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soldier1979 [14.2K]
3 years ago
15

Is (-3, 2) a solution of 72 +9y > -3?

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

Answer:

yes, (-3, 2) is a solution

Step-by-step explanation:

72 + 9y > - 3

9y > - 72 - 3

9y > - 75

y > - 75/9

y > - 25/3

y > - 8. (3)

y ∈ (-8.0(3) ; +oo)

(-3, 2) ⊂ (-8.0(3) ; +oo)

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10 points
ollegr [7]

Answer:

FC=25.9

Step-by-step explanation:

<u>Congruent Triangles</u>

The figure shows two triangles FCD and FED. One of their sides is the radius of the circle, they both form a 90° angle with the line CD and ED and they share the same segment FD.

Thus, both triangles are congruent and we have the length of a side (12 units), one common side (the hypotenuse) and one unknown leg that must be equal. Therefore

13x-16=4x+11

Solving

9x=27

x=3

The required side FD is the hypotenuse of any of the triangles. The unknown leg can be calculated by

13x-16=23

Or

4x+11=23

Thus

FD^2=12^2+23^2=673

Solving

FD=\sqrt{673}

\boxed{FC=25.9}

5 0
3 years ago
How to solve the problem step by step
vlada-n [284]

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3 years ago
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