Answer:
LP = 15
Step-by-step explanation:
LM = LP ( isosceles triangle sides will be equal )
10x - 5 = 7x + 1
Transpose to find the value of x
10x -7x = 1 + 5
3x = 6
x = 6/3
x = 2
now put 2 instead of x
10x - 5
10 (2) - 5
20 - 5
15
LP = 15
Answer:
45
Step-by-step explanation:
Hope this helps!
Answer:
<h3>
vertex = (h, k) = (5, -9)</h3>
Step-by-step explanation:
![f(x) = (x-8)(x-2)\quad\implies\quad x_1=8\,,\ \ x_2=2\\\\ h=\dfrac{x_1+x_2}2=\dfrac{8+2}2=5\\\\k=f(h)=(5-8)(5-2)=-3\cdot3=-9](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%28x-8%29%28x-2%29%5Cquad%5Cimplies%5Cquad%20x_1%3D8%5C%2C%2C%5C%20%5C%20x_2%3D2%5C%5C%5C%5C%20h%3D%5Cdfrac%7Bx_1%2Bx_2%7D2%3D%5Cdfrac%7B8%2B2%7D2%3D5%5C%5C%5C%5Ck%3Df%28h%29%3D%285-8%29%285-2%29%3D-3%5Ccdot3%3D-9)
Normally we would solve the parentheses, but nothing can be simplified. We then need to distribute the 2 into (6x-1). We then get -17 + 12x -2 +5. Now we can combined like terms. -17 - 2 +5 +12x = 12x -14.