Answer:
a rectangle is twice as long as it is wide . if both its dimensions are increased 4 m , its area is increaed by 88 m squared make a sketch and find its original dimensions of the original rectangle
Step-by-step explanation:
Let l = the original length of the original rectangle
Let w = the original width of the original rectangle
From the description of the problem, we can construct the following two equations
l=2*w (Equation #1)
(l+4)*(w+4)=l*w+88 (Equation #2)
Substitute equation #1 into equation #2
(2w+4)*(w+4)=(2w*w)+88
2w^2+4w+8w+16=2w^2+88
collect like terms on the same side of the equation
2w^2+2w^2 +12w+16-88=0
4w^2+12w-72=0
Since 4 is afactor of each term, divide both sides of the equation by 4
w^2+3w-18=0
The quadratic equation can be factored into (w+6)*(w-3)=0
Therefore w=-6 or w=3
w=-6 can be rejected because the length of a rectangle can't be negative so
w=3 and from equation #1 l=2*w=2*3=6
I hope that this helps. The difficult part of the problem probably was to construct equation #1 and to factor the equation after performing all of the arithmetic operations.
A- positive
B-negative
C-positive
A was positive because 5-2 would be positive 3.
B was negative because 8-12 would be negative 4.
C was positive because -5+8 is positive 3.
Answer:
k=45
Step-by-step explanation:
Since the sum of the measures are 180 and the measures are 45 degrees, k degrees, and 2k degrees, we can conclude that 
. 2k and k are like terms, so you can add 2k and k to get 3k.Then, you would have 
. Since you are finding k, you want to isolate k as best you can. To do this, you subtract 45 on both sides 
as shown by the equation, 180-45 is 135. Then, you divide 3 on both sides to get k=45.
Answer:
HERE IS THE ANSWER HOPE IT HELPS
Step-by-step explanation:
Brainliest?
Use math papa
Answer:
It would have to be 650
Step-by-step explanation:
Hope this helped
