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3 years ago

what is the equation of the line that is perpendicular to 5x+6y=16 and passes through the point (-5,7)?

Mathematics

1 answer:

Lapatulllka [165]3 years ago

6 0

Answer:

y=6/5x+13

Step-by-step explanation:

6y=-5x+16

Divide by 6

y=-5/6x + 8/3

Slope: 6/5 (opposite reciprocal)

7=-5(6/5)+b

7=-6+b

b=13

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horrorfan [7]

Answer:

$\frac{1}{4}+\frac{m}{2} \leq x\leq 2$

$x$ denotes amount of food that Felicity's dog eats

Step-by-step explanation:

Given:

Felicity's dog eats no more than two cups of dog food per day.

Felicity's dog eats at least one-quarter cup more than one-half of the amount Martin's dog eats.

The amount of food that Martin's dog eats is represented by using $m$

To find: the inequality that represents the situation

Solution:

Amount of food that Martin's dog eats = $m$

Amount of food that Felicity's dog eats ≤ 2

Also,

Amount of food that Felicity's dog eats $\geq \frac{1}{4}+\frac{m}{2}$

Therefore,

$\frac{1}{4}+\frac{m}{2}\leq$ Amount of food that Felicity's dog eats ≤ 2

Let $x$ denotes amount of food that Felicity's dog eats.

$\frac{1}{4}+\frac{m}{2}$ ≤ $\frac{1}{4}+\frac{m}{2} \leq x\leq 2$

3 0

3 years ago

Mr. Ramirez built a wooden storage shed for his tools. The dimensions of the shed are shown below. What is the volume of the sto

ankoles [38]

Answer:

$Volume = 24\ ft^3$

Step-by-step explanation:

Given [Missing from the question]

$Length = 170cm\\ Width = 100cm\\ Height = 40cm$

Required

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This is calculated as:

$Volume = Length * Width * Height$

$Volume = 170cm * 100cm * 40cm$

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Convert to cubic foot [Divide by 28317 ]

$Volume = \frac{680000\ ft/^3}{28317}$

$Volume = 24.0138432744\ ft^3$

$Volume = 24\ ft^3$ --- approximated

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Step-by-step explanation:

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