Answer:
Slope: 2
a: 5
b: 6
y-coordinate when x = 0: -2
Step-by-step explanation:
To find the slope, you need to divide the change in the y values between two points on a line by their change in x values. The two complete points given are (6, 10) and (2, 2), so doing this for them would be...
(10-2)/(6-2) = 8/4 = 2, so your slope is 2
To find a, you must use this slope by counting from one of the points. For every one you go to the right, you go up two. So, how many times do you need to go up 2 (slope), from 2 (starting point's y coordinate), to get to 8 (target point's y coordinate)? (8-2)/2 = 6/2 = 3, so 3 times. Add that to 2 (starting point's x coordinate) to get 5, so a is 5.
To find b, you can just use (6, 8). You know you're going to the LEFT one, so you must go DOWN 2. Subtract 2 from 8 to get 6.
For the last question, do the same with (2, 2). You're going LEFT 2, so you're going DOWN 4. Subtract 4 from 2 to get -2.
Let me know if you need a more in-depth explanation on any part of this!
Think of it like a triangle.
The flagpole is vertical and is at 90° to the ground. This makes a right-angle to the ground, which is flat.
Since we have two sides of the triangle already, and they are in a ratio of ?? : 16 : 20 = ?? : 4 : 5, that means that because the triangle is a right-angled triangle, the third and last side must be 3 to complete the ratio! (This is called 'Pythagoras')
Since the other sides were divided by 4 to get the simple ratio, we must multiply 3 to get the actual ratio!
3 × 4 = 12 ft tall flagpole.
Here is all the work with it
So your equation is

. You need to simplify this answer.
So first off, do 2x times 2x.
2 x 2 = 4.
Your equation is now

You're already off to a great start, so now let's add 4x + 7x. It is 11x.
Your equation is almost done! It's

right now.
Divide both sides by 11, and your answer is...
0.36363636 and so on, or you can round to the nearest hundreth, in which it will be
0.36.
I hope I helped!
I think you would use the Pythagorean Theorem to solve this, as a square cut across diagonally creates two isocele triangles. Since the longest side is 20 m, this value would be imputed into c^2.
a^2 + b^2 = c^2
a^2 + a^2 = 20^2
2a^2 = 400
2a^2/2 = 400/2
a^2 = 200
a = 14.14
Thus, each sides of the playground are 14.14 meters long.