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Elza [17]
3 years ago
7

What is the slope of a line that is perpendicular to the liney=−4/5x + 7

Mathematics
1 answer:
Julli [10]3 years ago
8 0

Answer:Thats Just Notes To Right Down.

Step-by-step explanation:

The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is 45 4 5 . The equation of a perpendicular line to y=4x5+7 y = 4 x 5 + 7 must have a slope that is the negative reciprocal of the original slope.

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Answer:

Jim's hose: 27 hours.

Bob's hose: 21.6 hours.

Step-by-step explanation:

Let t represent hours taken by Jim's hose.

Part of pool filled by Jim's hose in 1 hour would be \frac{1}{t}.

We have been given that Bob's hose, used alone, takes 20% less time than Jim's hose alone. This means that Bob's hose take will take 80% time of Jim's hose that is 0.8t.

Part of pool filled by Bob's hose in 1 hour would be \frac{1}{0.8t}.

We are also told that it takes 12 hours using both hoses. Part of pool filled by both hoses in 1 hour would be \frac{1}{12}.

Now, we will add rates of both hoses and equate with \frac{1}{12} as:

\frac{1}{t}+\frac{1}{0.8t}=\frac{1}{12}

\frac{0.8}{0.8t}+\frac{1}{0.8t}=\frac{1}{12}

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\frac{1.8}{0.8t}=\frac{1}{12}

Cross multiply:

0.8t*1=1.8(12)

0.8t=21.6

\frac{0.8t}{0.8}=\frac{21.6}{0.8}

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Therefore, it will take 27 hours for Jim's hose to fill the pool alone.

Time take by Jim's hose alone: 0.8t\Rightarrow 0.8(27)=21.6.

Therefore, it will take 21.6 hours for Bob's hose to fill the pool alone.

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Step-by-step explanation:

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Step-by-step explanation:

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