Answer:
C. Student 3
E. Student 5
Step-by-step explanation:
we know that
The formula to calculate the midpoint between two points is equal to

<u><em>Verify the midpoint of each student</em></u>
student 1
we have the endpoints
(-9,0) and (11,-8)
substitute in the formula


so
The midpoint is not (-1,4)
student 2
we have the endpoints
(-6,-1) and (4,-7)
substitute in the formula


so
The midpoint is not (-1,4)
student 3
we have the endpoints
(-5,2) and (3,6)
substitute in the formula


so
<u>The midpoint is equal to (-1,4)</u>
student 4
we have the endpoints
(-3,10) and (5,-2)
substitute in the formula


so
The midpoint is not (-1,4)
student 5
we have the endpoints
(0,-3) and (-2,11)
substitute in the formula


so
<u>The midpoint is equal to (-1,4)</u>
therefore
Student 3 and student 5
Answer:
Q2. Original 100%
New Selling price=100% - 25% = 75% of original
Sale price of bracelet= 75/100 × 44 = $33
Q3. 100%- 25%= 75%
Cost of table= 75/100 × 425= $318.75
Alternatively,
Discount= 25/100 × 425 = $106.25
Cost of table= $425- $106.25= $318.75
Q4. 10 cans ---- $4
1 can= 4÷10 = $0.40
15 cans= $0.40 ×15 = $6
Q5. Total number of children= 35+5= 40
Total people= 10+40 = 50
Thus, the ratio is 40:50= 4:5 (<em>divide by 10</em>)
Answer:
106
Step-by-step explanation:
Substitute x = 3 into f(x) and evaluate , that is
f(3)
= 10(3)² + 6(3) - 2 = 10(9) + 18 - 2 = 90 + 18 - 2 = 106
Answer:
x = 5, y = 2
Step-by-step explanation:
First, isolate y in the top equation.

Next, substitute y in the bottom equation.


Simplify.

Combine like terms.

Isolate x on one side.

Isolate x.

Substitute x into 

Simplify.

Isolate y.

