Lets take it in order:
1) 90 deg because the angle right next to it is a right angle
2) 128 deg becasue of the angle directly across from it
3) x = 180 - 128 = 52 deg
4) 180 = 90 + 52 + x so x = 180 - 90 - 52 = 38
5) 180 = 38 + x so x = 180 - 38 = 142
6) Same as 4
7) Same as 5
Check my math, as I just did it in my head
The greatest common factor is 48
Given:
The slope of the line is m=0.
The line passes through the point P(-9,-3).
To find:
The equation of the line in standard form.
Solution:
Standard form of a line is:

The slope intercept form of the line is

Where, m is the slope and
is the point on the line.
It is given that the slope of the line is 3 and it passes through the point (-9,-3), so the equation of the line is



Therefore, the standard form of the given line is
.
Solve for x: x^2+4x-5=16x
first take 16x from both sides of the equation
x²-12x-5=0
now we have a quadratic. we can solve it by using the quadratic formula
x=-b plus or minus the square root of b²-4ac all divided by 2a
where a=1, b=-12 and c=-5
plug these numbers into the formula
x=12 plus or minus the square root of 144-4x1x-5 all divided by 2
<span>x=12 plus or minus the square root of 164 all divided by 2
or in decimal form </span>x = {12.403124237, -0.403124237}
Answer:
12 cubes can fit in the create.
Step-by-step explanation:
We know that the volume of a the crate is 768 in³, and the definition of the volume is:

Where:
- V is the volume
- A is the area (A=8*12 in²)
- h is the height
So
Now, we know that the storage cube has a length of 4 in so we have a volume equal to 64 in³. Therefore we just need to divide 768 in³ by 64 in³ it is 12.
Finally, 12 cubes can fit in the create.
I hope it helps you!