The full solution is attached below.
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Answer:
(0,2)
Step-by-step explanation:
The y intercept is where the graph crosses the y axis ( where x=0)
The graph crosses the y axis at y=2
(0,2)
Answer:

Step-by-step explanation:
In order to solve this problem, one must use the trigonometric ratios. These ratios are the following,

Remember, each side is named relative to the angle, thus sides will attain different names depending on the angle which one sues to calculate with.
In this case, one is given the measure of the angle, and the measure of the side opposite to the angle. One is asked to find the measure of the side adjacent to the angle. Use the trigonometric ratio (
) to solve for the unknown. Substitute in the given values,

Manipulate the equation such that it is solved for the parameter(x),

Solve,

Answer:
Step-by-step explanation:
Since we are to show by Pythagoras that the square will fit inside the circle without touching the edge of the circle , this means that we must find the value of the length of the diagonal of the square using Pythagoras.
For the square to fit in without touching the edge of the circle , this means that the diagonal of the square must be less than the diameter of the circle.
Length of the square is 5cm.
Recall Pythagoras theorem: it states that
the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides
= +
= 25 + 25
= 50
Take the square root of both sides , that is
D =
D = X , since 50 = 25 x 2
D = 5
D ≈ 7.07
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