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Tanya [424]
3 years ago
8

5m=105 what is m in the equation

Mathematics
1 answer:
julsineya [31]3 years ago
4 0

Answer:

m = 21

Step-by-step explanation:

5m = 105

5m ÷ 5 = 105 ÷ 5

m = 21

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Point R is the midpoint of line segment XY. If XR=3n+1 and YR=16-2n, what is the length of line segment XY?
Kitty [74]
1) 3n+1=16-2n - add 2n to both sides - you should now be left with 5n+1=16 (remember the 2n gets canceled out) - subtract 1 from both sides - you should now be left with 5n=15 - now you divide by 5 to get n by itself - 15 divided by 5 is 3 - n=3 2) substitute n with 3 in to the original equation - so 3n+1=16-2n now becomes 3(5)+1=16-2(3) - you should get 10 for both so 10=10 3) according to the segment addition postualte , XR + YR = XY. - add 10+10 which stands for the lengths of XR and YR Answer - XY = 20
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Step-by-step explanation:

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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
3 years ago
Write the equation of a circle with a center at (-2, 3) and a radius of 4.
Ivan

Answer:

The equation of a circle:

(x+2)^2+(y-3)^2 = 16

Step-by-step explanation:

The equation of a circle:

(x-h)^2+(y-k)^2 = r^2

(where the center is known as (h,k) and the radius, known as r).

-Since you already have the center and the radius, use them for the equation of a circle:

Center: (-2,3)

Radius: 4

(x+2)^2+(y-3)^2 = 4^2

After you have the equation of a circle, simplify the radius by the exponent 2 :

(x+2)^2+(y-3)^2 = 16

So, you have found the equation of a circle.

5 0
3 years ago
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