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user100 [1]
3 years ago
5

A square rug lies in the middle of a rectangular room. There are 7 feet of uncovered floor on 2 sides of the rug and 2 feet of u

ncovered floor on the other 2 sides. Find a polynomial expression for the area of the room in terms of x, the side length of the rug.
Mathematics
1 answer:
anygoal [31]3 years ago
8 0
A = lw 


<span>A=(x+10)(x+12) 
</span>

<span>A=x²+22x+120</span>
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For what values of x does 25 Superscript x Baseline = 5 Superscript x squared minus 3?
umka2103 [35]

For this case we have the following equation:

25^{x} = 5^{ x^2-3}

Rewriting we have:

5^{2 (x)} = 5^{ x^ 2-3}\\5^{ 2x} = 5^{ x^ 2-3}

For expressions to be equal, exponents must be equal. So:

2x = x ^ 2-3\\x ^ 2-2x-3 = 0

To factor, we look for two numbers that, when multiplied, result in -3 and when added, result in -2. These numbers are -3 and 1.

(x-3) (x + 1) = 0

Thus, the roots are:

x_ {1} = 3\\x_ {2} = - 1

Answer:

x_ {1} = 3\\x_ {2} = - 1

8 0
4 years ago
18.25=4(1.5-3.75x)-.25(4x-5) wat is x?
sdas [7]
The answer is x= - 11/ 16
You can check this by plugging in x for -11/16



5 0
3 years ago
Describe and correct the error a student made in finding the midpoint cd with c(-4,5) and d(-1,-4).
Gnesinka [82]

Answer:

Step-by-step explanation:

The formula for finding the midpoint of two coordinates is expressed as;

M(X,Y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})

Given the coordinates c(-4,5) and d(-1,-4), x1 = -4, y1 = 5, x2 = -1 and y2 = -4.

For the X coordinate of the midpoint

X = x1+x2/2

X = -4+(-1)/2

X = -4-1/2

X = -5/2

X = -2.5

Similarly for Y:

Y = y1+y2/2

Y = 5+(-4)/2

Y = 5-4/2

Y = 1/2

Y = 0.5

Hence the midpoint coordinate of C(-4,5) and D (-1,-4) is (-2.5, 0.5)

5 0
3 years ago
In ΔVWX, v = 390 inches, w = 390 inches and x=500 inches. What is the sum of ∠Vand∠W?
Stolb23 [73]
The answer would be 390+ 390 =780
6 0
3 years ago
X = 18 is a solution to this equation X + 79 = 98 Question 4 options: True False
deff fn [24]
X+79=98 (subtract 79 to isolate x)
X=19 so it is false
7 0
3 years ago
Read 2 more answers
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