The original line is
4x - 2y = -12
The parallel lines will all be
4x - 2y = constant
and the constant is given by the point directly:
4x - 2y = 4(4) - 2(-4) = 24
2y = 4x - 24
y = 2x - 12
Answer: y = 2x - 12
Answer:
5min
Step-by-step explanation:
First form yourself an equation, 113.2-10.8x ≤70
Now begin to work it out
*113.2-10.8(1) ≤70 (instead of x, put a number, this will be how many minutes
1~ 102.4 is not less than or equal to 70, so we repeat this process
2~ 91.9
3~81.1
4~70.3 this is not the answer because even though its at 70 there is still a .3 so we keep going,
5~59.5
59.5 is ≤ 70, so the answer is 5 minutes
P.S. don't believe me? that's okay, use the formula, plug in five to see for yourself
i hope this helps ;)
easy claps!!
Answer: 30=2x+4 and there are 17 girls in the class.
Step-by-step explanation: if x+4=[total girls] and x=[total boys] and 30=[total kids], then x+4+x = 2x+4 = [total kids], since total kids id 30 then our equation is 30 = 2x + 4 and x= 13boys so 30-13= 17girls.
It's BASIC prealgebra so you should probably practice bit more with linear equations!
Use the Difference of Two Squares Formula, 
If x² = 4x², then x = √4x², x = 2x
If y² = 49, then y = √49, y = 7
We know both x and y, straight to formula.
Therefore, the factored form of 4x²-49 is (2x+7)(2x-7)
Multiply each side of the given equation by <span>ax−2</span> (so you can get rid of the fraction). When you multiply each side by ax−2, you should have:
<span><span><span><span>24 x ^2 </span>+ 25x </span>− 47 </span>= <span><span><span>(<span><span>−8x</span>−3</span>)</span><span>(<span>ax−2</span>)</span></span>−53</span></span>
You should then multiply <span>(<span><span>−8x</span>−3</span>)</span> and <span>(<span>ax−2</span>)</span> using FOIL.
<span><span><span><span>24 x ^2 </span>+ 25x </span>− 47</span>= <span><span><span><span><span>−<span>8ax^2 </span></span>− <span>3ax </span></span>+ 16x </span>+ 6 </span>− 53</span></span>
Then, reduce on the right side of the equation
<span><span><span><span>24 x ^2 </span>+ 25x </span>− 47</span>= (<span><span>−<span>8x </span></span>− <span>3(ax - 2) - 53</span></span></span>
Since the coefficients of the x^2-term have to be equal on both sides of the equation, <span><span>−8a</span>=24</span>, or <span>a=−3</span>.
Your answer would be <span>
B</span>
