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2 years ago

Which is the equation of the line on the graph below?

Mathematics

2 answers:

finlep [7]2 years ago

7 0

The slope of this graph is 2/1x or 2x, because the line intercepts with a point every time it goes up 2 and right 1 unit. The y-intercept is (0,-2).

We can find the equation using slope intercept form, y=mx+b, when m is the slope and b is the y-intercept. Let's plug the slope and y-intercept into the slope intercept form equation:

y=2x+(-2) or y=2x-2

The answer is B) y=2x-2.

I hope this helps :)

mel-nik [20]2 years ago

3 0

the equation to this graph is y = 2x -2

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Hello people ~

Luden [163]

Cone details:

height: h cm

radius: r cm

Sphere details:

radius: 10 cm

================

From the endpoints (EO, UO) of the circle to the center of the circle (O), the radius is will be always the same.

Using Pythagoras Theorem

(a)

TO² + TU² = OU²

(h-10)² + r² = 10² [insert values]

r² = 10² - (h-10)² [change sides]

r² = 100 - (h² -20h + 100) [expand]

r² = 100 - h² + 20h -100 [simplify]

r² = 20h - h² [shown]

r = √20h - h² ["r" in terms of "h"]

(b)

volume of cone = 1/3 * π * r² * h

===========================

$\longrightarrow \sf V = \dfrac{1}{3} * \pi * (\sqrt{20h - h^2})^2 \ ( h)$

$\longrightarrow \sf V = \dfrac{1}{3} * \pi * (20h - h^2) (h)$

$\longrightarrow \sf V = \dfrac{1}{3} * \pi * (20 - h) (h) ( h)$

$\longrightarrow \sf V = \dfrac{1}{3} \pi h^2(20-h)$

To find maximum/minimum, we have to find first derivative.

(c)

First derivative

$\Longrightarrow \sf V' =\dfrac{d}{dx} ( \dfrac{1}{3} \pi h^2(20-h) )$

apply chain rule

$\sf \Longrightarrow V'=\dfrac{\pi \left(40h-3h^2\right)}{3}$

Equate the first derivative to zero, that is V'(x) = 0

$\Longrightarrow \sf \dfrac{\pi \left(40h-3h^2\right)}{3}=0$

$\Longrightarrow \sf 40h-3h^2=0$

$\Longrightarrow \sf h(40-3h)=0$

$\Longrightarrow \sf h=0, \ 40-3h=0$

$\Longrightarrow \sf h=0,\:h=\dfrac{40}{3}$

maximum volume: when h = 40/3

$\sf \Longrightarrow max= \dfrac{1}{3} \pi (\dfrac{40}{3} )^2(20-\dfrac{40}{3} )$

$\sf \Longrightarrow maximum= 1241.123 \ cm^3$

minimum volume: when h = 0

$\sf \Longrightarrow min= \dfrac{1}{3} \pi (0)^2(20-0)$

$\sf \Longrightarrow minimum=0 \ cm^3$

6 0

1 year ago

Read 2 more answers

Calculate sin B in reduced fraction form. Use a slash to separate numerator from denominator, such as 2/3 for "two-thirds."

Deffense [45]

$\sin B=\dfrac{24}{25}$

4 0

2 years ago

A treatment is administered to a sample of n = 9 individuals selected from a population with a mean of LaTeX: \muμ = 80 and a st

myrzilka [38]

Answer:

none of the above

Step-by-step explanation:

cohen's d= (Mean of population - mean of sample)/ standard deviation of population

0.5 = (80-mean of sample)/12

Mean of sample= 74

5 0

2 years ago

Point K is rotated 90°. The coordinate of the pre-image point K was (2, –6) and its image K’ is at the coordinate (−6, −2). Find

umka21 [38]

Answer:

Hello! The answer to your question will be below.

Step-by-step explanation:

The answer would be clockwise.

So point k was rotated 90 degrees clockwise.....

Review.....

Question:

Point K is rotated 90 degrees. The coordinate of the pre-image point K was (2,-6) and it’s image K’ is at the coordinate (-6,-2).Find the direction of the rotation.

THE DIRECTION OF THE ROTATION WAS CLOCKWISE.

Hope this helps! :)

⭐️Have a wonderful day!⭐️

8 0

2 years ago

In the pattern above what will the 4th figure look like

Naddik [55]

Answer:

I don't know

Step-by-step explanation:

because I don't see the pattern

4 0

2 years ago