Answer:
(5,1) is not a solution of the above system of equations.
Step-by-step explanation:
We are given a system of equations that are
- 5y = - 5 ......... (1) and
7x + 6y = 7 ........... (2)
So, solving equation (1) we get y = 1 and putting y = 1 in the equation (2) we get 7x = 7 - 6(1) = 1
⇒
So, it clear from the solution of the above equations i.e. (
), we can say that (5,1) is not a solution of the above system of equations. (Answer)
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.
Answer:
304
Step-by-step explanation:
4865/16 = 304.0625 or about 304
I have to round it since you can't bring part of a student in a trip lol.
<em>Ace Carlos</em>
It goes in .25 times because 24 divided by 96 is .25.
Answer:-2
Step-by-step explanation:
if you count from -5 and take away 3 it will give you -2