Answer:
0
Step-by-step explanation:
Because 2^3 is 8 and if you multiply it by 0 it will just be 0
Answer:frac{7^{15}}{3^{30}}
Step-by-step explanation:
Compute the derivative of <em>y</em> = (<em>x</em>² + <em>x</em> - 2)² using the chain rule:
d<em>y</em>/d<em>x</em> = 2 (<em>x</em>² + <em>x</em> - 2) d/d<em>x</em> [<em>x</em>² + <em>x</em> - 2]
d<em>y</em>/d<em>x</em> = 2 (<em>x</em>² + <em>x</em> - 2) (2<em>x</em> + 1)
Evaluate the derivative at <em>x</em> = -1 :
d<em>y</em>/d<em>x</em> (-1) = 2 ((-1)² + (-1) - 2) (2 (-1) + 1) = 4
This is the slope of the tangent line to the function at (-1, 4).
Use the point-slope formula to get the equation for the tangent line:
<em>y</em> - 4 = 4 (<em>x</em> - (-1)) → <em>y</em> = 4<em>x</em> + 8
Answer:
B.) 9 in.
Step-by-step explanation:
a^2 + b^2 = c^2
a^2 + 12^2 = 15^2
a^2 + 144 = 225
a^2 = 225 - 144
a^2 = 81
√a^2 = √81
a = 9
Answer: m<PQT=60 and m<PQS=4x+14
m<PQS and m<SQT are same
m<PQT = m<PQS + m<SQT = m<PQS + m<PQS = 2m<PQS
m<PQT = 2m<PQS
So m<PQS =
Plug in the given information and solve for x
4x + 14 =
4x + 14 = 30 (subtract 14 on both sides)
4x = 16 (Divide by 4 on both sides)
x = 4
The value of x is 4
