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rusak2 [61]
3 years ago
13

Dylan works out and burns 10 calories per minute swimming and 7 calories per minute biking. He wants to burn a minimum of 600 ca

lories. Due to daylight limitations, the time Dylan spends swimming must be no less than twice the time he spends biking.

Mathematics
1 answer:
Alexxandr [17]3 years ago
5 0

Answer:

The solution in the attached figure

Step-by-step explanation:

Let

x -----> the time Dylan spends swimming

y -----> the time Dylan spends biking

we know that

10x+7y \geq 600 -----> inequality A

x \geq 2y -----> inequality B

Solve the system by graphing

The solution is the shaded area

see the attached figure

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kifflom [539]

Answer:

See explanation.

Step-by-step explanation:

2) Your written answer is correct, y = x +4

3) Slope of perpendicular line: 5/2

y=mx+b

4 = (5/2)(4) + b

4 = 10 + b

b = -6

So, y=(5/2)x - 6

4) Slope of perpendicular line: 1

y=mx+b

5 = (1)(4) + b

5 = 4 + b

b = 1

So, y = x + 1

7) Slope of perpendicular line: 3/4

y=mx+b

4 = (3/4)(4) + b

4 = 3 + b

b = 1

So, y = (3/4)x + 1

8) Slope of perpendicular line: 1/4

y=mx+b

-2 = (1/4)(0) + b

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So, y = (1/4)x - 2

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3 years ago
What is an equation of the line that passes through the points (0, 3) and (5,-3)?
Arisa [49]

Answer:

The equation of the line that passes through the points (0, 3) and (5, -3) is y = -\frac{6}{5}\cdot x +3.

Step-by-step explanation:

From Analytical Geometry we must remember that a line can be formed after knowing two distinct points on Cartesian plane. The equation of the line is described below:

y = m\cdot x + b (Eq. 1)

Where:

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

m - Slope, dimensionless.

b - y-Intercept, dimensionless.

If we know that (x_{1},y_{1}) = (0,3) and (x_{2},y_{2})=(5,-3), the following system of linear equations is constructed:

b = 3 (Eq. 2)

5\cdot m + b = -3 (Eq. 3)

The solution of the system is: b = 3, m = -\frac{6}{5}. Hence, we get that equation of the line that passes through the points (0, 3) and (5, -3) is y = -\frac{6}{5}\cdot x +3.

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Answer:

P: 32

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Step-by-step explanation:

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4*(4*3)=48

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Answer:

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Step-by-step explanation:

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