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victus00 [196]
3 years ago
15

Find the area of the square rug if it is side is (7X +4) feet.

Mathematics
1 answer:
likoan [24]3 years ago
5 0

Answer:

49x^{2}+56x+16 ft squared.

Step-by-step explanation:

Alright, so we are given that we have a rug that has a side of 7x+4 feet. With this information, we are able to determine the area of the square rug. Considering that it is a square rug, all the sides are equal to each other because a square has four equal sides and angles.

To solve this, you can do it in two ways.

One, write it as (7x+4)2. That 2 is supposed to represent squared.

If you know the rule, this is a perfect square trinomial.

The formula is a squared plus 2ab plus b squared. 7 and 4 are your a and b values. 7x squared is 49x squared and 4 squared is 16.

2ab, multiply 2 times 7x times 4. That is 56x.

Therefore, the area is 49xsquared plus 56x+16.

Another way is to write it like this (7x+4) (7x+4).

Since it is an exponent, we are multiplying the same thing two times. Apply the Distributive Property.

E.G. 2(x+5)= 2x+10.

With this, you are distributing two numbers into another two numbers. 7x times 7x is 49x squared and 7x times 4 is 28x. Then, go to 4. 4 times 7x is also 28 x and 4 times 4 is 16. Now, combine the like terms. 49x squared plus 28x plus 28x or 56x plus 16.

This represents your area.

I hope this helps, and I hope you have a good day!

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Write an equation in slope - intercept form, and then find the slope and y- intercept 3x-y=14
NeX [460]

Answer:

slope-intercept form: y = 3x - 14

slope: 3

y-intercept: -14

Step-by-step explanation:

To find the equation in slope-intercept form, isolate the "y" variable by moving everything to the other side. Slope-intercept form looks like y = mx + b.

"x" and "y" mean points that are on the line.

"m" is the slope.

"b" is the y-intercept.

Rearrange the equation to isolate "y"

3x - y = 14

3x - 3x - y = 14 - 3x          Subtract 3x from both sides

-y = 14 - 3x          Multiply both sides by -1.

y = -14 + 3x          Put "3x" in front of "-14" because it has the 'x'

y = 3x - 14          Looks like y = mx + b

State the "m" and "b".

m = 3     (Slope of the line)

b = -14    (y-intercept of the line)

Therefore the equation of the line in slope-intercept form is y = 3x - 14. The slope is 3 and the y-intercept is -14.

3 0
3 years ago
What is the answer to x 3,6,9,12 y -6,-12,-18,-24 y=mx+b
Solnce55 [7]

Answer:

The equation of the line or linear function is:

y = -2x

Step-by-step explanation:

Given the table

x        3       6       9        12

y      -6    -12      -18      -24

As there is a constant change in x and y values, so the table represents the linear function.

The slope-intercept form of the linear equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Taking any two points, let say

  • (3, -6)
  • (6, -12)

Determining the slope between (3, -6) and (6, -12)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

m=\frac{-12-\left(-6\right)}{6-3}

Refine

m=-2

Thus, the slope m = -2

now substituting m = -2 and (3, -6) in the slope-intercept form

y = mx+b

-6 = -2(3) +b

-6 = -6 + b

b = -6 + 6

b = 0

Thus, the y-intercept b = 0

now substituting m = -2 and b = 0  in the slope-intercept form of linear function

y = mx+b

y = -2x + 0

y = -2x

Therefore, the equation of line or linear function is:

y = -2x

4 0
3 years ago
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