Answer:
18ft wide and 33 ft long
Step-by-step explanation:
We are told in the question that:
Cynthia Besch wants to buy a rug for a room that is 20 ft wide and 35 ft long.
The Area of the carpeting she must have = 594 ft²
To solve for this, we have:
Length × Width = Area of a rectangle
594ft² = Length × Width
594ft² = (20 - x) (35 - x)
594 = 700 - 20x - 35x + x²
594 = 700 - 55x + x²
Collect like terms
x² - 55x + 700 - 594
x² - 55x + 106
We factorise
x² - 2x - 53x + 106
(x² - 2x) -(53x + 106)
x(x - 2) -53(x - 2)
(x - 2)(x - 53)
x - 2 = 0, x = 2
x - 53 = 0, x = 53
We choose the least value for x
Hence, x = 2
Length = 20 - 2 = 18ft
Width = 35 - 2 = 33ft
The dimensions the rug should have is 18ft by 33ft, meaning 18ft wide and 33 ft long
The given expression can be rewritten an infinite number of ways. Here are a couple of them
.. 10x -15
.. -50(-0.2x +0.3)
_____
You need some additional condition before you can talk about solutions. Perhaps "= 0", as in 5(2x -3) = 0, then x=3/2 is the one solution.
It looks like there might be a missing operator between 5 and (. That would be an additional piece of information needed before the number of solutions can be given.
51 degrees, because using complimentary angles you can calculate that the angle S is half that of angle C
(12 ÷ 3) - 1
Twelve divided by three is four. Four minus 1 is three.
Hope I helped, and for further inquires, just post your question on Brainly!
Answer:
C(-4,-2), D(3,-7)
Step-by-step explanation:
we procced to identify points:
A(-4,-7), B(3,-2)
for being the sides of a rectangle parallel to the axes, we find the other two vertices (VIEW GRAPH)
C(-4,-2), D(3,-7); Area of the rectangle Ar=b*h, where
So Ar=(3-(-4))*(-2-(-7)) = (3+4)*(-2+7)=7*5=