Let the length of the patio is x and width is 3/4x
So according to the equation x.3/4x = 432
x^2. 3/4 =432
x^2 =432 times 4/3
x^2 =1728/3 =576
x= 24

The length is 24 ft

5 0

3 years ago

What is the slope of the line that contains these points? xxx -4−4minus, 4 -3−3minus, 3 -2−2minus, 2 -1−1minus, 1 yyy 222 555 88

Charra [1.4K]

Given:

The table of values is

x y

-4 2

-3 5

-2 8

-1 11

To find:

The slope of the line that contains these points.

Solution:

From the given table consider any two point.

Let the line passes through the points (-4,2) and (-3,5). So, the equation of the line is

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

$y-2=\dfrac{5-2}{-3-(-4)}(x-(-4))$

$y-2=\dfrac{3}{-3+4}(x+4)$

$y-2=\dfrac{3}{1}(x+4)$

Using distributive property, we get

$y-2=3x+12$

$y=3x+12+2$

$y=3x+14$

Therefore, the required equation of line is $y=3x+14$ .

4 0

3 years ago