Answer:
Step-by-step explanation:
its a
The distance formula is given by

Take point A(0, -7) as (x₁, x₂) and point B(8, 8) as (y₁, y₂)
Distance AB =

Distance AB =

Distance AB =

Distance AB = 17
The line AB is dilated to A'B' by scale factor of 2, it means the length of the line is multiplied by 2
Distance A'B' = 2 × 17 = 34 units
Answer:
12.5x+10
Step-by-step explanation:
I'm assuming that you want to simplify this, because there is no equal sign.
If you want to simplify, first combine like terms.
First solve the first half of the equation: 20x-7.5x=12.5x
Now solve the second half of the equation: 12-2=10, so we have 12.5x+10.
That's your answer: 12.5x+10
<u>Answer:</u>
x = 2.68, x = -0.186
<u>Step-by-step explanation:</u>
We are given the following equation that we are to solve:

Rearranging this quadratic equation to get:

Solving it by using the quadratic formula as we cannot find any factors for it.



, 
x = 2.68, x = -0.186
Answer:
The approximation by Taylor series of f'(3) is 9.5000.
Step-by-step explanation:
Taking the two first terms for Taylor series gives the following expression:

Where e represents the error of the approximation and in this case is of second order. For this particular example, it is no required to calculate.
Note that in the equation x is the independent variable, in contrast, xo is the value where all the derivatives of the function are calculated and must be defined. Observe that the value for the first derivative in x equal 3 is wanted to know, so xo will be equal 3.
Now to find f'(3) will use the rest of the information that was given:
f(5)=28 (x=5)
Replacing the previous values in the Taylor expansion:


Solving the equation:



There was no rounding in the calculated value.