Answer:
x = √5
Step-by-step explanation:
The Pythagorean theorem tells you the square of the diagonal is the sum of the squares of the two sides:
(√7)² = (√2)² + x²
7 = 2 + x² . . . . . . simplify
5 = x² . . . . . . . . . subtract 2
√5 = x . . . . . . . . . take the square root
Answer:
The length of the other piece is 38 inch.
Step-by-step explanation:
Given:
A 190 inch pipe is cut into 2 pieces. One piece is 4 times the length of the other.
Now, to find the length of the other piece.
Let the length of the other piece be
.
And the length of one piece be
.
The total length of the pipe = 
According to question:

⇒
<em>Dividing both sides by 5 we get:</em>
⇒
Therefore, the length of the other piece is 38 inch.
Answer:
Step-by-step explanation:
f(x) = 2x² + x - 3
f'(x) = 4x + 1
f'(x) = 4(-1) + 1 = -3 slope
f(x) = 2(-1)² + (-1) - 3 = -2
(-1, -2)
-2 = -3(-1) + B
B = -5 y intercept
y = -3x - 5
f(x) = 1/x² = x⁻²
f'(x) = -2x⁻³
f'(-2) = -2(-2)⁻³ = -2/-8 = 1/4 slope
y = 1/4x + B
1/4 = 1/4(-2) + B
B = 3/4
y = 1/4x + 3/4