The sum of length and width is half the perimeter, so is (70 in)/2 = 35 in. Since this is the sum of length and width, if we add 5 inches, it will be twice the length. That is ...
... length + width = 35 in
... length + (width + 5 in) = (35 in) + (5 in)
... 2×length = (35 in) + (5 in) = 40 in
The length of the rectangle is 20 inches.
Answer:
y = -4x-21
Step-by-step explanation:
Hi there!
We want to write an equation of the line that passes through (-4, -5) and is parallel to y=-4x-1.
Parallel lines have the same slopes. So let's find the slope of y=-4x-1.
The line is written in the form y=mx+b, where m is the slope and b is the y intercept.
As -4 is in the place of where m should be, -4 is the slope of y=-4x-1.
It's also the slope of the line parallel to that line.
Right now, what we know about the line parallel to y=-4x-1 is that the slope of it is 4 and it passes through the point (-4, -5).
We can substitute those values into the formula for point-slope form, which is , where m is the slope and is a point.
We can label the values of everything to help us avoid confusion.
m=-4
Now substitute those values into the formula. Note: the formula contains SUBTRACTION, and we have NEGATIVE numbers. Hence,
Now simplify.
On the right side, do the distributive property.
y+5=-4x-16
Subtract 5 from both sides.
<u>y=-4x-21</u>
Hope this helps!
Answer:
6 pieces
Step-by-step explanation:
They have a common denominator of 6, so it should be cut into 6 pieces. Sue would get 3 pieces (half the pan) and Dena would get 2 pieces (one-third the pan)