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oksano4ka [1.4K]
3 years ago
13

Match each word problem to the equation that models it. tiles the sum of the squares of two positive integers is 394. if one int

eger is 2 less than the other and the larger integer is x, find the integers.

Mathematics
1 answer:
Dovator [93]3 years ago
6 0
Let
x--------> the larger integer
y-------> the smaller integer

we know that
x²+y²=394-----> equation 1
x=y+2-----> equation 2
substitute equation 2 in equation 1
[y+2]²+y²=394-----> y²+4y+4+y²=394
2y²+4y-390=0

using a graph tool----> to resolve the second order equation
see the attached figure

the solution is
y=13
x=y+2---> x=13+2---> x=15

the answer is
the numbers are 15 and 13

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3 years ago
Possible solution for 4+x+2-2x=5
MrRissso [65]

Answer:

x=1

Step-by-step explanation:

For algebra always start by rewriting it.

4+x+2-2x=5

Then ask yourself is there any like terms we can combine, and here yes there is. 4 and 2 and x and -2x. Now lets combine them and rewrite.

6-x=5

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6-x=5

-6    -6

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Now the two negatives cancel out as you would divide both sides by the coefficient -1 to get positive x alone. We can make this easier by just canceling out the negatives.

Your answer is

x=1

3 0
3 years ago
1. Ten slips of paper labeled from 1 to 10 are placed in a hat. The first slip of paper is NOT replaced before selecting the sec
Oduvanchick [21]
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</span></span><span><span>
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8 0
3 years ago
he data shows the distances, in miles, run by runners in a track club. 6, 3, 8, 8, 6, 6, 8, 2, 5, 2, 5, 10, 3, 5 Create a histog
kakasveta [241]

Answer:

To create a histogram of the given data set, we first must check for the frequency of each value.

6, 3, 8, 8, 6, 6, 8, 2, 5, 2, 5, 10, 3, 5

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Now that we have the frequencies of each, we need to add them to each range.

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Refer to the image for the histogram.

4 0
3 years ago
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