Simplify:
5(a + 5) + -3 = 3(2 + -1a)
Reorder the terms:
5(5 + a) + -3 = 3(2 + -1a)
(5 * 5 + a * 5) + -3 = 3(2 + -1a)
(25 + 5a) + -3 = 3(2 + -1a)
Reorder the terms again:
25 + -3 + 5a = 3(2 + -1a)
Combine like terms:
]25 + -3 = 22
22 + 5a = 3(2 + -1a)
22 + 5a = (2 * 3 + -1a * 3)
22 + 5a = (6 + -3a)
Solve:
22 + 5a = 6 + -3a
To solve for variable 'a':
You have to move all terms containing A to the left, all other terms to the right.
Then add '3a' to each side of the equation:
22 + 5a + 3a = 6 + -3a + 3a
Combine like terms:
5a + 3a = 8a
22 + 8a = 6 + -3a + 3a
Combine like terms again:
-3a + 3a = 0
22 + 8a = 6 + 0
22 + 8a = 6
Add '-22' to each side of the equation.:
22 + -22 + 8a = 6 + -22
Combine like terms:
22 + -22 = 0
0 + 8a = 6 + -22
8a = 6 + -22
Combine like terms once more:
6 + -22 = -16
8a = -16
Divide each side by '8'.
a = -2
Simplify:
a = -2
Answer: a=-2
Hope I could help! :)
now, b is -3, and a is 3
or in rectangular if you wish, y = -3 and x = 3.... on what quadrant is "y" negative and "x" positive? well, the 4th quadrant
so, using our reference angle, that'd be
so, let's use the first one
![\bf (3,3i)\implies \begin{array}{llll} r[cos(\theta)+i\ sin(\theta)]\\\\ 3\sqrt{2}\left[ cos\left( \frac{7\pi }{4} \right)+i\ sin\left( \frac{7\pi }{4} \right) \right] \end{array}](https://tex.z-dn.net/?f=%5Cbf%20%283%2C3i%29%5Cimplies%20%0A%5Cbegin%7Barray%7D%7Bllll%7D%0Ar%5Bcos%28%5Ctheta%29%2Bi%5C%20sin%28%5Ctheta%29%5D%5C%5C%5C%5C%0A3%5Csqrt%7B2%7D%5Cleft%5B%20cos%5Cleft%28%20%5Cfrac%7B7%5Cpi%20%7D%7B4%7D%20%5Cright%29%2Bi%5C%20sin%5Cleft%28%20%5Cfrac%7B7%5Cpi%20%7D%7B4%7D%20%5Cright%29%20%5Cright%5D%0A%5Cend%7Barray%7D)
Answer:
6x^2 y^3 is the answer
Step-by-step explanation:
Multiply everything given
<span>P (0, 0) across x = -3 will change the x value. From 0 to -3 which is 3 units down, so the reflection will be another 3 units down ( points are the same distance from the reflection line) so the new x-value is -6 now just do the same thing for the y-value and you will get an image of P¹ ( -6, -6 ) </span>
Answer:
Step-by-step explanation:
The inverse of a function, is the function or rule formed by reflecting the line over y=x. This means essentially that all (x,y) values from the original function switch to (y,x).
(x,y)--->(y,x) in the new function.
If the function has points (-3,4) and (5,-2) then the inverse has points (4,-3) and (-2, 5).
We can find the equation of the inverse by switching x and y in the equation and solving for y.
This means that 
becomes 
. We now solve for y through inverse operations.
