Answer:
Since the measurement can't be negative the correct answer for this case would be 
Step-by-step explanation:
Let's assume that the figure attached illustrate the situation.
For this case the we know that the original area given by:
And we know that the initial area is a half of the entire area in red 
, so then:
And we know that the area for a rectangular pieces is the length multiplied by the width so we have this:
We multiply both terms using algebra and the distributive property and we got:
And we can rewrite the expression like this:
And we can solve this using the quadratic formula given by:
Where 
if we replace we got:
And the two possible solutions are then:
Since the measurement can't be negative the correct answer for this case would be
Answer:
The exact distance between the two points is 10
Step-by-step explanation:
Answer:
The third one.
Explanation:
A dilation is a shrink or a stretch of a figure.
In a dilation, all sides either increase or decrease by the same scale factor. Additionally, in a dilation the angle measures of the figure do not change.
In the first figure, we can see that the base angles of the pre-image are slightly different than those of the image. This is not a dilation.
In the second figure, the angles are noticeably different; again, not a dilation.
In the fourth figure, much like the second figure, the angles are noticeably different. This is not a dilation.
In the third figure, however, we can see that the slanted sides of the larger figure go through three boxes; they are three units long. Additionally we can see that the slanted sides of the smaller figure go through 1 side; this is a dilation b a factor of 3.
The base sides of the third figure, in the larger shape, are 6 units long; in the smaller figure, they are 2 units long. This is a dilation by a factor of 3.
Answer:
-x² + 8x - 7
Step-by-step explanation:
Step 1: Write expression
(7 - x)(x - 1)
Step 2: FOIL (First Outside Inside Last)
7x - 7 - x² + x
Step 3: Combine like terms
-x² + 8x - 7
Answer:
27-(2·9)=9 inches
Step-by-step explanation:
the door is 27 inches wide, and the distance from each end of the towel bar to the end of the door is 9 inches, so the towel bar would take up all of the door except the 2·9 inches, so the equation is 27-(2·9)=9 in
