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adell [148]
3 years ago
5

Prove the identity sin^2theta x csc^2 theta = sin^2 theta + cos^2 theta 20 points!!

Mathematics
1 answer:
morpeh [17]3 years ago
8 0

Answer:

Step-by-step explanation:

sin² Θ csc² Θ =sin² Θ + cos² Θ

sin² Θ 1/sin² Θ = sin² Θ + cos² Θ

1 = sin² Θ + cos ² Θ (this is a trig identity)

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If f(x) =5x-25 and g(x) = (1/5)X+5, which expression could be used to verify g(x) is the inverse of f(x)
mina [271]
Answer:
f(g(x)) = x

Explanation:
In order to prove that one function is the inverse of the other, all you have to do is substitute in the main function with the inverse one and solve. If the result is x, then it is verified that one function is the inverse of the other. 
Now for the given functions we have:
<span>f(x) =5x-25
</span><span>g(x) = (1/5)x+5
We want to prove that g(x) is the inverse of f(x).
Substitute in the above formula and compute the result as follows:
f(g(x)) = 5(</span>(1/5)x+5) - 25
          = x + 25 - 25
          = x
The final result is "x", therefore, it is verified that g(x) is the inverse of f(x)

Hope this helps :)
7 0
3 years ago
Read 2 more answers
Use the slider to change the value of h. How does changing the value of h affect the vertex?
vodka [1.7K]
It moves the line on the X axis to a different spot when moved

hope this helps <span />
3 0
3 years ago
Read 2 more answers
Integers between -1and -5​
egoroff_w [7]
-2, -3, -4.

an integer is a number that isn't a fraction. so literally any natural number like 1, 0, or -1. all integers.
5 0
3 years ago
Help me answer this question about congruent triangles. 50 points available.
Anuta_ua [19.1K]

Answer:

B

Step-by-step explanation:

No these triangles are not congruent.

<u>Left triangle</u>

Shortest side = 6 cm

Longest side = 13 cm

3rd side = unknown but < 13

<u>Right triangle</u>

Shortest side = 6 cm

Longest side = unknown but > 13

3rd side = 13 cm

Although the shortest side of both triangles is 6 cm, the longest side of the left triangle is 13 cm, whereas the longest side of the right triangle is unknown but will be more than 13 cm.

We do not know if any of the angles are congruent.  If they were congruent, we would expect to see this marked by the same angle line(s) on each triangle.

3 0
2 years ago
If both diagonals of a quadrilateral bisect each other when is the quadrilateral a parallelogram?
slamgirl [31]
It is more than just a quadrilateral. In fact it is going to be hard to pick.

These facts suit a square,  a rectangle, a rhombus, and a parallelogram. And the above statement is true, but maybe a little harder to prove than the converse of the statement, which is the usual one you find.

The converse is "If you have a parallelagram, the diagonals bisect each other."

You might think a trapezoid deserves some mention. The diagonals of a trapezoid do not bisect each other.
6 0
3 years ago
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