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Law Incorporation [45]
3 years ago
12

a caterpillar stated at point(-2.5 -5.5) on a coordinate plane.She crawled in a straight line through the origin to point (45,y)

What is y-axis of this?
Mathematics
1 answer:
iren [92.7K]3 years ago
3 0

Answer:

99

Step-by-step explanation:

Since the caterpillar crawled through the origin, her movement can be described by a straight line equation modeled with the points (-2.5; -5.5) and (0; 0).

The slope of a linear equation is given by:

m=\frac{y-y_0}{x-x_0}\\m=\frac{-5.5-0}{-2.5-0}\\m=2.2

For x = 45, the value of y is:

y= 2.2x\\y= 2.2*45\\y=99

The value of the y-axis is 99.

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Greg the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the ot
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This problem can be solved by algebraic method.
Let
x = the total time spent of all clients in Plan A
y = the total time spent of all clients in Plan B
We represent two variables x and y because there are two plans that won't be happened simultaneously.
On Wednesday, the two workout plans have the total time of 6 hours. We equate
3x + 5y = 6
While on Thursday, the total time is 12 hours. We also equate
9x + 7y = 12

To find x and y, we can use the substitution method. For the first equation, we arrange it in terms of y, that is
5y = 6 - 3x
y = (6 - 3x)/5

Substitute it to the second equation:
9x + (7/5)(6 - 3x) = 12
9x + (42/5) - (21/5)x = 12
Multiply the equation by 5 to cancel the denominator:
45x + 42 - 21x = 60
45x - 21x = 60 - 42
24x = 18
x = 18/24 = 3/4 hours

For y:
3(3/4) + 5y = 6
9/4 + 5y = 6
Multiply the equation by 4 to cancel the denominator:
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20y = 24 - 9
20y = 15
y = 15/20 = 3/4 hours

Hence, each workout plans are done within 3/4 hours (or 45 minutes).
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