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Answer:
<h2>(0 , 5) and (0 , 11)</h2>
Step-by-step explanation:
Suppose M(x , y) is a point of the circle of center (6,3) and radius 10 and M is also a point of the y-axis then the coordonates of M should verify these two equations at the same time:

Then
(0-6)² + (y-3)² = 100
then
36 + (y-3)² = 100
then
(y-3)² = 100 - 36
= 64
then
|y-3| = 8
then
y - 3 = 8 or y - 3 = -8
then
y = 11 or y = 5
then the only points that are on the edge of the circle and on y-axis are:
(0 , 5) and (0 , 11).
:)
To solve this problem, we have to find the area of the semi circles and the area of the rectangle and add them up together.
The area of the field is equal to 8719.36m^2
<h3>Area of the Field</h3>
Let us start by finding the area of the rectangle.
Data;
Area of a rectangle is given as

The area of the rectangle is 5504m^2
Area of the semicircle
The formula of a semi circle is given as

But since we have two semi circles here, we can simply multiply it by two and the formula becomes

But in the question, we have the diameter of the semi circle as the length of the rectangle.

The radius of the semicircle is 32m
Area of the semicircle is

The area of the field is

The area of the field is equal to 8719.36m^2
Learn more on area of rectangle and semi circle here;
brainly.com/question/2906652
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Answer:
Step-by-step explanation:
<u>Given:</u>
and
<u>Find g(f(x)), substitute the value of f(x) into equation:</u>
- g(f(x)) = g(2x + 1) = (2x + 1) - 3 = 2x - 2
The option D) x + x+2 + x+4 = 53 represents the exact equation of sum of three consecutive odd integers which is equal to 53.
<u>Step-by-step explanation:</u>
The sum of the three consecutive odd integers = 53
<u>To frame the equation :</u>
- Let us consider any of the three consecutive odd integers.
- Let us take 1,3,5 as the three consecutive odd integers.
Assume the first odd integer as 'x'. In this case, (x=1)
- The second consecutive odd integer is 3.
- The difference between 1 and 3 is 2.
Therefore, the second consecutive odd integer is x+2.
- The third consecutive odd integer is 5.
- The difference between 1 and 5 is 4.
Therefore, the third consecutive odd integer is x+4.
This means that, the sum of any three consecutive odd integers are given as x + x+2 + x+4.
Given that,
Sum of the three consecutive odd integers is 53.
The first odd integer + second odd integer + third odd integer = 53
x + x+2 + x+4 = 53.
The option D) x + x+2 + x+4 = 53 represents the exact equation of sum of three consecutive odd integers which is equal to 53.