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V125BC [204]
3 years ago
12

The perimeter of Dawna's new flat screen television is 112 inches. The ratio of its length to width is 4:3. Write and solve an a

lgebraic equation to determine the dimensions of the television. I need to know ASAP!!!
Mathematics
1 answer:
OLEGan [10]3 years ago
5 0

Answer:

The dimensions are length=32 inches and width=24 inches

Step-by-step explanation:

Recall that perimeter of a rectangle is

P  = 2(w + l)

The ratio of its length to width is 4:3.

This implies that,

\frac{l}{w}  =  \frac{4}{3}  \\ l =  \frac{4}{3} w

We substitute P=112 inches, and l in terms of w to get;

112 = 2(w +  \frac{4}{3}w)

56 = w +   \frac{4}{3}w

168 = 3w + 4w

7w = 168

w =  \frac{168}{7}  = 24

The length is

l =  \frac{4}{3}  \times 24 = 32

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You can get this by dividing the original number by 3 and then the new answer by 2. 
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3 years ago
What are the vertex, focus, and directrix of the parabola with the equation x2+8x+4y+4=0
Novay_Z [31]
<span>x2 +8x +4y +4 = 0
</span>4y=<span> -x2 -8x -4</span>y = -.25*x^2 -2x -1
a = -.25b = -2c = -1
x position of vertex:
h = -b / 2a
h = 2 / 2*-.25h = 2 / -.5h = -4
y position of vertex:
k = ah^2 + bh + ck = -.25*-4^2 + -2*-4 + -1k = -4 +8 -1k = 3
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x value of focus =x value of vertex = -4
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y value = (1 (-4 -4*-.25*-1)) / 4*-.25
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Answer is the last one.

7 0
3 years ago
If the area of a rectangle is 144 sq. in. and the length of one side is 18in. what is the length of the other side?
navik [9.2K]

Hello from MrBillDoesMath!

Answer:  The other side has a length of 8

Discussion:

Area of a rectangle = l * w ( length times width). In our case

Area = 144 = l * w = 18 * w =>

18 w = 144  =>

w = 144/18 = 8


Thank you,

MrB

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3 years ago
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Answer:

4/1000

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3 years ago
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