Answer:
The answer is 3w-5
Step-by-step explanation:
First you would have to figure out what 3 times the width is which would be the 3w part then to fine the length you would subtract 5 since it is 5 inches shorter
The three points A,B,C are all points on this circle.
Each point is then equal distance from the center, that distance being the radius of the circle.
Using the distance formula, we can find the center of the circle (x,y):
Plugging in points A and B into distance formula, then setting them equal to each other gives:
Right away we can cancel out the x terms leaving:
Expand Left side and Solve for y:
Plug in points B and C as before:
Here we can cancel the y-terms.
Expand and solve for x:
Therefore the center of the circle is the point (6,3)
Answer:
20cm
Step-by-step explanation:
Given data
Area= 80cm^2
we know that the expression for the area of a triangle is
A= 1/2B*H
from the given expression 1/2(8h) =80 the base is 8cm
let us substitute to find the height h
1/2(8h) =80
4h=80
h= 80/4
h= 20cm
Hence the heigth h is 20cm
Answer:
y = 3/4x - 3
Step-by-step explanation:
If you write the equation in slope-intercept form, you will need the slope(m) and the y-intercept(b):
y = mx + b
To solve this, you first need to know the slope of the line in the given equation. In order to do this, change it to slope-intercept form for easy analyzation:
-3x + 4y = 4
= 4y = 3x + 4
= y = 3/4x + 1
Now, you know the slope(m) is 3/4, so you have this much of the slope-intercept equation:
y = 3/4x + b
At this point, you need to find the y-intercept. This can be done by plugging in the given point in the equation and solving for b:
using (4, 0) and y = 3/4x + b,
(0) = 3/4(4) + b
0 = 3 + b
b = -3
So, that means that the equation for the line is:
y = 3/4x - 3