Answer:
Step-by-step explanation:
7) 2ab + 4ac = 2*a*b + 2 *2 *a*c
= 2a(b + 2c)
8) ac - a²c² = c( a - a²c)
bc - abc = c(b - ab)
9) b²+ 4b - 5 = b² + 5b - 1b - 5
= b(b + 5) - 1(b + 5)
= (b +5)(b - 1)
b² + 8b + 15 = b² + 5b + 3b + 15
= b(b + 5) + 3(b + 5)
= (b + 5 )(b + 3)
Answer:
Step-by-step explanation:
Note that the entire segment RT is the combined lengths of RS and ST. So:
We know that RT is 108, RS is (9y+5), and ST is (3y+7). Substitute:
On the right, combine like terms:
Add:
Subtract 12 from both sides. The right cancels:
Divide both sides by 12:
So, the value of y is 8.
To find RS and ST, substitute 8 for y. So:
Substitute 8 for y:
Multiply:
Add:
Do the same for ST:
Substitute 8 for y:
Multiply:
Add: