Which expression has an equivalent value to x2 + 9x + 8 for all values of x?
2 answers:
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Answer:
- (A)Six of the one-half cubes would have a volume of 3 cubic units.
- (D)Three of the one-third cubes will make 1 unit cube.
- (E)Two of the one-half cubes will make 1 unit cube.
- (F)Both stacks will have a volume of 3 cubic units.
Step-by-step explanation:
Marissa claims that stacking 6 blocks with dimensions of will give the same volume as stacking 9 blocks with dimensions of
.
First, let us examine the volume of each of the blocks.
<u>For Block 1</u>
The dimensions are:
Volume of 1 block =
Volume of 6 blocks of dimension
<u>For Block 2 </u>
The dimensions are:
Volume of 1 block =
Volume of 9 blocks of dimension
The following statements out of Marissa's claim are true:
(A)Six of the one-half cubes would have a volume of 3 cubic units.
(D)Three of the one-third cubes will make 1 unit cube.
(E)Two of the one-half cubes will make 1 unit cube.
(F)Both stacks will have a volume of 3 cubic units.
Given:
Vertices of a parallelogram are C(-5,5), D(2,5), E(-1,-1), and H(-8,-1).
P is the intersection point of diagonals CE and DH.
To find:
The coordinates of P.
Solution:
We know that, diagonals of a parallelogram always bisect each other. It means the intersection point of the diagonal is the midpoint point of both diagonals.
We can find the midpoint of either diagonal CE or diagonal DH to get the coordinates of intersection point of diagonals, i.e. P.
So, point P is midpoint of CE. So,
Therefore, the coordinates of point P are (-3,2).