Step-by-step explanation:
the area of a triangle is
baseline × height / 2
in our case
baseline × 5 / 2 = 20 in²
baseline × 5 = 40
baseline = 8 in
8) factor 6+17g+10g^2
10g^2+17g+6
(5g+6)(2g+1)
C is the answer.
9) which one is a perfect square?
4x^2-14x+49 doesn't factor
4x^2-28x+49=(2x-7)(2x-7)
x^2-x+1 doesn't factor
x^2-2x+2 doesn't factor
B is the answer.
11) factor y^2-2y-48
(y+6)(y-8)
D is the answer
12) for the last one you can multiply the answers out of factor.
Sorry this took forever. It's hard to use the website cuz I'm used to the app.
Best wishes!
If the cubes are rolled independently, and assuming any face on the cube is as likely to occur as any other, then there is a 1/6 probability of rolling a 6, and rolling a 6 on both simultaneously is 1/6 * 1/6 = 1/36.
2(p+1)=24
divide both sides by two
p+1=12
subtract 1 from both sides
p=11