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4 years ago

(-5, 4); slope-3 So what is the answer

1 answer:

4 0

Make a graph and start at the origin (0,0) count down 5 units and across to the right 4 units. Put a dot here. For every 1 unit the line moves to the right, it moves down 3.

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A larger number is 2 more than 4 times a smaller number. The larger number is also 8 more than 2 times the smaller number.

pogonyaev

Answer:

see the explanation

Step-by-step explanation:

Let

x ----> the smaller number

y ----> the larger number

we know that

A larger number is 2 more than 4 times a smaller number

<u><em>Identify the key words</em></u>

is (=)---> equal

more (+) ---> addition

times (*) ---> multiplication

That means

The larger number y is equal to multiply the smaller number x by 4 and then adds 2

$y=4x+2$ ----> equation A

The larger number is also 8 more than 2 times the smaller number

<u><em>Identify the key words</em></u>

is (=)---> equal

more (+) ---> addition

times (*) ---> multiplication

That means

The larger number y is equal to multiply the smaller number x by 2 and then adds 8

$y=2x+8$ ----> equation B

Solve the system of equations by substitution

equate equation A and equation B

$4x+2=2x+8$

$4x-2x=8-2\\2x=6\\x=3$

Find the value of y

substitute the value of x in equation A or equation B

$y=4(3)+2=14$

therefore

The smaller number is 3 and the larger number is 14

5 0

3 years ago

Read 2 more answers

Find the area of a regular hexagon with the given measurement.

yawa3891 [41]

Answer: $24\sqrt{3}in^2$ or $41.56in^2$

Step-by-step explanation:

You can find the area of a regular hexagon with the following formula:

$A_{(hexagon)}=\frac{3\sqrt{3}s^2}{2}$

Where "s" is any side of the regular hexagon.

For this hexagon you know that the length of each side is 4 inches. Then, you must substitute $s=4in$ into the formula $A_{(hexagon)}=\frac{3\sqrt{3}s^2}{2}$ .