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Nuetrik [128]
3 years ago
6

Help please ASAP I’m not good at this

Mathematics
1 answer:
stepladder [879]3 years ago
5 0

Answer:

y = 0.7x + 12

Step-by-step explanation:

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The area of a room is 600 square feet. The length is (x + 5) feet and the width is (x + 4) feet. Find the dimensions of the room
tangare [24]
I'm going to assume that the room is a rectangle.

The area of a rectangle is A = lw, where l=length of the rectangle and w=width of the rectangle. 

You're given that the length, l = (x+5)ft and the width, w = (x+4)ft. You're also told that the area, A = 600 sq. ft. Plug these values into the equation for the area of a rectangle and FOIL to multiply the two factors:
A = lw\\
600 = (x+5)(x+4)\\
600 =  x^{2} + 9x + 20


Now subtract 600 from both sides to get a quadratic equation that's equal to zero. That way you can factor the quadratic to find the roots/solutions of your equation. One of the solutions is the value of x that you would use to find the dimensions of the room:
600 = x^{2} + 9x + 20\\
x^{2} + 9x - 580 = 0\\
(x + 29)(x - 20) = 0\\
x + 29 = 0, \:\: x - 20 = 0\\
x = -29, x = 20

Now you know that x could be -29 or 20. For dimensions, the value of x must give you a positive value for length and width. That means x can only be 20. Plugging x=20 into your equations for the length and width, you get:
Length = x + 5 = 20 + 5 = 25 ft.
Width = x + 4 = 20 + 4 = 24 ft.

The dimensions of your room are 25ft (length) by 24ft (width).
8 0
3 years ago
Read 2 more answers
What is the area of this figure?
Anna71 [15]
Hope this can help you

3 0
3 years ago
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If one real number is equal to a second real number, and the second real number is equal to a third real number, then the first
svet-max [94.6K]

Answer: In particular, let’s focus our attention on the behavior of each graph at and around . 2 and x= -1 for x < 2. There are open circles at both endpoints (2, 1) and (-2, 1). The third is h (x) = 1 / (x-2)^2, in which the function curves asymptotically towards y=0 and x=2 in quadrants one and two."

Step-by-step explanation: I think this is the problem ur on

8 0
2 years ago
if a + b + c = 9 and a square + b square + c square = 35 the find the value of ab + bc + ca .​ I am in need of help
Advocard [28]

a+b+c=9 and a2+b2+c2=35 then by using identity

(a+b+c)2=a2+b2+c2+2ab+2bc+2ca,we get the answer 9x9=35+2(ab+bc+ca)

2(ab+bc+ca)=9x9-35

2(ab+bc+ca) =81-35then we get ab+bc+ca=46/2 so ab+bc+ca=23

8 0
2 years ago
Consider the enlargement of the rectangle.
Drupady [299]

Answer:

2.5

Step-by-step explanation:

i did it and got it right

3 0
3 years ago
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