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andrezito [222]
3 years ago
13

Shayna enlarged a square photo by adding 10 inches to each side so it could be seen on a large poster. The area of the enlarged

photo is 256 square inches. In the equation (x + 10)2 = 256, x represents the side measure of the original square photo.
What were the dimensions of the original photo?
Mathematics
2 answers:
Over [174]3 years ago
8 0
The area of a square is expressed as the length of the side to the power of two, A = s^2. We were given the area of the enlarged photo which is 256 in^2. Also, it was stated that the length of the enlarged photo is the length of the original photo plus ten inches. So, from these statements we can make an equation to solve for x which represents the length of the original photo.

A = s^2
where s = (x+10)
A = (x+10)^2 = 256
Solving for x,
x= 6 in.

The dimensions of the original photo is 6 x 6.
Nimfa-mama [501]3 years ago
3 0

Answer:

6 inches by 6 inches

Step-by-step explanation:

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Which values of x would make a polynomial equal to zero if the factors of the polynomial were (x-5) and (x-6)
meriva

x-5= 0

move -5 to the other side

sign changes from -5 to +5

x-5+5= 0+5

x= 5

x-6= 0

x-6+6= 0+6

x= 6

Answer: B. 5 and 6

5 0
3 years ago
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. IF F(x) = 2(x-3) + 4, what is F(-2)?
Virty [35]
F(x) = 2(x-3) + 4
F(-2) = 2(-2-3) + 4
F(-2) = 2(-5) + 4
F(-2) = -10 + 4
F(-2) = -6

Hope this helps
8 0
3 years ago
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On a certain hot summers day, 648 people use the public swimming pool. The daily prices are $1.50 for children and $2.25 for adu
ehidna [41]

Answer:

252 children and 395 adults

Step-by-step explanation:

Make a linear system of equations, where x represents the number of children and y represents the number of adults

x+y=648

1.50x+2.25y=1269

solve using substitution, so y=648-x,

then substitute this into the second equation, so you get 1.50x+2.25(648-x)=1269,

solve for x and you will get x equals the 252

then substitute this into the first equation, so you get 252+y=648

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3 0
3 years ago
F(x)=x cubed +3x squared -6x-8
svlad2 [7]

Answer: x = {-4, -1, 2}

<u>Step-by-step explanation:</u>

        q                     p

F(x) = x³ + 3x² - 6x - 8

\frac{p}{q} = +/- \frac{1, 2, 4, 8}{1}

Possible rational roots are: +/- {1, 2, 4, 8}

F(1) = (1)³ + 3(1)² - 6(1) - 8

     =  1 + 3 - 6 - 8

     =  -10    <em>Since the remainder is not 0, then x = 1 is not a root</em>

F(-1) = (-1)³ + 3(-1)² - 6(-1) - 8

       = -1 + 3 + 6 - 8

       =  0   <em>Since the remainder is 0, x = -1 is a root.</em>

Use synthetic division to find the remaining factor:

x = -1  →  x + 1 = 0

-1  |  1     3     -6     -8

   <u>|  ↓    -1     -2      8     </u>

      1      2    -8      0

(x + 1)(x² + 2x - 8)  = 0

Next, factor the polynomial:

(x + 1)(x + 4)(x - 2)  = 0  

x + 1 = 0        x + 4 = 0         x - 2 = 0

x = -1              x = -4               x = 2

 


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$30240.96

Step-by-step explanation:

see pic

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