<u>Answer:</u>
○ 
<u>Step-by-step explanation:</u>
Given the equation:
,
to solve for 
, we have to rearrange the equation to make its subject.
⇒ 
[expand brackets]
⇒ 
⇒ 
[add 
to both sides]
⇒ 
⇒ 
[subtract 96 from both sides]
⇒ 
⇒ 
[divide both sides by 20]
⇒ 
U . v = |u| . |v| cos 60 = 10 * 8 * 0.5 = 40 This is called the scalar (or dot) product.
The answer is "quadrant II" because first u go five left because of the negative five which is on the x axis then go up 10 because of the positive 10 which on the y axis
Answer:
Step-by-step explanation:
The general equation of a circle is , x² + y² + 2gx + 2fy + c = 0
Substituting the three points we get the following equations,
2g +14f +c=-50
14g - 2f + c =-50
16g +12f + c = -100
Solving these equations we get,
g =-4, f = -3, c = 0
Hence general equation of circle is,
x² + y² - 8x - 6y = 0
Answer:she will have $25 left .
Step-by-step explanation:
0.25(60) = 15
$40 - $15 = $ 25
