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tino4ka555 [31]
3 years ago
11

To get from home to work every day, Samos drives 7 miles east on Avenue A, and then drives north on Avenue B. He knows that the

straight-lines distance from his hometo his place of work is about 25 miles. How many miles does he drive north on Avenue B?
Mathematics
2 answers:
My name is Ann [436]3 years ago
8 0

Answer:

18 miles

Step-by-step explanation:

7 + x = 25

-7          -7

x = 18

erastova [34]3 years ago
7 0

Answer:

The answer is <u><em>18 miles.</em></u>

Step-by-step explanation:

x is always a good strategy to find missing numbers, so let's use x.

Equation:

7+x=25

25-7=18

7+18-7=18

25-7=18

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Step-by-step explanation:

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3 years ago
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Question number 8. Prove that 3 + √5 is an irrational number.​
Marina86 [1]

Answer :

Let's assume the opposite of the statement i.e., 3 + √5 is a rational number.

\\  \sf \: 3 +  \sqrt{5}  =  \frac{a}{b}   \\  \\   \qquad \: \tiny \sf{(where \:  \: a \:  \: and \:  \: b \:  \: are \:  \: integers \:  \: and \:  \: b \:  \neq \: 0)} \\

\\  \sf \:  \sqrt{5}  =  \frac{a}{b}  - 3 =  \frac{a - 3b}{b}  \\

Since, a, b and 3 are integers. So,

\\ \sf \:  \frac{p - 3b}{b}  \\  \\  \qquad \tiny \sf{ \: (is \:  \: a \:  \: rational \:  \: number \:) } \\

Here, it contradicts that √5 is an irrational number.

because of the wrong assumption that 3 + √5 is a rational number.

\\

Hence, 3 + √5 is an irrational number.

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4 years ago
Kay is 5'2, paul is 4'8, and kevin 5'8. what is the average heigt of the three?
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Select the equivalent expression.<br> 3-5 = ?
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Solve equation by completing the square round to the nearest hundredth if necessary <br> X2-4x-=5
kipiarov [429]

Answer:

x=-1 and x=5

Step-by-step explanation:

we have

x^{2} -4x=5

Solve it by completing the square method

We take the coefficient of x that is -4, divide it by 2 and then square it

so

-\frac{4}{2}=-2

square it

(-2)^2 = 4

Adds 4 both sides

x^{2} -4x+4=5+4

Combine like terms right side

x^{2} -4x+4=9

Rewrite as perfect squares

(x-2)^{2}=9

take square root both sides

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x=2\pm3

therefore

x=2+3=5

x=2-3=-1

6 0
4 years ago
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