Answer:
(x + 4)(x - 2) = x · x
(option L)
Step-by-step explanation:
we know that area = length × width
So, can write out the lengths and widths that we know:
(note: I will use the square as the reference point, because we can simply say "x" for both of its side lengths--you'll see why this is easier later)
Rug A:
length = x
width = x
Rug B:
length: x + 4
(4 feet greater than rug A length)
width: x - 2
(2 feet less than rug A width)
we can now set these areas to be equal to each other:
(rug A) = (rug B)
(length · width of A) = (length · width of B)
(x · x) = [ (x + 4)(x - 2) ]
So, the equation:
(x + 4)(x - 2) = x · x
can be used to find x (the length in feet) of rug A
hope this helps!! have a lovely day :)
Answer:
x = 5/2 thì y = 35 và x = -5 thì y = 5
Step-by-step explanation:
thay y = 4x + 25 vào phương trình y = 2x ^ 2 + 9x ta có:
4x + 25 = 2x ^ 2 + 9x
⇒2x ^ 2 + 5x - 25 = 0
⇒ x = 5/2 và x = -5
thay x = 5/2 vào phương trình y = 4x + 25 ⇒ y = 4*(5/2) + 25 = 35
thay x = -5 vào phương trình y = 4x + 25 ⇒ y = 4*(-5) + 25 = 5
Answer:
y-5=1/4(x-3)
Step-by-step explanation:
first you need to find the slope.
5-7 over 3-6 = -1/-4 or 1/4
next put into point-slope form.
y-y1=m(x-x1)
or y-5=1/4(x-3)
The second option because the key word is “product” which means multiplication:)
Answer: 25 tickets must be purchased in order for the total cost of carnival M and carnival p are the same.
Step-by-step explanation:
Let x represent the number of tickets that must be purchased in order for the total cost of carnival M and carnival p are the same.
Carnival m charges an entrance fee of 5.00 and .65 per ticket for the rides. It means that the total cost of x tickets at carnival M is
0.65x + 5
Carnival P charges an entrance fee of 10.00 and .45 per ticket for the rides. It means that the total cost of x tickets at carnival M is
0.45x + 10
For the total cost to be the same, the number of tickets would be
0.65x + 5 = 0.45x + 10
0.65x - 0.45x = 10 - 5
0.2x = 5
x = 5/0.2
x = 25