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Salsk061 [2.6K]
2 years ago
12

Model 3 + (-4) on the number line

Mathematics
1 answer:
klemol [59]2 years ago
4 0

So all your doing is going 3 jumps to the positive side and 4 jumps to the negative side.

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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
Solve the equation: 98= 3y -4. Please help, please dont put a random answer........ you dont want that to happen to you if you a
AfilCa [17]
The answer is y=34. Hope this helps ;)
8 0
3 years ago
Read 2 more answers
8.
Anni [7]

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6 0
2 years ago
To estimate μ, the mean salary of full professors at American colleges and universities, you obtain the salaries of a random sam
GenaCL600 [577]

Answer:

<h3>73220±566.72</h3>

Step-by-step explanation:

The formula for calculating the confidence interval is expressed as;

CI = xbar ± z*s/√n

xbar is the sample mean =  $73,220

z is the z score at 99% CI = 2.576

s is the standard deviation = $4400

n is the sample size = 400

Substitute the given values into the formula;

CI = 73,220 ± 2.576*4400/√400

CI = 73,220 ± 2.576*4400/20

CI = 73,220± (2.576*220)

CI = 73220±566.72

Hence a 99% confidence interval for μ is 73220±566.72

5 0
2 years ago
5-2x=15<br><img src="https://tex.z-dn.net/?f=5%20-%202x%20%3D%2015" id="TexFormula1" title="5 - 2x = 15" alt="5 - 2x = 15" align
padilas [110]
<span>5-2x=15

</span>5-2x=15 \\  \\ -2x= 15-5  \\  \\ -2x= 10 \\  \\ x=  \dfrac{10}{-2} \to  \boxed{x= -5}<span>
</span>
6 0
3 years ago
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