Answer:
220.5 in³
Step-by-step explanation:
<u>Volume = L×W×H</u>
Volume = 10.5 in × 7 in × 3 in
Volume = 220.5 in³
First find the slope of the given line:
4x +2y = 1
Subtract 4x from each side:
2y = -4x + 1
Divide both sides by 2:
y = -2x +1/2
The slope is -2.
Now use the slope to find the y-intercept. Because the line is perpendicular, you need to use the negative inverse of the slope.
The negative inverse of -2 is 1/2
Now using the point-slope form y - y1 = m(x-x1)
Use the inverse slope for m, and the given point(-4,3) to get:
y - 3 = 1/2(x+4)
Simplify:
y - 3 = x/2 +2
Add 3 to each side:
y = x/2 + 5
Reorder the terms to get y = 1/2x +5
The answer is D.
The correct answer is 9.42477796077 because pi 3.14ect you would just multiply it by 3 so the answer would be 9.42477796077
Talking about a parallelogram, we know that:
opposite sides and angles are congruent
in the picture below:
∠A = ∠C
AD = BC
if one angle is right, then the rest are right as well (making it a rectangle/square)
The consecutive angles are supplementary (meaning they add up to 180)
A + D = 180°
If y and w are consecutive angles, then
w = 180 - 32
=148°
If they are opposite angles, w = 32° (congruent angles)
Factor the following:x^4 + 4 x^3 + 6 x^2 + 4 x + 1
The coefficients match the 5^th row of Pascal's triangle, so x^4 + 4 x^3 + 6 x^2 + 4 x + 1 = (x + 1)^4:Answer: (x + 1)^4