Answer:
x = 6 and -6
Step-by-step explanation:
x²-36 = 0
isolating x
x²-36+36 = 0+36
x²=36
√x² = √36
x = ±6
The answer for x is 5. :))))
Answer:
Option D 868 cubic inches
Step-by-step explanation:
The picture of the question in the attached figure
we know that
The volume of the bird house is equal to the volume of the pentagonal prism
step 1
Find the volume of the pentagonal prism
![V=BL](https://tex.z-dn.net/?f=V%3DBL)
where
B is the area of the pentagonal base
L is the length of the prism
Find the area of the base B (pentagon)
Area of triangle plus area of trapezoid
![B=\frac{1}{2}(12)(6)+\frac{1}{2}(10+12)8](https://tex.z-dn.net/?f=B%3D%5Cfrac%7B1%7D%7B2%7D%2812%29%286%29%2B%5Cfrac%7B1%7D%7B2%7D%2810%2B12%298)
![B=36+88=124\ in^2](https://tex.z-dn.net/?f=B%3D36%2B88%3D124%5C%20in%5E2)
Find the volume
![V=BL](https://tex.z-dn.net/?f=V%3DBL)
we have
![B=124\ in^2\\L=7\ in](https://tex.z-dn.net/?f=B%3D124%5C%20in%5E2%5C%5CL%3D7%5C%20in)
![V=124(7)=868\ in^3](https://tex.z-dn.net/?f=V%3D124%287%29%3D868%5C%20in%5E3)
Answer:
0
Step-by-step explanation:
The slope of a line is obtained thus :
Slope = Rise / Run
Rise = (x2 - x1)
Run = (y2 - y1)
x2 = 3 ; x1 = 0
y1 = - 20 ; y2 = - 20
Slope = (-20 - (-20)) / (3 - 0)
Slope = (-20 + 20) / 3
Slope = 0 / 3
Slope = 0
Hence, the slope or rate of change = 0
Answer:
![k-m=b](https://tex.z-dn.net/?f=k-m%3Db)
![b-m=diff](https://tex.z-dn.net/?f=b-m%3Ddiff)
Step-by-step explanation:
If there are total of k students in a class, and m of those students are girls, the total amount of boys would be:
![k-m=b](https://tex.z-dn.net/?f=k-m%3Db)
(Where k, m, b are variables that represent the total number of students, the amount of girls and the amount of boys respectively)
As the amount of girls subtracted from the total amount would leave you with the amount of boys.
There would be:
more boys than girls.
If there were 10 total students in the class and 3 of those students were girls, lets use our above equations to see if they are correct - and if we get the expected amounts of:
7 boys in the class, and 4 more boys than there are girls.
![k-m=b\\10-3=7\\7=7](https://tex.z-dn.net/?f=k-m%3Db%5C%5C10-3%3D7%5C%5C7%3D7)
This is correct, as we expected this amount.
![b-m=diff\\7-3=4](https://tex.z-dn.net/?f=b-m%3Ddiff%5C%5C7-3%3D4)
The difference between them is 4, so this is correct.