A2 +b2 = c2 are the steps to find your answer
-2(8p+2)-3(2-7p)-2(4+2p)=0
mutiply the first bracket by -2
(-2)(8p)= -16p
(-2)(+2)= -4
mutiply the second bracket by -3
(-3)(2)= -6
(-3)(-7p)= 21p
mutiply the third bracket by -2
(-2)(4)= -8
(-2)(+2p)= -4p
-16p-4-6+21p-8-4p= 0
-16p+21p-4p-4-6-8= 0 ( combine like terms)
5p-4p-4-6-8= 0
p-4-6-8= 0
p-10-8= 0
p-18= 0
move -18 to the other side to get p by itself
sign changes from -18 to +18
p-18+18= 0+18
p= 0+18
Answer: p= 18
The graph is translates down 135 units, because you can see how the y-intercept decreased by 135 units from f(x) to g(x).
The artistic crop isn't helpful; it cuts off some vertex names.
The circumcenter H is the meet of the perpendicular bisectors of the sides, helpfully drawn. We have right triangle ELH, right angle L, so
EH² = HL² + EL²
EL = √(EH² - HL²) = √(5.06²-2.74²) ≈ 4.2539393507665339
Since HL is a perpendicular bisector of EF, we get congruent segments FL=EL.
Answer: 4.25
X/y=9
x+y=55
x=-y+55
-y+55/y=9
-y+55=9y
-10y=-55
y=5.5
x=49.5
