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2 years ago

What is the equation, in slope-intercept form, of the line

1 answer:

7 0

Y= 1/8 x + 10

You do 8-11/-16-8= -3/-24= 1/8 that’s your slope

Then to get y intercept you plug in ur slope and coordinates of (8,11) into point slope form. And you get that the y intercept is 10.

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ASAP someone please answer whether these numbers are irrational or rational and explain.

Temka [501]

Answer:

are you lonly

Step-by-step explanation:

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3 years ago

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Last year there were 205 ducks living on the pond. This year there are 20% more ducks living on the pond. How many ducks are liv

Rus_ich [418]

Answer:

246

Step-by-step explanation:

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2 years ago

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If sin(x) = 5/13, and x is in quadrant 1, then tan(x/2) equals what?

Rufina [12.5K]

$x$ is in quadrant I, so $0$ , which means $0$ , so $\dfrac x2$ belongs to the same quadrant.

Now,

$\tan^2\dfrac x2=\dfrac{\sin^2\frac x2}{\cos^2\frac x2}=\dfrac{\frac{1-\cos x}2}{\frac{1+\cos x}2}=\dfrac{1-\cos x}{1+\cos x}$

Since $\sin x=\dfrac5{13}$ , it follows that

$\cos^2x=1-\sin^2x\implies \cos x=\pm\sqrt{1-\left(\dfrac5{13}\right)^2}=\pm\dfrac{12}{13}$

Since $x$ belongs to the first quadrant, you take the positive root ( $\cos x>0$ for $x$ in quadrant I). Then

$\tan\dfrac x2=\pm\sqrt{\dfrac{1-\frac{12}{13}}{1+\frac{12}{13}}}$

$\tan x$ is also positive for $x$ in quadrant I, so you take the positive root again. You're left with

$\tan\dfrac x2=\dfrac15$

4 0

2 years ago

A spherical balloon has a circumference of 25 cm.

ArbitrLikvidat [17]

Answer:

See below ↓↓

Step-by-step explanation:

Finding the radius

C = 2πr
25 = 2 x 3.14 x r
r = 25 / 6.28
r = 3.98 cm ≅ 4 cm

Surface Area

4πr²
4 x 3.14 x 4 x 4
3.14 x 64
200.96
201 cm²

Volume

4/3πr³ = 4πr² x r/3
201 x 4/3
67 x 4
268 cm³

4 0

1 year ago

What is the area of each semicircle of the following composite figure?

Alina [70]

It will equal 22.5 since you need to multiple

3 0

2 years ago