Paul: 140 + 12x
Jacklyn: 56 + 16x
Where x is how many practice sessions he had this season
"After how many more practices will Paul and Jacklyn have completed the same number of laps?"
This means what will x be if both equations are equal to each other
140 + 12x = 56 + 16x
Isolate x in one side by subtracting both sides by 12x
140 + 12x - 12x = 56 + 16x - 12x
140 = 56 + 4x
Subtract both sides by 56 to shift the 56 from the right side to the left side
140 - 56 = 56 - 56 + 4x
84 = 4x
Divide both sides by 4 to isolate x
84/4 = 4/4x
21 = x
x = 21
They'll have completed the same number of laps after 21 practices
Hope it helps :)
Branliest would be appreciated
X= -8+2 Divided By -9 + Y
Answer:
X = 4
Step-by-step explanation:
Add x to both sides
6x = 24
Divide by 6 in both sides
x = 4
Answer:
<h3>r = -13</h3>
Step-by-step explanation:
The formula of a slope:
We have the slope m = 2/3 and the points (-4, 3) and (r, -3). Substitute:
<em>cross multiply</em>
<em>divdide both sides by 2</em>
<em>subtract 4 from both sides</em>
Answer:
C. (8.5, 14.72)
Step-by-step explanation:
You can translate the coordinates using ...
(x, y) = (r·cos(θ), r·sin(θ))
Filling in the given polar coordinates, (r, θ) = (17, 60°), we have ...
(x, y) = (17·cos(60°), 17·sin(60°)
(x, y) = (8.5, 14.72)
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If you sketch the vector, you realize that the short side of the triangle (the x-coordinate) is half the length of the hypotenuse (17). This is because you recognize the side-length relationships in a 30°-60°-90° triangle. Only one answer choice shows that value.
