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3 years ago

Find the value of the variable.

Mathematics

1 answer:

saw5 [17]3 years ago

5 0

Answer:

PLZ HELP

Step-by-step explanation:

Circle A is located at (6, 5) and has a radius of 4 units. What is the equation of a line that is tangent to circle A from point C (2, 8)?

x = 2

y = −0.75x + 9.5

y = 1.33x + 1.66

x = 8

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If the numerator of a fraction is increased by six, the value of the fraction will increase by one. If the denominator of the or

Alchen [17]

Answer:

$\dfrac{7}{6}$

Step-by-step explanation:

Let $\dfrac{a}{b}$ be the original fraction.

If the numerator of a fraction is increased by six, the value of the fraction will increase by one. Hence,

$\dfrac{a+6}{b}=\dfrac{a}{b}+1$

If the denominator of the original fraction is increased by 36, the value of the original fraction will decrease by one. Hence,

$\dfrac{a}{b+36}=\dfrac{a}{b}-1$

Add these two equalities:

$\dfrac{a+6}{b}+\dfrac{a}{b+36}=\dfrac{a}{b}+1+\dfrac{a}{b}-1\\ \\\dfrac{a+6}{b}+\dfrac{a}{b+36}=2\dfrac{a}{b}\\ \\\dfrac{a}{b+36}=\dfrac{2a-(a+6)}{b}\\ \\\dfrac{a}{b+36}=\dfrac{a-6}{b}\\ \\ab=(a-6)(b+36)\\ \\ab=ab+36a-6b-216\\ \\36a-6b-216=0\\ \\6a-b-36=0\\ \\b=6a-36$

Substitute it into the first equation:

$\dfrac{a+6}{6a-36}=\dfrac{a}{6a-36}+1\\ \\\dfrac{a+6}{6(a-6)}=\dfrac{a}{6(a-6)}+1\\ \\a+6=a+6(a-6)\\ \\a+6=a+6a-36\\ \\6a=6+36\\ \\6a=42\\ \\a=7\\ \\b=6\cdot 7-36=42-36=6$

Thus, the initial fraction was

$\dfrac{7}{6}$

6 0

4 years ago

the student council at seaside highschool is making t-shirts to sell for a fundraiser at a price of 13 dollars a piece the cost

ankoles [38]

Answer:

299

Step-by-step explanation:

5 0

3 years ago

What is the x-value that correlates with 2010 (remember 1979 was when x=0)?

LiRa [457]

Answer:

Step-by-step explanation:

although we cannot see the whole graph, I assume it would be 31 because

2010-1979 is 31

and the x values are years after 1979

4 0

3 years ago

Zero property x(2x-1)(x-3)=0

Vinil7 [7]

Answer:

x= 0, 1/2, and 3

Step-by-step explanation:

x=0

2x-1=0----> 2x=1 -------> x= 1/2

x-3=0 -----> x=3

Hope this helps

3 0

3 years ago

What is the product of 7 1/2 and 5 1/2

Juli2301 [7.4K]

The answer is 41.25
hope this helps

8 0

4 years ago

Read 2 more answers