Answer:
65
Step-by-step explanation:
right angle triangle so:
a=??, b=72 and c=97
a^2+b^2=c^2
a=√c^2-b^2
a=√97^2-72^2 =65
Answer:
42
Step-by-step explanation:
We know that 10x + 6y = 7, and so
6(10x + 6y) = 6(7) = 42
The extraneous solution of startroot 4 x 41 endroot = x 5 will be A. -8.
<h3>What is an extraneous solution?</h3>
It should be noted that an extraneous solution simply means a root of a transformed equation which isn't part of the original equation.
✓4x + 41 = x + 5
Square both sides
4x + 41 = x² + 10x + 25
x² + 6x - 16
x(x + 8) - 2(x + 8) = 0
x + 8 = 0
x= 0 + 8 = 8
Learn more about extraneous solution on:
brainly.com/question/295656
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The answer is (b² + 5b + 4).
The volume of a rectangular prism (V) is:
V = l · w · h (l - length, w - width, h - height)
The base of the rectangular prism is the product of length and width, so the area of the base is:
A = l · w
Since V = l · w · h and A = l · w, then:
V = A · h
It is given:
V = b³ + 8b² + 19b + 12
h = b + 3
⇒ b³ + 8b² + 19b + 12 = A · (b + 3)
⇒ A = (b³ + 8b² + 19b + 12) ÷ (b + 3)
Now, we have to present the volume as multiplication of factors. One of the factors is b+3. So:
b³ + 8b² + 19b + 12 = (b · b² + 3b²) + (5b² + 15b) + (4b + 3·4) =
= b²(b + 3) + 5b(b + 3) + 4(b + 3) =
= (b + 3)(b² + 5b + 4)
A = (b³ + 8b² + 19b + 12) ÷ (b + 3) = (b + 3)(b² + 5b + 4) ÷ (b + 3)
(b + 3) can be cancelled out:
A = (b² + 5b + 4)
