Answer: 
Step-by-step explanation:
Slope of two lines that are perpendicular to each other is 1.
If one line is 
, then its slope = 3 [by comparing to the linear equation y= mx+c, here m=3]
Let n be the slope of the required line, then
Equation of line with slope n and passers through (a,b) is
Equation of line with slope n= 
and passes through point ( 0,-4) :
Hence, Required equation :
Answer: 4x² + 4x - 2 - 
<u>Step-by-step explanation:</u>
You can use either synthetic or long division. I am using synthetic division:
2x + 3 = 0 ⇒ x = 
| 4 10 4 -6
<u>| ↓ -6 -6 3 </u>
4 4 -2 -3 ← <em>-3 is the remainder</em>
↓ ↓ ↓
4x² +4x -2 ← <em>factored polynomial</em>
X^2 +3x-4=0
(X+4)(x-1)=0 so x = -4 and x=1 are solutions
1. D. 4 x 4 x 4 x 4 x 4
2. B. 6³ (6 x 6 x 6 = 216)
3. D. (8², 100^1, 11², 5³)
4. D. Sum (There's No addition anywhere in that equation)
5. C. h (Because there's no number before the h²)
6. C. 24
7. C. Raise 9 to the 2nd power (Follow PEMDAS, after doing the parentheses, you need to do the exponents, and C. you need to the exponents)
8. A. 4xy
9. C. 18 (I followed PEMDAS, and received the answer 18)
10. B. 49
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<em>I hope this helps, and Happy Holidays! :)</em>
The answer is 20x^18 which is the last option.
