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Tpy6a [65]
2 years ago
5

Alarger number is 2 more than 4 times a smaller number. The larger number is also 8 more than 2 times the smaller number. 4x+2 y

2x+8 What is the value of the smaller number in the mathematical problem?​
Mathematics
1 answer:
Umnica [9.8K]2 years ago
3 0

Answer:

the value of the smallest number is 3

Step-by-step explanation:

The computation of the value of the smaller number is shown below:

Given that

y = 4x + 2

y = 2x + 8

Now equate these two equations

4x + 2 = 2x + 8

4x - 2x = 8 - 2

2x = 6

x = 3

Hence, the value of the smallest number is 3

The same is to be considered

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A rectangle with a length of L and a width of W has a diagonal of 10 inches. Express the perimeter P of the rectangle as a funct
KatRina [158]
<h2>Answer:</h2>

The expression which represents the perimeter P of the rectangle as a function of L is:

          Perimeter=2(L+\sqrt{100-L^2})

<h2>Step-by-step explanation:</h2>

The length and width of a rectangle are denoted by L and W respectively.

Also the diagonal of a rectangle is: 10 inches.

We know that the diagonal of a rectangle in terms of L and W are given by:

10=\sqrt{L^2+W^2}

( Since, the diagonal of a rectangle act as a hypotenuse of the right angled triangle and we use the Pythagorean Theorem )

Hence, we have:

10^2=L^2+W^2\\\\i.e.\\\\W^2=100-L^2\\\\W=\pm \sqrt{100-L^2}

But we know that width can't be negative. It has to be greater than 0.

Hence, we have:

W=\sqrt{100-L^2}

Now, we know that the Perimeter of a rectangle is given by:

Perimeter=2(L+W)

Here we have:

Perimeter=2(L+\sqrt{100-L^2})

7 0
3 years ago
How do you create common denominator so you can compare fractions ​
Fofino [41]
Find a common denominator by multiplying the denominators together. Use that common denominator to create equivalent fractions. Then, compare the numerators to figure out which is bigger
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3 years ago
Please help me!!! I'm lost tap the attachment​
BabaBlast [244]

Answer:

Below.

Step-by-step explanation:

I'll do number 20, 21, 22 for you.

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21.   Reflected over the x-axis and down 4.

22. Common ratio = 25/5 = 5.

23.  Imaginary roots occur in pairs so there is also a root -5i.

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3 years ago
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Hope this answer is helpful for you

7 0
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Tresset [83]

Answer:

2s + 4

Step-by-step explanation:

use the distributive property:

1/4 (8z + 16)

2s + 4

Done!

8 0
2 years ago
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