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2 years ago

Find the equatio of the line tht contains the point (5,6) and is perpendicualr to the line 4x+2y=2

1 answer:

3 0

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Find Slope
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4x + 2y = 2
2y= -4x + 2
y = -4/2 x + 2
y = -2x + 2

Slope = -2
Perpendicular slope = 1/2

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Insert slope into the general equation y = mx + c
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y = 1/2x + c

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Find y-intercept
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y = 1/2x + c
at (5,6)
6 = 1/2 (5) + c
6 = 5/2 + c
c = 6 - 5/2
c = 7/2

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Insert y-intercept into y = 1/2 x + c
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y = 1/2 x + 7/2
2y = x + 7

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Answer: 2y = x + 7
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Dairy farmers are aware there is often a linear relationship between the age, in years, of a dairy cow and the amount of milk pr

Jobisdone [24]

Answer:

B. A cow of 5 years is predicted to produce 5.5 more gallons per week.

Step-by-step explanation:

Let $M(a) = 40.8-1.1\cdot a$ , where $a$ is the age of the dairy cow, measured in years, and $M(a)$ is the predicted milk production, measured in gallons per week.

Besides, we consider $a_{1}$ and $a_{2}$ , such that $a_{1}\ne a_{2}$ , we define the difference between predicted milk productions ( $\Delta M$ ) below:

$\Delta M = -1.1\cdot (a_{2}-a_{1})$ (1)

If we know that $a_{1} = 5\,yr$ and $a_{2} = 10\,yr$ , then the difference between predicted milk productions is:

$\Delta M = -1.1\cdot (10-5)$

$\Delta M = -5.5\,\frac{gal}{week}$

That is, a cow of 5 years is predicted to produce 5.5 more gallons per week than a cow of 10 years. Hence, the right answer is B.

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2 years ago

5 positive integers are arranged in ascending order, as follows:

Helga [31]

The answer is: 10.

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72 is 45% of what number? Please give me a explanation with the answer asap

Juliette [100K]

Answer:

160

Step-by-step explanation:

72/45 = 1.6

1.6 * 45 = 72

Background information

160/100 = 1.6 (100 for percents)

160 fits the answer so it is right

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