Step-by-step explanation:
E
working ;
(3x+2)^2
*Apply Perfect Square Formula : (a+b) =a^2+2ab+b^2
a = 3x,b = 2
(3x)^2 + 3x.2+2^2
finally Answer is:
= 9x^2 + 12x +4
Answer: 
Step-by-step explanation:
Given
Vertex of the parabola 
Focus of the parabola 
As the x coordinate of vertex and focus is same and focus lie below the vertex, therefore the parabola is the type of

distance between Vertex and focus is 1 unit

Parabola becomes

Answer:
V=BH
2x7.5x13=195in
Step-by-step explanation:
To find the volume of a box of cereal (also known as a rectangular prism) just multiply the area of the base (length times width) by the height. The formula is V = l · w · h. To find the volume of a box of cereal (also known as a rectangular prism) just multiply the area of the base (length times width) by the height.
Answer:
.894
Step-by-step explanation:
First thing to do is to solve for the height of the triangle, BD. That's easy. We have the length of the hypotenuse and the base, so Pythagorean's Theorem gives us that the height is 8.003255588 which rounds nicely to 8. Now you have to call on the fond memories you have of the geometric mean in right triangles to solve the rest. For the sin of x you need the hypotenuse of that smaller right triangle on the left, side AB. First let's use geometric mean to find AD. The formula for that, now that we know the height, is

Filling that in with numbers we have
and
64 = 16(AD). Solve for AD to get that AD has a length of 4. Now we know two of the three sides in that smaller triangle on the left and can solve for the hypotenuse.
and
so
c=√80 which simplifies to 4√5. That means that the sin ratio for x is

which divides out to .894
Answer:
- April
- She did not pack enough layers of centimeter cubes
- 240 cubic centimeters
Step-by-step explanation:
Dimensions of the prism is 5x8x6
April made a mistake, she packed 4 layers of unit cubes instead of 5 layers
<u>Correct volume of the prism is:</u>
<u>Correct answer choices:</u>
- April
- She did not pack enough layers of centimeter cubes
- 240 cubic centimeters