Answer:
length=53 in
width= 23 in
Step-by-step explanation:
First, we know that each corner has now a square of 6 in long, so the heigth of the box will be of this size (as you can see in the picture attached). Then, the length and the width of the box would be the same as the piece, but with 12 in less. Therefore the equations to solve the problem are:
We factorize the 6 and we get:
Finally we solve for x, and we get the initial dimensions of the piece of metal:
Answer:
The point A will be (-8,14) or (-8,-10).
Step-by-step explanation:
Point B has coordinates (1,2) and the x-coordinate of point A is - 8.
Let us assume that the coordinates of point A are (-8,k).
Now, given that the point A is 15 units apart from point B.
Therefore, from the distance formula, we can write that
Now,squaring both sides, we get
⇒
⇒ 2 - k = ± 12
⇒ k = 14 or -10.
Therefore, the point A will be (-8,14) or (-8,-10). (Answer)
We know that the distance between two points on the coordinate plane () and (
) is given by
.
Answer:
Step-by-step explanation:
we have
we know that
The equation of a vertical parabola into vertex form is equal to
where
(h,k) is the vertex of the parabola
and the axis of symmetry is equal to
In this problem we have the axis of symmetry
so
the x-coordinate of the vertex is equal to
therefore
For -----> one unit to the right of the vertex
Find the value of
For -----> one unit to the left of the vertex
Find the value of
Remember that
------> the x-coordinates are at the same distance from the axis of symmetry
so
------> solve for b
