Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
We will be using simultaneous equations to solve this problem.
First we will establish the equations which we will be using as displayed below:
Equation No. 1 -
A + B = 90°
Equation No. 1 -
A = 2B + 12
To begin with, let's make ( A ) the subject in the first equation as displayed below:
Equation No. 1 -
A + B = 90
A = 90 - B
Next we will substitute the value of ( A ) from the first equation into the second equation and solve for ( B ) as displayed below:
Equation No. 2 -
A = 2B + 12
( 90 - B ) = 2B + 12
- B - 2B = 12 - 90
- 3B = - 78
B = - 78 / - 3
B = 26°
Then we will substitute the value of ( B ) from the second equation into the first equation to solve for ( A ) as displayed below:
A = 90 - B
A = 90 - ( 26 )
A = 64°
ANSWER:
Therefore, the answer is:
A = 64°
B = 26°
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Use Pythagorean theorem:
9i-j = sqrt (9^2 - 1^2) = sqrt(81-1) = sqrt80
now divide both terms in V by that:
u = 9/sqrt(80)i - 1/sqrt(80)j
see attached picture:
Answer:
Vertex is (-8, 4) not one of the answers offered!
Step-by-step explanation:
Factor -1/8 out of the first two terms. Leave a space inside parentheses in which to add a number.

Complete the square by squaring half the coefficient of <em>x </em>and adding it in the space.

Add 64 in the space you made, then compensate for that at the end of the expression by <u>subtracting</u> 

The x-coordinate of the vertex is the <u>opposite</u> of +8, the number inside the parentheses. The y-coordinate of the vertex is the number at the end of the expression.
V(-8, 4)