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3 years ago

I need to simplify this problem as much as I can. But I’m confused I just need step for step then the answer

Mathematics

1 answer:

marta [7]3 years ago

3 0

$\bf \textit{Pythagorean Identities} \\\\ sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta )=1-sin^2(\theta ) \\\\[-0.35em] ~\dotfill\\\\ \cfrac{sin^2(\theta )}{1-sin^2(\theta )}\implies \cfrac{sin^2(\theta )}{cos^2(\theta )}\implies \left[ \cfrac{sin(\theta )}{cos(\theta )} \right]^2\implies tan^2(\theta )$

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Write the equation of the graph obtained when the graph of y=1/x is compressed vertically by a factor of 0.25, translated 4 unit

NARA [144]

Answer:

$y=\frac{0.25}{x-4}+3$

Step-by-step explanation:

Notice that we are requested to perform three transformations in order: first a vertical compression (of the variable "y"), second a horizontal shift (affecting therefore the horizontal variable "x"), and lastly a vertical translation (affecting the variable "y")

1) Recall that a vertical compression by a factor 0.25 involves multiplying the full function y(x) by the factor 0.25:

$y=0.25 * \frac{1}{x} \\y=\frac{0.25}{x}$

2) the horizontal translation of 4 units to the right involves subtracting 4 from the variable "x":

$y=\frac{0.25}{x-4}$

3) the vertical translation 3 units up involves adding 3 to the full expression for "y":

$y=\frac{0.25}{x-4}+3$

3 0

3 years ago

10 mm= cm Your answer metric conversions

m_a_m_a [10]

Answer:

1cm

Step-by-step explanation:

1 mm = 1cm

This is Right answer

6 0

4 years ago

Statistics What is the mean of this data? 7, 5, 5, 3, 2, 2

devlian [24]

Answer: 4

Step-by-step explanation:

7+5+5+3+2+2=24

24 ÷ 6 = 4

4 0

3 years ago

Read 2 more answers

A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric

Luden [163]

Answer:

since the total amount of wire is not given, I looked for a similar question:

you have 800 yards of wire at your disposal

since we need to only calculate 3 sides of the land plot, our perimeter will be:

L + 2W = 800

area = L x W

L = 800 - 2W

now we replace:

area = (800 - 2W) x W = 800W - W²

we can write a quadratic equation:

area = -W² + 800W

the vertix of W = -b/2a

the coefficients of our quadratic equation are: -2 and 8

the vertix of W = -800 / (2 x -2) = -800 / -4 = 200 yards

width = 200 yards

length = 800 - (200 x 2) = 400 yards

maximum area enclosed = 200 x 400 = 80,000 sq yards

6 0

3 years ago

Beverly needs to make a container in the shape of a rectangular prism that holds 1000 in3 of liquid. The height of the container

anastassius [24]

Given:
volume = 1,000 in³
height = 10 in

1,000 in³ / 10 in = 100 in² Area.

100 in²

Length Width Surface Area of the Rectangular prism
100 in 1 in 2,220 in²
50 in 2 in     1,240 in²
25 in 4 in    780 in²
20 in 5 in    700 in²


Surface area = 2(wl + hl + lw)

The best dimension is 20 inches by 5 inches by 10 inches. It has lesser surface area than other dimensions. Thus, it can save more materials.

7 0

3 years ago