Answer:
2. Sorry, I don't how to put that into words, because i'm trying to use calculators, then figure out how they got their answer.
3. C
Step-by-step explanation:
2. ^
3. to get the difference between two numbers, (100 and 50, for example,) you must just simply have them minus each other, like simple math. 100 - 50 = 50.
So your difference between the number 100, and the number 50, are 50.
Answer:
(x+3)(x-4)^2
Step-by-step explanation:
= (x+3)(x^3-5x^2-8x+48)/(x+3)
= x (x^3-5x^2-8x+48)/(x+3)
= x^2-8x+16
= (x+3)(x-4)(x-4)
= (x+3)(x-4)^2
Answer:
-6
Step-by-step explanation:
We know that since Ax + By = 3 passes through (-7, 2), then if we plug -7 in for x and 2 in for y, the equation is satisfied. So, let's do that:
Ax + By = 3
A * (-7) + B * 2 = 3
-7A + 2B = 3
We also know that this line is parallel to x + 3y = -5, which means their slopes are the same. Let's solve for y in the second equation:
x + 3y = -5
3y = -x - 5
y = (-1/3)x - (5/3)
So, the slope of this line is -1/3, which means the slope of Ax + By = 3 is also -1/3. Let's solve for y in the first equation:
Ax + By = 3
By = -Ax + 3
y = (-A/B)x + 3/B
This means that -A/B = -1/3. So, we have a relationship between A and B:
-A/B = -1/3
A/B = 1/3
B = 3A
Plug 3A in for B into the equation we had where -7A + 2B = 3:
-7A + 2B = 3
-7A + 2 * 3A = 3
-7A + 6A = 3
-A = 3
A = -3
Use this to solve for B:
B = 3A
B = 3 * (-3) = -9
So, B = -9 and A = -3. Then B - A is:
B - A = -9 - (-3) = -9 + 3 = -6
The answer is -6.
<em>~ an aesthetics lover</em>
Answer:
Part (A) The required volume of the column is 
.
Part (B) The volume be 
.
Step-by-step explanation:
Consider the provided information.
It is given that the we have a square with side length "s" lies in a plane perpendicular to a line L.
Also One vertex of the square lies on L.
Part (A)
Suppose there is a square piece of a paper which is attached with a wire through one corner. As you blow it up it spins around on the wire.
This square moves a distance h along L, and generate a corkscrew-like column with square.
The cross section will remain the same.
So the cross section area of original column and the cross section area of twisted column at each point will be the same.
The volume of the column is the area of square times the height.
This can be written as:
Hence, the required volume of the column is .
Part (B) What will the volume be if the square turns twice instead of once?
If the square turns twice instead of once then the volume will remains the same but divide the volume into two equal part.
Hence, the volume be .
Answer:
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