Answer:
EG = 19
Step-by-step explanation:
* Lets explain how to solve the problem
- If a line bisects another line that means the point of intersection
divides the second line into two equal parts
∵ EF bisects CD at G
∴ CG = GD
∵ CG = 5x - 1
∵ GD = 7x - 13
∴ 7x - 13 = 5x - 1
* Lets solve the equation
∵ 7x - 13 = 5x - 1
- Subtract 5x from both sides and add 13 to both sides
∴ 7x - 5x = 13 - 1
∴ 2x = 12
- Divide both sides by 2
∴ x = 6
- Point G divides EF into two parts EG and GF
∴ EF = EG + GF
∵ EF = 6x - 4
- Substitute the value of x to find EF
∵ x = 6
∴ EF = 6(6) - 4 = 36 - 4 = 32
∴ EF = 32
∵ GF = 13
- Substitute the values of EF and GF in the equation of EF
∴ 32 = EG + 13
- Subtract 13 from both sides
∴ 19 = EG
* EG = 19
x-intercept is for y = 0
y-intercept is for x = 0
We have x - 3y = -9.
Put y = 0 to the equation:
x - 3(0) = -9
x - 0 = -9
x = -9
Put x = 0 to the equation:
9 - 3y = -9
-3y = -9 <em>divide both sides by (-3)</em>
y = 3
Answer:
<h3>x-intercept (-9, 0); y-intercept (0, 3)</h3>
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>
