Answer:
y = 32
Step-by-step explanation:
Given y is directly proportional to x² then the equation relating them is
y = kx² ← k is the constant of proportion
To find k use the condition when x = 3, y = 4.5 , then
4.5 = k × 3² = 9k ( divide both sides by 9 )
0.5 = k
y = 0.5x² ← equation of proportion
When x = 8 , then
y = 0.5 × 8² = 0.5 × 64 = 32
Answer:
B... Because indicates the direction of gravity because its direction is downward
Answer:
1. Paul has mixed up the translation of the ordered pair.
New location: (1, 5)
2. Option C : E = (3, 2) F = (8, 4) G = (5, 7)
Step-by-step explanation:
An ordered pair is a pair of numbers, (x,y) , written in a particular order.
It is often used to represent a point on a coordinate plane.
1. From inspection of the diagram, the market is located at (3, 8)
Paul's mistake is that he has mixed up the translation of the ordered pair. He has moved the market 3 to the left and 2 units down instead of the required 2 to the left and 3 units down.
The correct ordered pair for the new location of the market is (1, 5)
2. For each coordinate point (x, y), the first number is the x-coordinate (along the x-axis) and the second number is the y-coordinate (along the y-axis).
E = (3, 2)
F = (8, 4)
G = (5, 7)
Answer:
a is true
Step-by-step explanation:
the y intercept of function a is -2 while on b it is -5
Answer:
11.33 or 34/3
Step-by-step explanation:
6x+23+9x−13=180
Step 1: Simplify both sides of the equation.
6x+23+9x−13=180
6x+23+9x+−13=180
(6x+9x)+(23+−13)=180
15x+10=180
15x+10=180
15x+10−10=180−10
15x=170
15x
15
=
170
15
x=
34
3