Volume of a right prism = Area of the base * height
the base is the right triangle.
Area of a right triangle = ab/2
a = 15 inches ; b = 8 inches
Area of a right triangle = (15in * 8in)/2 = 120 in² / 2 = 60 in²
V = B * h
V = 60 in² * 10 in
V = 600 in³ Choice B.
One integer is x
another integer is y
x=8y
xy=288
(8y)(y)=288
8y^2=288
Divide both sides by 8
y^2= 36
The square root of 36 is 6
y=6
x=8y = 8(6) = 48
x=48
Answer:
2(3 + 8k)
Step-by-step explanation:
given : 6+16k
note that the GCF of 6 and 16 is 2, hence we can factor 2 out of the expression
6+16k
= (2)(3) + (2)(8k)
= 2(3 + 8k)
Answer:
we need to prove : for every integer n>1, the number 
is a multiple of 5.
1) check divisibility for n=1, 
(divisible)
2) Assume that 
is divisible by 5, 
3) Induction,
Now, 
Take out the common factor,
(divisible by 5)
add both the sides by f(k)
We have proved that difference between 
and is divisible by 5.
so, our assumption in step 2 is correct.
Since is divisible by 5, then must be divisible by 5 since we are taking the sum of 2 terms that are divisible by 5.
Therefore, for every integer n>1, the number is a multiple of 5.
