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Luba_88 [7]
2 years ago
5

1.

Mathematics
1 answer:
mars1129 [50]2 years ago
5 0

Answer:

Step-by-step explanation:

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I am really confused about this question for math.. any help would be really appreciated:
Elina [12.6K]

y= (\frac 1 4 )^x

A reflection about the x axis, about y=0, is the mapping (x',y')=(x,-y) so

y'= -y = - (\frac 1 4)^{x'}

A dilation of 2 is the mapping (x'',y'')=(2x', 2y')

So

x'=x''/2, y'=y''/2

y''/2= - (\frac 1 4)^{x''/2}

y'' =  - 2((\frac 1 4)^{1/2})^{x''}

y''= - 2(\frac 1 2)^{x''}

We can rewrite that without the primes and combine the powers of 2.

y =  - 2^{1-x}

Let's graph these and see if we're close,

Plot y= (1/4)^x, y= - (1/4)^{x}, y = - 2^{1-x}

6 0
3 years ago
A right triangle has side lengths 7, 24, and 25 as shown below.
Alla [95]

9514 1404 393

Answer:

  • tan(A) = 7/24
  • sin(A) = 7/25
  • cos(A) = 24/25

Step-by-step explanation:

The mnemonic SOH CAH TOA can help you remember the trig ratios:

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

  Tan = Opposite/Adjacent

With respect to angle A, the sides are Adjacent = 24; Opposite = 7, Hypotenuse = 25. Then the desired trig ratios are ...

  tan(A) = 7/24

  sin(A) = 7/25

  cos(A) = 24/25

5 0
2 years ago
An angle measures 44° less than the measure of its complementary angle. What is the measure of each angle?
ryzh [129]

a+b=90°

a=b+44°

b+44°+b=90°

2b+44°=90°

2b=90°-44°

2b=46°

b=23°

a=23°+44°

a=67°

8 0
2 years ago
Solve for r. 0.5(r+2.75) = 3
nirvana33 [79]

Answer:

r=3.25

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Use trigonometric identities to solve each equation within the given domain.
Softa [21]

Answer:

A) X=pi/2 or X=-pi/2

B) X=pi/6 or X=-pi/6

C) X=pi/4 , 3pi/4, 5pi/4 and 7pi/4

D) X= 1-cos^2(x/2)

E) X= pi/3 +2pi N, 5pi/3+2pi N

Step-by-step explanation:

Don't even bother asking. :)

3 0
3 years ago
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