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Len [333]
2 years ago
14

Verify the identity. tan (x + pi/2) = -cot x

Mathematics
1 answer:
Leno4ka [110]2 years ago
5 0
\tan\left(x+\dfrac\pi2\right)=\dfrac{\sin\left(x+\frac\pi2\right)}{\cos\left(x+\frac\pi2\right)}=\dfrac{\sin x\cos\frac\pi2+\cos x\sin\frac\pi2}{\cos x\cos\frac\pi2-\sin x\sin\frac\pi2}=\dfrac{\cos x}{-\sin x}=-\cot x
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URGENT!!!!!
Anna11 [10]

h=20w

in one week hector works 20 hours

in two hector works 40 etc


h = hours and w = weeks. the money is just extra information.

h=20w works because if it has been two weeks we substitute the w with the number 2 and can solve

h=20(2)

h=20x2

h=40

This proves that the equation is true

7 0
3 years ago
Use the properties of exponents to rewrite the expression.<br> (-3yz)(-3yz)(-3yz)(-3yz)
Lera25 [3.4K]

Answer:

Answer is 81y^4z^4

Step-by-step explanation:

The expression is (-3yz) (-3yz) (-3yz) (-3yz).

Since all the four terms have power 1:

(-3yz)^1 (-3yz)^1 (-3yz)^1 (-3yz)^1

We know that we can add the powers if the terms have same base

So,

=(-3yz)^1+1+1+1

=(-3yz)^4

=(-3)^4(y)^4(z)^4.

If the power is an even number than the negative sign changes into positive sign.

=3^4y^4z^4

=81y^4z^4

Thus the answer is 81y^4z^4....

3 0
3 years ago
Which of the following functions is graphed below?
sasho [114]

Answer:

2nd choice B.

Step-by-step explanation:

You can use the options A-D to help you eliminate pretty quickly without actually graphing

So first chose says you have the graph on the left when x<1 But you should see our visual actually says we want to include what happens at 1 (the filled dot) so this isn't the answer

Second choice Possible

Third choice... I'm just going to look at one of the parts... x^2+4 for x<=1 says we should have part of a parabola to the left of x=1 (inclusive) but there is not parabola in our visual

Fourth choice: same reason as third choice

Answer is the 2nd

5 0
2 years ago
Ginger wants to join a gym. She goes to the local gym and is told that there is a one-time fee of $100 to join and then a monthl
spin [16.1K]
She has paid $460 after joining the gym for a year. First there is the joining fee of $100. Then $30 a month for a year is 30 x 12 which equals $360.
4 0
3 years ago
Read 2 more answers
Write down the 3rd term in the sequence given by: T(n) = n2 + 4 pls explain how to do It plsss
crimeas [40]

Answer:

T(3) = 13

Step-by-step explanation:

If we are trying to find the 3rd term of this <em>specific </em>sequence, then we simply plug in 3 as n.

T(3) = (3)² + 4

T(3) = 9 + 4

T(3) = 13

However, this isn't proper notation for an arithmetic or geometric sequence.

8 0
3 years ago
Read 2 more answers
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