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3 years ago

5

Y =cos((2pi/3) x )+2 what is the midline equation? y=?

1 answer:

lara [203]3 years ago

7 0

Answer:

$y=2$

Step-by-step explanation:

In $y=a\cos(bx-c)+d$ , $d$ represents the vertical shift. The midline of the function is given by $y=d$ , because the parent function $y=\cos x$ has a midline at $y=0$ . Therefore, the midline of the function $y=\cos (\frac{2\pi}{3}x)+2$ is $\boxed{y=2}$

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In general, what can you conclude about a pair of angles that are both congruent and supplementary?

dem82 [27]

Answer:

Both angles are right angles.

Step-by-step explanation:

Supplementary angles sum to 180°. Since we know that both angles are congruent, let's call them x and x. We can write the following equation:

x + x = 180

2x = 180

x = 90°

Therefore, we can conclude that both angles are right angles.

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3 years ago

Read 2 more answers

Bill $42 , tax 9% , tip 18%

STatiana [176]

Answer:

Tax 3.78 $ and tip 7.56 $

Step-by-step explanation:

42*0.09 = 3.78

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1 year ago

If f(x)=(3+x)/(x-3), what is f(a+2)?

tigry1 [53]

Answer:

To answer items such as this, we directly substitute the a + 2 to the all the x's in the function such that,

f(a + 2) = (3 + a + 2) / (a + 2 - 3)

Simplifying the function generated above,

f(a + 2) = (5 + a) / (a - 1)

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1 year ago

Given sin thata = 2/5 and 0° < thata < 90°. find sin 2 thata

Andrej [43]

Recall the double angle identity:

$\sin2\theta=2\sin\theta\cos\theta$

With $\theta$ measuring between 0º and 90º, we know $\cos\theta>0$ . So from the Pythagorean identity, we get

$\sin^2\theta+\cos^2\theta=1\implies\cos\theta=\sqrt{1-\sin^2\theta}=\dfrac{\sqrt{21}}5$

Then

$\sin2\theta=2\dfrac25\dfrac{\sqrt{21}}5=\dfrac{4\sqrt{21}}{25}$

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3 years ago

A soup kitchen makes 15 gallons of soup each day a quarter of the soup is served and the rest is saved for the next day , what i

Sophie [7]

Number of ounces left is 1120

Step-by-step explanation:

Step 1: Find number of ounces left after each day.

Given total soup prepared each day = 15 gallons

Amount served each day = 1/4 of 15 = 15/4 gallons

Amount left after each day = 15 - 15/4 = 60 - 15/4 = 35/4 gallons

Step 2: Convert gallons into ounces. 1 gallon = 128 ounces

35/4 gallons = 35/4 × 128 = 1120 ounces

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3 years ago