Answer:
A' (11, 4), B' (-10, -6), C' (7, -9)
Step-by-step explanation:
Since you are reflecting over the y-axis, you take the opposite of the x value. So if the x is positive, make it negative. If the x is negative, make it positive. The y coordinate stays the same.
Answer:
The last choice.
Step-by-step explanation:
![\dfrac{k^2-k-2}{k^2-4k-5}=\dfrac{(k+1)(k-2)}{(k+1)(k-5)}=\dfrac{k-2}{k-5}](https://tex.z-dn.net/?f=%5Cdfrac%7Bk%5E2-k-2%7D%7Bk%5E2-4k-5%7D%3D%5Cdfrac%7B%28k%2B1%29%28k-2%29%7D%7B%28k%2B1%29%28k-5%29%7D%3D%5Cdfrac%7Bk-2%7D%7Bk-5%7D)
The value of k must be restricted from being one that makes the original denominator zero. Hence k ≠ -1 or 5.
Answer:
![\frac{1}{15} x](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B15%7D%20x)
Step-by-step explanation:
![\frac{7x}{20} - \frac{5x}{12}](https://tex.z-dn.net/?f=%20%5Cfrac%7B7x%7D%7B20%7D%20%20-%20%20%5Cfrac%7B5x%7D%7B12%7D%20)
![\frac{3 \times 7x}{3 \times 20} - \frac{5 \times 5x}{5 \times 12}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%20%5Ctimes%207x%7D%7B3%20%5Ctimes%2020%7D%20%20-%20%20%5Cfrac%7B5%20%5Ctimes%205x%7D%7B5%20%5Ctimes%2012%7D%20)
![\frac{21x}{60} - \frac{25x}{60}](https://tex.z-dn.net/?f=%20%5Cfrac%7B21x%7D%7B60%7D%20%20-%20%20%5Cfrac%7B25x%7D%7B60%7D%20)
![\frac{21x - 25x}{60} = (21 - 25)x = - 4x](https://tex.z-dn.net/?f=%20%5Cfrac%7B21x%20-%2025x%7D%7B60%7D%20%20%3D%20%2821%20-%2025%29x%20%3D%20%20-%204x)
![\frac{ - 4x}{60} = - \frac{ x}{15}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20-%204x%7D%7B60%7D%20%20%3D%20%20-%20%20%5Cfrac%7B%20x%7D%7B15%7D%20)
![\boxed{\green{= \frac{1}{15} x}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cgreen%7B%3D%20%20%5Cfrac%7B1%7D%7B15%7D%20x%7D%7D)
<u>A straight line is 180 degrees in measure</u>
<u>The straight line is made up of three angles</u>
--> angle 1
--> angle 2
--> angle with a little square on it
(<em>angle with a little square means it is 90 degrees in measure)</em>
<u>Let's set up an equation</u>
![angle1 + angle2 + 90 = 180\\angle1 + 87 + 90 = 180\\angle1 = 3](https://tex.z-dn.net/?f=angle1%20%2B%20angle2%20%2B%2090%20%3D%20180%5C%5Cangle1%20%2B%2087%20%2B%2090%20%3D%20180%5C%5Cangle1%20%3D%203)
Thus angle 1 is <u>3 degrees</u> or the <u>second choice</u>
<u></u>
Hope that helps!
Answer:
x = 2√2
Step-by-step explanation:
This is a 45-45-90 triangle. This means that if the legs are x, then the hypotenuse is x√2.
In the case, the hypotenuse is already 4. So we have the equation:
x√2 = 4
Multiply both sides by √2
2x = 4√2
Divide both sides by 2
x = 2√2