Write the equation for the circle with center (1, 1) and radius 5.

Mathematics

1 answer:

zepelin [54]3 years ago

4 0

The answer is C
(x-h)^2 + (y -k)^2 =r^2
Center (h,k) r = radius

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A positive integer is twice another.the sum of the reciprocal of the two positive integer is 3/14. Find the integers

icang [17]

Answer:

$\huge\boxed{14\ \text{and}\ 7}$

Step-by-step explanation:

$n,\ m-\text{positive integer}\\\\n=2m-\text{a positive integer is twice another}\\\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}-\text{the sum of the reciprocal of the two positive integer is }\ \dfrac{3}{14}\\\\\text{We have the system of equations:}\\\\\left\{\begin{array}{ccc}n=2m&(1)\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}&(2)\end{array}\right$

$\text{Substitute (1) to (2):}\\\\\dfrac{1}{2m}+\dfrac{1}{m}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{1\cdot2}{m\cdot2}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{2}{2m}=\dfrac{3}{14}\\\\\dfrac{1+2}{2m}=\dfrac{3}{14}\\\\\dfrac{3}{2m}=\dfrac{3}{14}\Rightarrow2m=14\qquad\text{divide both sides by 2}\\\\\dfrac{2m}{2}=\dfrac{14}{2}\\\\\boxed{m=7}$

$\text{Substitute it to (1):}\\\\n=2\cdot7\\\\\boxed{n=14}$

8 0

2 years ago

On a 16 scale drawing of a bike, one part is 3 inches long. How long will the actual bike part be?

Arisa [49]

You would multiply 16*3 to get an estimate.
16*3= 48
The bike would be about 48 units.
I'm assuming you mean a 16:1 scale.
16:1= 16/1 which =16
Hope this helps!

4 0

2 years ago

Read 2 more answers

2m² + 10 for m = -6<br><br><br> Help please

lbvjy [14]

Answer:

Step-by-step explanation:

2×m²+10

m²= -6×-6=36

36×2=72+10=82

7 0

2 years ago