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crimeas [40]
3 years ago
5

Write the equation of a circle with center M(2,6) and a radius of 4

Mathematics
1 answer:
ycow [4]3 years ago
7 0

Answer:

(x -2)^2 + (y-6)^2 = 16

Step-by-step explanation:

The equation of a circle is of the form

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

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

(x- 2)^2 + (y-6)^2 = 4^2

(x -2)^2 + (y-6)^2 = 16

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A 25% vinegar solution is combined with triple the amount of a 45% vinegar solution and a 5% vinegar solution resulting in 20 mi
Murrr4er [49]

Complete Question: A 25% vinegar solution is combined with triple the amount of a 45% vinegar solution and a 5% vinegar solution resulting in 20 milliliters of a 30% vinegar solution.

Write an equation that models this situation and explain what each part represents in the situation. Then solve the equation.

Step-by-step explanation:

let the volume of the 45% vinegar solution be x litres ,

the volume of the 25% vinegar solution be 3x

and the volume of the 5% vinegar solution be y

summation of all gives,

x+3x+y = 20

4x + y = 20

subtracting 4x from both sides to make y the subject of the equation, we have;

y = 20 - 4x

To the concentration:

substituting for the value of x and y into equation x + 3x + y = 20, we have,

.45x + .25(3x) + .05(20-4x) = .3(20)

multiplying through by 100  to make whole figures we have;

45x + 25(3x) + 5(20-4x) = 600

45x + 75x + 100 - 20x = 600

120x - 20x + 100 = 600

100x + 100 = 600

subtracting 100 from both sides, we have;

100x = 600 - 100

100x = 500

dividing both sides by 100,

x = 5.

7 0
3 years ago
What is the value of the expression 9+4n-1 when n = 3?
Nookie1986 [14]
First you multiply 4*n and n=3 so 4*3 = 12
then you have 9+12-1
9+12= 21
21-1=20

so your answer would be 20
3 0
3 years ago
Read 2 more answers
23=4w_13 simply your as much as possible
Nataly_w [17]
23=4w-13
First add 13 to both sides.
36=4w
w=9
Hope this helps!
5 0
3 years ago
Read 2 more answers
Find the area giving brainlieas
Lelu [443]

Answer: 6.5 in

Step-by-step explanation:

Given the information we have, we first need to turn this into a parallelogram. So, now that we have a parallelogram, we need to find the area of that and divide it by two. So 3 1/4 x 4 = 13

So now that we have the area of the square, we need to divide it by two. \frac{13}{2} = 6.5.

So our answer is <u>6.5 in</u>

7 0
2 years ago
A baker bought a total of 12 pounds of apples and bananas for $10.20.
vodomira [7]
The baker definitely is in hit
3 0
3 years ago
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