G = 25 - 3 (4)
g = 25 - 12
g = 13
Answer:
A' = (-3, 3)
Step-by-step explanation:
If the points are as follows:
A = (-3, -1)
B = (-2, -3)
C = (1, -1)
When reflecting across a y axis the x values remain the same.
When reflecting across y = 1 the y values will remain equal distant from y = 1.
A' = (-3, 3) y value = |-1 - 1| = 2 + 1 = 3
B' = (-2, 5) y value = |-3 - 1| = 4 + 1 = 5
C' = (1, 3) y value = |-1 - 1| = 2 + 1 = 3
Answer:
$5
Step-by-step explanation:
Answer:
w = 9
x = 12
y = 5
z = 3
Step-by-step explanation:
The corresponding sides of similar polygons are proportional.
Therefore:
![\frac{w}{3} = \frac{x}{4} = \frac{15}{y} = \frac{9}{z} = \frac{6}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bw%7D%7B3%7D%20%3D%20%5Cfrac%7Bx%7D%7B4%7D%20%3D%20%5Cfrac%7B15%7D%7By%7D%20%3D%20%5Cfrac%7B9%7D%7Bz%7D%20%3D%20%5Cfrac%7B6%7D%7B2%7D%20)
Solve for each variable as follows:
✔️![\frac{w}{3} = \frac{6}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bw%7D%7B3%7D%20%3D%20%5Cfrac%7B6%7D%7B2%7D%20)
Multiply both sides by 3
![w = \frac{6}{2} \times 3](https://tex.z-dn.net/?f=%20w%20%3D%20%5Cfrac%7B6%7D%7B2%7D%20%5Ctimes%203%20)
![w = 3 \times 3](https://tex.z-dn.net/?f=%20w%20%3D%203%20%5Ctimes%203%20)
![w = 9](https://tex.z-dn.net/?f=%20w%20%3D%209%20)
✔️![\frac{x}{4} = \frac{6}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B4%7D%20%3D%20%5Cfrac%7B6%7D%7B2%7D%20)
Multiply both sides by 4
![x = \frac{6}{2} \times 4](https://tex.z-dn.net/?f=%20x%20%3D%20%5Cfrac%7B6%7D%7B2%7D%20%5Ctimes%204%20)
![x = 3 \times 4](https://tex.z-dn.net/?f=%20x%20%3D%203%20%5Ctimes%204%20)
![x = 12](https://tex.z-dn.net/?f=%20x%20%3D%2012%20)
✔️![\frac{15}{y} = \frac{6}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B15%7D%7By%7D%20%3D%20%5Cfrac%7B6%7D%7B2%7D%20)
Cross multiply
![y \times 6 = 2 \times 15](https://tex.z-dn.net/?f=%20y%20%5Ctimes%206%20%3D%202%20%5Ctimes%2015%20)
![6y = 30](https://tex.z-dn.net/?f=%206y%20%3D%2030%20)
Divide both sides by 6
![y = 5](https://tex.z-dn.net/?f=%20y%20%3D%205%20)
✔️![\frac{9}{z} = \frac{6}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B9%7D%7Bz%7D%20%3D%20%5Cfrac%7B6%7D%7B2%7D%20)
Cross multiply
![z \times 6 = 2 \times 9](https://tex.z-dn.net/?f=%20z%20%5Ctimes%206%20%3D%202%20%5Ctimes%209%20)
![6z = 18](https://tex.z-dn.net/?f=%206z%20%3D%2018%20)
Divide both sides by 6
![z = 3](https://tex.z-dn.net/?f=%20z%20%3D%203%20)
Answer:
183
Step-by-step explanation:
Evaluate the expression, if x=12, y=8, and z=3 2xy-z3/z
![2xy - \frac{z^3}{z}](https://tex.z-dn.net/?f=2xy%20-%20%5Cfrac%7Bz%5E3%7D%7Bz%7D)
Plug in all the values in the values in the given expression
x=12, y=8, and z=3, Replace all the values
![2xy - \frac{z^3}{z}](https://tex.z-dn.net/?f=2xy%20-%20%5Cfrac%7Bz%5E3%7D%7Bz%7D)
![2(12)(8) - \frac{(3)^3}{3}](https://tex.z-dn.net/?f=2%2812%29%288%29%20-%20%5Cfrac%7B%283%29%5E3%7D%7B3%7D)
![192 - \frac{27}{3}](https://tex.z-dn.net/?f=192%20-%20%5Cfrac%7B27%7D%7B3%7D)
![192 - 9](https://tex.z-dn.net/?f=192%20-%209)
183