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Paladinen [302]
2 years ago
15

Complete the equation of the line through (4,-8)(4,−8)left parenthesis, 4, comma, minu

Mathematics
1 answer:
In-s [12.5K]2 years ago
3 0
Equation of a line is in the form y = mx+c, where m is the gradient and c is the y-intercept.

First step is to find the gradient.

m = (y2-y1)/(x2-x1)
= ( 5- -8)/(8-4) = 13/4

We have y = (13/4)x + c

Now we replace one of the coordinates to find c. Let’s replace (4,-8)

We have: -8 = (13/4)*4 + c

-8=13+c
c=-8-13= -21

Therefore, equation of line is:

y = (13/4)x - 21
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If there are 24 blue blocks and six of them are red what percentage of the blocks are red
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20 % are red

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2 years ago
You are designing a large rectangular fish tank for your tropical fish. The length will be 1 yard 3 inches, the width will be 1.
sergejj [24]

Unit conversion is a way of converting some common units into another without changing their real value. 30 fishes can flourish in a fish tank with a capacity of 976 cups.

<h3>What is Units conversion?</h3>

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

As it is given that the length will be 1 yard 3 inches, the width will be 1. 5 feet, and the height will be 20 inches. Therefore, Converting all the dimensions to inches.

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Width = 1.5 feet = 1.5×12 = 18 inches

Height = 20 inches

A.) The volume of the fish tank can be written as,

\rm \text{Volume of the Fish Tank} = Length \times Width \times Height

                                      = 39 \times 18 \times 20\\\\= 14,040\rm\ in^3

Thus, the volume of the fish tank is 14,040 in³.

B.) As we know that a cup is equal to 0.0625 gallons. Therefore, the capacity of the fish tank in gallons can be written as,

\rm 1\ cup= 0.0625\ gallons\\\\976\ cup= 976 \times 0.0625\ gallons\\\\976\ cup= 61\ gallons

Now, for a total of 30 fish, the water that will be needed is one fish needs 2 gallons of water is,

\rm Water\ Needed = 30 \times 2 = 60\ gallons

As the water needed for the 30 fishes to flourish is 60 gallons while the tank has a capacity of 61 gallons.

Hence, 30 fishes can flourish in a fish tank with a capacity of 976 cups.

Learn more about Units conversion:

brainly.com/question/4736731

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