Answer:
- 21 of multiple choice and 17 of short answer questions
Step-by-step explanation:
- Multiple choice = m
- Short answer = s
<u>Equations:</u>
<u>Solve for s by eliminating m. Subtract the double of the first equation from the second one:</u>
- 2m + 3s - 2(m + s) = 93 - 2(38)
- 3s - 2s = 93 - 76
- s = 17
<u>Find the value of m:</u>
The distance from the center to where the foci are located exists 8 units.
<h3>How to determine the distance from the center?</h3>
The formula associated with the focus of an ellipse exists given as;
c² = a² − b²
Where c exists the distance from the focus to the center.
a exists the distance from the center to a vertex,
the major axis exists 10 units.
b exists the distance from the center to a co-vertex, the minor axis exists 6 units
c² = a² − b²
c² = 10² - 6²
c² = 100 - 36
c² = 64

c = 8
Therefore, the distance from the center to where the foci are located exists 8 units.
To learn more about the Pythagorean theorem here:
brainly.com/question/654982
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They bought 5 trophies total
1st trophy cost $37.50
($18.50+$12.50+$4+$2.50=$37.50)
Each additional trophy cost $15
($12.50+$2.50=$15)
They spent $97.50 total
$97.50-$37.50=$60
Additional trophies $15
$15*X=$60
4 trophies=$60+$37.50 for 1st trophy
$60+$37.50=$97.50
Use the midpoint formula,
(x1+x2/2,y1+y2/2)
(-1-5/2,1-3/2)
(-6/2,-2/2)
(-3,-1)
-0.1 is your answer
__ -0.1_____________
I
-10.3 I 1.03
______I