B If It’s Wrong I’m Sorry
Equation:
![\frac{ y_{2}-y_{1} }{x_{2}-x_{1}}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20y_%7B2%7D-y_%7B1%7D%20%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%20)
plug the numbers into the equation:
((-15) - (-16)) / (-7) - (19)
(-15+16) / (-7-19)
1 / -28
The answer is -1/28
0.17 because you would do $2.04/12=0.17 so that would be the answer want to check it do 0.17*12=2.04 so 0.17 is your answer
The interval notation for width of rectangle will be: (1,33)
Step-by-step explanation:
Perimeter of rectangle < 172 feet
Length of rectangle = 53 feet
Width of rectangle = ? (range of values)
The formula used to find perimeter of rectangle is:
![Perimeter=2l+2w](https://tex.z-dn.net/?f=Perimeter%3D2l%2B2w)
where l is length and w is width
In our case we will use:
because perimeter should be less than 172
Putting values:
![2l+2w](https://tex.z-dn.net/?f=2l%2B2w%3CPerimeter%5C%5C2%2853%29%2B2w%3C172%5C%5C106%2B2w%3C172%5C%5C2w%3C172-106%5C%5C2w%3C66%5C%5Cw%3C66%2F2%5C%5Cw%3C33)
So, width should be less than 33
Since width should be positive and greater than 0
So, the interval notation for width of rectangle will be: (1,33)
Keywords: Perimeter of rectangle
Learn more about Perimeter of rectangle at:
#learnwithBrainly
The side length of the square base is 18 inches and the height of the pyramid is 9 inches.
Step-by-step explanation:
Step 1:
The volume of a square pyramid is calculated by multiplying the square of the base edge with the height of the pyramid and
.
The volume of a square pyramid, ![V = a^{2} \frac{h}{3}.](https://tex.z-dn.net/?f=V%20%3D%20a%5E%7B2%7D%20%5Cfrac%7Bh%7D%7B3%7D.)
Step 2:
From the given diagram, the base edge is the length of the four base edges which is x inches in this pyramid. a = x inches.
The height of the pyramid is from the base to the top, h =
inches .
The volume of a square pyramid, ![V = 972.](https://tex.z-dn.net/?f=V%20%3D%20972.)
Substituting the known values, we get
![972 = (x)^{2} (\frac{x}{2}) (\frac{1}{3} ) = \frac{x^{3} }{6} .](https://tex.z-dn.net/?f=972%20%3D%20%28x%29%5E%7B2%7D%20%28%5Cfrac%7Bx%7D%7B2%7D%29%20%20%28%5Cfrac%7B1%7D%7B3%7D%20%29%20%3D%20%5Cfrac%7Bx%5E%7B3%7D%20%7D%7B6%7D%20.)
![x^{3} = 6(972) = 5,832. x = \sqrt[3]{5,832} = 18.](https://tex.z-dn.net/?f=x%5E%7B3%7D%20%3D%206%28972%29%20%3D%205%2C832.%20x%20%3D%20%5Csqrt%5B3%5D%7B5%2C832%7D%20%3D%2018.)
So x is 18 inches long.
The side length
inches.
The height of the pyramid
inches.