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Alex787 [66]
3 years ago
14

Which number(s) from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, if any, will solve this equation?

Mathematics
1 answer:
8090 [49]3 years ago
8 0
Hello!

You solve this algebraically

2x + 3 = 5x - 3

Subtract 2x from both sides

3 = 3x - 3

Add 3 to both sides

6 = 3x

Divide both sides by 3

2 = x

The answer is A) 2

Hope this helps!
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Find the distance between the points (1,8) and (9, 2).
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Answer:

distance = \sqrt{(x_{1} -x_{2})^2+(y_{1} -y_{2})^2  }\\\\

             =\sqrt{(9-1)^2+(2-8)^2  }\\\\=\sqrt{8^2 + 6^2}\\\\=\sqrt{64 +36 }\\\\=\sqrt{100} = 10units

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Pls can someone help me<br><img src="https://tex.z-dn.net/?f=%20log10%20%5Csqrt%7B36%7D%20%20%2B%20%20%20%20log10%20%20%5Csqrt%7
Firlakuza [10]

Answer:

= log_{10}(\frac{6\sqrt{2} }{\sqrt{7} } )

Step-by-step explanation:

Given the expression log10\sqrt{36} + log10\sqrt{2}  - log10\sqrt{7} \\

According to the law of logarithm;

loga + log b = log(ab) and log a - log b = log(a/b)

The given expression becomes;

log10\sqrt{36} + log10\sqrt{2}  - log10\sqrt{7} \\= log_{10}(\frac{\sqrt{36} \times \sqrt{2} }{\sqrt{7} })\\= log_{10}(\frac{6\sqrt{2} }{\sqrt{7} } )

6 0
3 years ago
Amanda can jog 18 miles in 5 hours.<br> At this rate, how many miles can Amanda jog in 4 hours?
vekshin1

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Read 2 more answers
What values complete each statement?
aliya0001 [1]

For this case we have:

By properties of the radicals \sqrt {a} = a ^{\frac {1} {2}}

So:

(\sqrt {7}) ^ 2 = (7 ^ {\frac {1} {2}}) ^ 2.

Now, for power properties we have:

(b ^ {\frac {c} {d}}) ^ e = b ^ {\frac {c * e} {d}}

Thus, (7 ^ {\frac {1} {2}}) ^ 2 = 7 ^ {\frac {2} {2}} = 7

So:

7 ^ {\frac {1} {2}} = \sqrt {7}in its radical form

Answer:

(\sqrt {7}) ^ 2 = (7 ^ {\frac {1} {2}}) ^ 2= 7 ^ {\frac {2} {2}} = 7 in its simplest form.

7 ^ {\frac {1} {2}} = \sqrt {7}in its radical form


4 0
2 years ago
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