All categories

3 years ago

20 POINTS PLEASE HELP!!!!!!!

Mathematics

1 answer:

Stolb23 [73]3 years ago

7 0

Answer is y = 3sin2(x - pi/4).

You might be interested in

Solve for x. 9 4 13.5 x+4

Lady_Fox [76]

Answer:

x = 2

Step-by-step explanation:

The parallel lines divide the transversals into proportional segments, that is

$\frac{x+4}{13.5}$ = $\frac{4}{9}$ ( cross- multiply )

9(x + 4) = 54 ( divide both sides by 9 )

x + 4 = 6 ( subtract 4 from both sides )

x = 2

5 0

3 years ago

(5/6)^4x=(36/25)^9-x, please help solve for x, and the 9-x is all superscript

stiks02 [169]

$\frac{36}{25}=\frac{6^2}{5^2}=\left(\frac{6}{5}\right)^2=\left(\frac{5}{6}\right)^{-2}\\\\therefore:\\\\\left(\frac{5}{6}\right)^{4x}=\left[\left(\frac{5}{6}\right)^{-2}\right]^{9-x}\\\\\left(\frac{5}{6}\right)^{4x}=\left(\frac{5}{6}\right)^{-2(9-x)}\iff4x=-2(9-x)\\\\4x=-2\cdot9-2\cdot(-x)\\\\4x=-18+2x\ \ \ \ \ |subtract\ 2x\ from\ both\ sides\\\\2x=-18\ \ \ \ \ \ |divide\ both\ sides\ by\ 2\\\\\boxed{x=-9}$

$Use:\\a^{-n}=\left(\frac{1}{a}\right)^n\\\\\left(a^n\right)^m=a^{n\cdot m}\\\\\left(\frac{a}{b} \right)^n=\frac{a^n}{b^n}$

6 0

3 years ago

Read 2 more answers

Is he square root of -144 rational or irrational?

gladu [14]

Answer:

Step-by-step explanation:

Neither.

It is a complex number. The - sign is the culprit. sqrt(-144) = i * sqrt(144) = 12 i

The "i" is an imaginary representation for the square root of -1. It is a definition for sqrt(-1). So a new category of number has been created. The ancients would have been profoundly surprised to learn that such a thing existed.

3 0

3 years ago

900 is times as much as 9

Airida [17]

100 x 9 = 900
so

900 / 100 = 9

7 0

3 years ago

Mario invested $6,000 in an account that pays 5% annual interest compounded annually how much will be there after 2.5 years

Liono4ka [1.6K]

Answer:

$48,000

Step-by-step explanation:

$i = \frac{p \times r \times t}{100 } \\ 6000 = \frac{p \times 5 \times 2.5}{100 } \\ 600000 = 12.5 \\ 48000$

6 0

2 years ago