First we find the slope between the two given points.
m = (y2 - y1)/(x2 - x1) = (-5 - 2)/(7 - 6) = -7/1 = -7
Now we use the slope-intercept equation of a line.
y = mx + b
We use one point as x and y, and we solve for b.
2 = -7(6) + b
2 = -42 + b
b = 44
The equation is
y = -7x + 44
Answer: f(x) = -7x + 44
It is true and stands for 4.06
the angles on the opposite sides of a quadrilateral touching the circumference adds up to 180 degrees
so,
(21x-2) + (38x +5) = 180
21x+38x −2+5=180
59x+3=180
59x=177
x=3
Answer:
Yes, it will fit snugly in a 90º corner
Step-by-step explanation:
To do this, we simply need to check if the given sides of the shelf is right-angled.
So, we have:


To check for right-angle triangle, we make use of:

This gives:




This shows that the given sides of the shelf is a right-angled triangle.
Hence, it will fit the wall
Answer:
I am only in like 5th grade, but I'll do my best to answer this.
Step-by-step explanation:
Volume of a cylinder: πr^2h where "r" is the radius and "h" is the height
π * 4^2 because since the width is 8, half of that is the radius
π * 4^2 * 8 because you still have to multiply that by the height to find the full space inside
= π * 4^2 * 8
V ≈ 402.12 (rounded to two decimals)