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2 years ago

The function f(x)=2^x and g(x)=f(x)+k if k=2 what can be concluded about the graph of g(x)?

Mathematics

1 answer:

tester [92]2 years ago

8 0

The graph of g(x) = f(x-5) is the graph of y = f(x) translated 5 units to the right.

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Need help with trigonometry

vovangra [49]

Answer:

$\sf \tan(A) & =\dfrac{9\sqrt{22}}{44}$

Step-by-step explanation:

If angle C is the right angle, then side c is the hypotenuse.

Use Pythagoras' Theorem $a^2+b^2=c^2$ to find the length of side a:

Given:

b = 2√22
c = 13

$\implies a^2+(2 \sqrt{22})^2=13^2$

$\implies a^2+88=169$

$\implies a^2=81$

$\implies a=\sqrt{81}$

$\implies a=9$

<u>Tan Trig Ratio</u>

$\sf \tan(\theta)=\dfrac{O}{A}$

where:

$\theta$ is the angle
O is the side opposite the angle
A is the side adjacent the angle

Given:

$\theta$ = A
O = side opposite angle A = a = 9
A = side adjacent angle A = b = 2√22

$\begin{aligned}\implies \sf \tan(A) & =\dfrac{9}{2\sqrt{22}}\\\\ & =\dfrac{9}{2\sqrt{22}} \times \dfrac{\sqrt{22}}{\sqrt{22}}\\\\ & = \dfrac{9\sqrt{22}}{44} \end{aligned}$

6 0

2 years ago

Read 2 more answers

2. a. The center for research in data science has a vacancy of 5 interns under a research attachment program. However, 20 studen

Yuliya22 [10]

Answer: 15504

Step-by-step explanation:

Given : The center for research in data science has a vacancy of 5 interns under a research attachment program.

Number of students applied = 20

The combination of n people taking r at a time is given by :-

$C(n,r)=\dfrac{n!}{r!(n-r)!}$

Since, all students fulfill the minimum CGPA criteria it means all 20 students are equally eligible.

Then , the number of ways to select a team of 5 interns from all 20 interns :-

$C(20,5)=\dfrac{20!}{5!(20-5)!}\\\\=\dfrac{20\times19\times18\times17\times16\times15!}{5!15!}\\\\=15504$

Hence, the number of ways to select a team of 5 interns. =

7 0

3 years ago

Select all the correct answers.

lara31 [8.8K]

Answer:

B i think

Step-by-step explanation:

i think its B because all the other ones don'e look right. hope its correct. :)

3 0

2 years ago

Read 2 more answers

Helppppppoppp please 10 points !!!

Evgesh-ka [11]

Answer:

2x+27+x+27=180

3x+54=180

3x=180-54

x=126/3

x=42

angle B=x+27

=42+27

=69 degree

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

HELP I HAVE ONLY 1 MIN TO ANSWER IT HELP(((((((&&&&

LenKa [72]

Answer:

the one you have marker is correct

Step-by-step explanation:

5 0

2 years ago