Step-by-step explanation:
You just have to plug the numbers they give you into the equation. For the first one, you have 0 + 5y = 10; 5y = 10; y = 2. For the second one, x + 5(0) = 10; x + 0 = 10; x = 10. And lastly, for the third one, x + 5(6) = 10; x + 30 = 10; x = -20.
Answer:
Radius, r = 61 cm
Step-by-step explanation:
According to the attached figure, we have,
Length of chord, AB = 22 cm
Such that, AP = PB = 11 cm
OP = 60 cm
It is required to find the radius of the circle. We know that radius of a circle is perpendicular to chord. So, APO forms a right angled triangle. Using Pythagoras theorem to find the radius of circle. Let it is r. So,

So, the radius of the circle is 61 cm.
Answer: 
Step-by-step explanation:
For this exercise you need to apply the Pythagorean Theorem. This is:

Where "h" is the hypotenuse of the Right triangle and "l" and "m" are the legs.
In this case, you can identify that:

Knowing these values, you can substitute them into
:

Now you must solve for "c":

Evaluating, you get:

To simplify the result:
- Descompose 32 into its prime factors:

- By the Product of powers property, you know that:

- Make the substitution:

- Finally, knowing that
, you get:

Answer:
Step-by-step explanation:
3a-2b=14 multiply by 3
9a - 6b = 42 (1)
4a+3b=13 multiply by 2
8a +6b = 26 (2)
sum up (1) and (2)
17a = 68
a =4
b=-1
Answer:
1st group contains triangles that are similar
Step-by-step explanation:
since its opposite corresponding angle are equal.