago

Elkins Pointe basketball team purchased equipment and uniforms for a total cost of $912. The equipment cost$612 and the uniforms

otez555 [7]

Answer:

Total cost of equipment was $612. The remaining amount was spent on uniforms.

To find out how many uniforms were purchased,

Total cost of uniforms

=$912-$612

=$300

Number of uniforms purchased

300