Answer:
height=100feet
Step-by-step explanation:
perimeter of a rectangle=p=500 feet
p=2a+2b equation 1
a=height
b=base
we have: b/a=3/2
so a=(2*b)/3
in equation 1 we have:
500=2*((2*b)/3)+2*b
so we have
500=(4*b)/3 + 2*b
500=(4b+6b)/3
500=(10b)/3
500*3=10b
b=(500*3)/10
b=150 feet =base
so
a=(2*150)/3=100 feet = height
2(x + y) + 3(x + y)
first distribute:
(multiply 2 into everything in the first parenthesis, and 3 into everything in the second)
2x + 2y + 3x + 3y
Second simplify (add all like terms (adding in this case) )
(2x + 3x) + (2y +3y)
5x + 5y
your answer is: 5x + 5y
hope this helps
Answer:
A system of linear equations will have exactly one point of intersection, for example:
2x+y=5
-x+y=2
However, a system of linear equations with no solution will have no points of intersection, for example:
-4x+10y=6
2x-5y=3
Sorry about c. though I'm confused on how a pair of equations can have infinite points of intersection unless x or y equals all real numbers which could happen if x or y both equaled all real numbers maybe
And the point of interesection for the system of equations in the problem you attached as an image is (2,-1)
I attached a photo below, and one of how to graph it
Answer:
264 cm^2.
Step-by-step explanation:
The area = 1/2 * height * sum of the parallel sides
= 1/2 * 12 * (28 + 16)
= 6 * 44
= 264 cm^2.
Step-by-step explanation:
(2,4)===(4,-2)
(4,3)===(3,-4)
(2,3)===(3,-2)