Answer:
(-9.5,1,7)
Step-by-step explanation:
Answer:
l = 6 inches
Step-by-step explanation:
We have,
The volume of a rectangular prism with a square base is
.
Height of the prism is 5 in
It is required to find the length of the edge of the square base. Let it is l.
The formula of the volume of the rectangular prism is given by :
![V=l\times b\times h](https://tex.z-dn.net/?f=V%3Dl%5Ctimes%20b%5Ctimes%20h)
A is area of base of prism
It has a square base, l =b
![V=l^2\times h\\\\l=\sqrt{\dfrac{V}{h}} \\\\l=\sqrt{\dfrac{180}{5}} \\\\l=6\ in](https://tex.z-dn.net/?f=V%3Dl%5E2%5Ctimes%20h%5C%5C%5C%5Cl%3D%5Csqrt%7B%5Cdfrac%7BV%7D%7Bh%7D%7D%20%5C%5C%5C%5Cl%3D%5Csqrt%7B%5Cdfrac%7B180%7D%7B5%7D%7D%20%5C%5C%5C%5Cl%3D6%5C%20in)
So, the length of the edge of the square base is 6 inches.
The point-slope form of the equation of a straight line is:
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
We have:
![m=-4\\(4;-9)\to x_1=4;\ y_1=-9](https://tex.z-dn.net/?f=m%3D-4%5C%5C%284%3B-9%29%5Cto%20x_1%3D4%3B%5C%20y_1%3D-9)
Substitute:
![y-(-9)=-4(x-4)\\\\\boxed{y+9=-4(x-4)}](https://tex.z-dn.net/?f=y-%28-9%29%3D-4%28x-4%29%5C%5C%5C%5C%5Cboxed%7By%2B9%3D-4%28x-4%29%7D)
Answer:True, true, true.
Step-by-step explanation:
The diagonals of a rectangle are equal and bisect each other.
NQ= 2×5 =10
Using Pythagoras theoram,
PQ²+NP²=NQ²
4²+ NP²= 10²
NP²= 100-16
NP²= 84
NP =√84
<h3>
NP=2√21 = 9.2</h3>