Answer:
(6,9)
Step-by-step explanation:
the x place is counting by 2 and the y place is going up by 3
-3/2 is the factor would multiply the second equation to eliminate y.
The correct option is (C).
<h3>What is factor?</h3>
A number or algebraic expression that divides another number or expression evenly—i.e., with no remainder.
Given equation is :
9x+3/4 y =6
2x+1/2 y =9
If we have to eliminate the y variable so we have to multiply it by factor -3/2
Then the second equation become
-3/2(2x+1/2 y =9)
-3x- 3/4 y =- 27/2
As we can see the y variable of both the equation is same.
Hence, -3/2 is the factor would multiply the second equation to eliminate y.
learn more about this concept here:
brainly.com/question/24182713
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Answer:
Step-by-step explanation:
radius of semicircle = 5
area of semicircle = πr² = 25π
area of rectangle = 10×14 = 140
total area = 140 + 25π ≅ 218.54 square units
Answer:
The answer to your question is: h = 14.5 in
Step-by-step explanation:
Data
radius = 5 in
Volume = 725 π in³
height = ?
Formula
Volume = 2πr²h
Substitution
725 π in³ = 2πr² h
h = 725π / 2πr²
h = 725 / 2(5)²
h = 725 / 50
h = 14.5 in
Answer:
600 m³
Step-by-step explanation:
Given:
- length of swimming pool = 30 m
- width of swimming pool = 10 m
- depth at deep end = 3 m
- depth at shallow end = 1 m
To find the volume of the water in the pool, find the area of a cross section (see attached image) and multiply it by the width of the pool.
<u>Area of cross section</u>
= area of rectangle - area of triangle
= (3 × 30) - [1/2 × 30 × (3 - 1)]
= 90 - 30
= 60 m²
<u>Volume of pool</u>
= area of cross section × width
= 60 × 10
= 600 m³
