Answer:
5y = x + 11
Step-by-step explanation:
Given parameters:
Equation of the line ;
y = -5x + 1
Coordinates = (2, -1)
Find the equation of a line perpendicular;
Solution:
A line perpendicular to y = -5x + 1 will have slope that is a negative inverse of the given one.
Equation of a straight line is expressed as;
y = mx + c
y and x are the coordinates
m is the slope
c is the y-intercept
So, the slope of the new line perpendicular is 
;
Now let us find the y-intercept of the new line;
x = -1 and y = 2
2 = x (-1) + c
c = 2 + = 
The equation of the new line is;
y = x +
or multiply through by 5;
5y = x + 11
2 = 25%. 25% also means 1/4. So, it is a quarter of something. So. So find 100%, you have to multiply 2 by 4. 2 * 4 = 8. Roman has 8 pencils in his backpack.
Answer: Maturation
Step-by-step explanation:Internal validity is a type of validity that establishes a cause and effect relationship,this type of validity tries to eliminate alternative explanation for a Discovery.
One of the threats to internal validity is MATURATION.
MATURATION is the type of threat occuring during experiment to prove a particular Discovery as shown by the question where the police officer shot and killed someone against the intention of the experiment.
Answer:
32.738ft³
32.7ft³
Step-by-step explanation:
This is half a sphere therefore volume=4/3πr³×1/2
4/3×22/7×2.5³×1/2
=32.738ft³
Answer:
Volume of cone = 200.96 square feet
Step-by-step explanation:
We are given the following information in the question:
The tree is cone shaped and has a radius of 4 feet.
r = 4 feet
The height of the tree is three times its radius.
Volume of tree =
Putting all the values, we get,
Radius of cone whose height is is equal to three times its radius is given as:
![V = \displaystyle\frac{1}{3}\pi r^2 h\\\\V = \displaystyle\frac{1}{3}\pi r^2 (3r)\\\\3V = 3\pi r^3\\\\ r = \sqrt[3]{\frac{3V}{3\pi}}](https://tex.z-dn.net/?f=V%20%3D%20%20%5Cdisplaystyle%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2%20h%5C%5C%5C%5CV%20%3D%20%20%5Cdisplaystyle%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2%20%283r%29%5C%5C%5C%5C3V%20%3D%203%5Cpi%20r%5E3%5C%5C%5C%5C%20r%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B3%5Cpi%7D%7D)
