The major axis of the eclipse is 12 units long
The given parameters can be represented as:
See attachment for illustration
To solve this question, we make use of the following theorem
The distance between a point and the foci sums up to the major axis
This translates to:
Using a system of equations, it is found that Gina got 22 questions correct in the test.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable x: Number of questions she got correct.
- Variable y: Number of questions she got wrong.
The test has 30 questions, hence:
x + y = 30 -> y = 30 - x.
She scored 152 points, hence, considering the value of each question:
8x - 3y = 152.
Since y = 30 - x:
8x - 3(30 - x) = 152
11x = 242
x = 242/11
x = 22
Gina got 22 questions correct in the test.
More can be learned about a system of equations at brainly.com/question/24342899
#SPJ1
Answer:
(2.8, 0.8)
(0.8, -1.8)
Step-by-step explanation:
1. Home (Xa, Ya)= (8, 6)
San Antonio (Xb, Yb)=(-5, -7)
Xa-Xb=8-(-5)=13
Ya-Yb=6-(-7)=13
Emily starts at 2/5 of the road, make it (Xc, Yc)
Xc= Xa-(Xa-Xb)2/5=8-5.2=2.8
Yc=Ya-(Ya-Yb)2/5=6-5.2=0.8
=> Emily starts at (2.8, 0.8)
2.
Emily ends at 3/5 of the road, , make it (Xd, Yd)
Xd= Xa-(Xa-Xb)3/5=8-7.8=0.8
Yd=Ya-(Ya-Yb)3/5=6-7.8=-1.8
=> Emily ends at (0.8, -1.8)
Answer:
The total the salesperson makes is $64.80.
Explanation:
Since nine percent of $720 is $64.80, that is what the salesperson gets per week if they sell $720 worth of jewelry per week. The amount the store gets is $655.20. Thank you for reading, and please mark Brainliest if you got it right!
Okay, we know that the expenses for the day is 210.
Knowing this, and the price of the taco, we write the inequality:
3.25t > 210
t = number of tacos
Now divide both sides by 3.25:
t > 64.62 (rounded)
Because a taco stand can't sell a fraction of a taco, we know that the taco stand has to sell more than 65 tacos for a profit.
