R = 10.5
Step-by-step explanation:
Using Pythagorean theorem, we can write
(OM)^2 + 10^2 = (OR + 4)^2
Since OM = OR, let's call this segment R for brevity.
R^2 + 10^2 = (R + 4)^2
R^2 + 100 = R^2 + 8R + 16
This simplifies to
8R = 84
or R = 10.5
Answer:
35
Step-by-step explanation:
40 % of x = 14
x = 35
Answer:
<h3>c = 2</h3>
Step-by-step explanation:
The value of the fraction 3c+2/4 one less than the value of the fraction 5c-1/3 is expressed as;
(3c+2)/4 = (5c-1)/3 - 1
We are to calculate the value of c as shown;
(3c+2)/4 = (5c-1)/3 - 1
(3c+2)/4 = [(5c-1) - 3]/3
(3c+2)/4 = 5c-4/3
Cross multiply;
3(3c+2) = 4(5c-4)
9c + 6 = 20c -16
9c - 20c = -16 -6
-11c = -22
c = 22/11
c = 2
Hence the value of c is 2
Answer:
The range would decrease by 2
Step-by-step explanation:
The range is the difference between the highest number and the lowest number.
8 is the highest number and 1 is the lowest number here, so to find the range we would subtract 1 from 8. 8-1=7
But since 8 is being replaced by 6, we would subtract 1 from that instead.
6-1=5
The range decreased from 7 to 5, so it decreased by 2.
Hope that helps :)
To calculate the x-intercept of a line written in standard form you simply remove the "y" and solve for x. And you remove the "x" when solving for y.
y=0 , solve for x
x=0 , solve for y
Here is an example: (solving for x)
2x + 3y = 6
2x + 3(0) = 6
2x = 6
2x/2 = 6/2
x = 3
Here is an example: (solving for y)
2x + 3y = 6
2(0) + 3y = 6
3y = 6
3y/3 = 6/3
y = 2
