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OLEGan [10]
3 years ago
9

Circle a has a radius of 3 and circle b has a radius of 11. if the idstance between the center of the circles in 17, find the le

ngth of the common external tangent
Mathematics
1 answer:
Andrews [41]3 years ago
3 0
Use Pythagorean Theorem:
a² + b² = c²
"a" is one side of the right triangle.
Its length is: radius of larger circle minus radius of smaller circle: (11 - 3 = 8)
The distance between the center of the circles creates the hypotenuse (17)
8² + b² = 17²
       b² = 225
       b = 15

Answer: the length of the common external tangent is 15.

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Use the rule x + 7 to find the missing number in the table.
dexar [7]

Step-by-step explanation:

<u>Given:</u>

  • Rule, x + 7.
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The rule is telling us to add 7 to the given value of x.

Add 7 to 12.

7 + 12 = 19

The missing number is 19.

3 0
2 years ago
If the range of f(x)= square root mx and the range of g(x)=m square root x are the same, which statement is true about the value
AveGali [126]
M can be any positive real number.

Explanation:

From f(x) = √(mx) ; if x is posive m has to be positive; if x is negative m has to be negative; if x is cero m can have any value, and the range will always be 0 or positve

From g(x) = m √x; x can only be 0 or positive and the range will have the sign of m.

Given we concluded that the range of f(x) can only be  0 or positive, then me can only be 0 or positive. 
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3 years ago
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snow_tiger [21]
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7 0
3 years ago
Which value is the best estimate for 6√10
garik1379 [7]

Answer:

18.97366596

Step-by-step explanation:

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3 0
3 years ago
Please help, thanks.​
Liula [17]

Answer:

\frac{ - 5}{54}  +  \frac{5 \times 6}{9 \times 6}  =  \frac{ - 5 + 30}{54}  =  \frac{25}{54}

\frac{15}{4}   \div  \frac{3}{8}  =  \frac{15}{4}  \times  \frac{8}{3}  =  10

10 \times  \frac{25}{54}  =  \frac{250}{54}  = 4 \times \frac{17}{27}

b )

4 \times \frac{17}{27}  =  \frac{125}{27}  =

cube root =

\frac{5}{3}

c ) square root

\frac{125}{27}  =  \frac{ \sqrt{25 \times 5} }{ \sqrt{3 \times 9} }  =  \frac{5 \sqrt{5} }{3 \sqrt{3} }

3 0
3 years ago
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