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lara [203]
3 years ago
13

Find two consecutive positive integers such that the sum of their squares is 421 .

Mathematics
1 answer:
maria [59]3 years ago
4 0
We assume the two numbers are x and (x+1)
so x^2+(x+1)^2=421
x^2+(x^2+2x+1)=421
2x^2+2x-420=0
According to the formula of quadratic 
x=14 or-15
cuz we know the two numbers are integers
so x=14
therefore the other number is 15
To make sure that's correct
14^2+15^2=421

Hope that helps you!!


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Nikki is building a wall for her garden with bricks. each brick is 10 inches long. the bricks are laid end-to-end, and one inch
bearhunter [10]

Answer:

11n-1=120

Step-by-step explanation:

It is given that,

Length of each brick = 10 inches

Mortar between between each brick = 1 inch

For 2 bricks, we need mortar once.

For 3 bricks, we need mortar 2 times.

For 4 bricks, we need mortar 3 times.

Similarly,

For n bricks, we need mortar (n-1) times.

Total length of n bricks = 10n inches

Total length of (n-1) times mortar = 1(n-1) = n-1 inches

Total length of wall = 10n + (n-1) inches.

1 feet  = 12 inches

10 feet = 120 inches

The equation to model the number of bricks,n, nikki needs in each layer to build a wall 10 feet long.

10n+(n-1)=120

11n-1=120

Therefore, the required equation is 11n-1=120.

8 0
3 years ago
Stan and hilda can mow the lawn in 45 min if they work together. if hilda works twice as fast as stan, how long would it take st
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7 0
4 years ago
Which expressions are equivalent when m = 1 and m = 4? 5 m minus 3 and 2 m 5 m 3 m 4 and m 4 2 m 2 m 7 and 3 m minus 3 m 5 m 3 a
emmasim [6.3K]

The expressions that are equivalent when m = 1 and m = 4 is;

Option B: 3m + 4 and m + 4 + 2m

We are given m = 1 and m =4;

A) 5m - 3 and 2m + 5 + m

B) 3m + 4 and m + 4 + 2m

C) 2m + 7 and 3m - 3 + m

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For option B; 3m + 4 and m + 4 + 2m

Let's put m = 1

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Also, 1 + 4 + 2(1) = 7

Similarly, let us put 4 for m to get;

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Also, 4 + 4 + 2(4) = 16

In both cases, the expressions are equivalent and as such option B is the right one.

Read more about algebra simplifications at; brainly.com/question/4344214

4 0
3 years ago
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Ede4ka [16]

-22(-0.2) - [ 2 (0.22)]

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8 0
3 years ago
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Write three expressions that are the equivalent of 5of 100, 000 , first as a numberthen in wordsfinally in scientific notation
disa [49]

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Step-by-step explanation:

To express: 5 of 100, 000 in three expressions (First - number. second - word , third - scientific )

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In scientific notation, 500, 000=5\times10^5

Hence, the required expressions:

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