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andreyandreev [35.5K]
3 years ago
5

Erica prints a picture at homeuseing computer software. The photo she prints has a lenth of 6 inches and a width 4 inches. Erica

decides to print the picture in a larger size.The ratio of the size of the new picture to that of the original is 3.5 to 2. What is the length and width of the new photo?​<br />Btw I don't know how to give y'all more points.​
Mathematics
1 answer:
astraxan [27]3 years ago
5 0

the length and width ofthe new photo is 9.5 by 6

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Expand and simplify <img src="https://tex.z-dn.net/?f=%20%283x-2%29%5E%7B2%7D%20" id="TexFormula1" title=" (3x-2)^{2} " alt=" (3
Rus_ich [418]
You can just 1) multiply the binomial by itself, or you can use 2) the square of a binomial pattern. I'll show it to you both ways.

1) Multiply the binomial by itself.

(3x - 2)^2 = (3x - 2)(3x - 2) =

Multiply every term of the first binomial by every term of the second binomial, then collect like terms. (This is often called using FOIL.)

= 9x^2 - 6x - 6x + 4

= 9x^2 - 12x + 4

2) Use the square of a binomial pattern

The square of a binomial is

(a - b)^2 = a^2 - 2ab - b^2

a^2 is the square of the first term.
b^2 is the square of the second term.
-2ab is the product of the two terms and 2.

You have

(3x - 2)^2,
where the first term is 3x, and the second term is -2

square the first term: 9x^2
square the last term: 4
the product of the terms and 2 is: -12x

Put it all together, and you get

9x^2 - 12x + 4

just like we got above with the other method.
7 0
3 years ago
The time, T (seconds) it takes for a pot of water to boil is inversely proportional to the cooker setting, H, applied to the pot
kherson [118]

Answer:

200

Step-by-step explanation:

T = x * (1/H)

x = T*H

x = 2800

so for H = 14

T = 2800 * (1/14) = 200

7 0
3 years ago
What is the greatest common factor of the terms of the polynomial below? 8x^4 - 12x^3 + 20x^2
Daniel [21]

Answer: I think the greatest common factor is 4x^2

Step-by-step explanation:

Find the numerical common factors. Which are 8, -12, and 20. Find the variable common factors for x^4, x^3, and x^2. Multiply them together. Then break down the factors on both sides and pick the biggest one. Finally multiply them together. (I’m sorry, I’m very bad at explaining things.)

7 0
2 years ago
Solve this equation for x in terms of y and z: 6x+10y+8z=60. What is the value of x when y=2 and z=-3? Round your answer to the
ioda

Answer:

x=2.66

Step-by-step explanation:

6x=60-10y-8z

x=(60-10*2-8*3)÷6

x=(60-20-24)/6=16/6=2.66

5 0
2 years ago
Jelly has Five and six hundred twenty thousandths yards of batting to put into a quilt what is the number in standard form
Juli2301 [7.4K]
(1x0.1)+(5x0.01)+(6x0.001)
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2 years ago
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