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3 years ago

Which equation is represented by the table?

2 answers:

6 0

The answer is C.

(0, 3)

y = x + 3

3 = 0 + 3

3 = 3

(1, 4)

y = x + 3

4 = 1 + 3

4 = 4

(2, 5)

y = x + 3

5 = 2 + 3

5 = 5

Norma-Jean [14]3 years ago

6 0

<span> C.
</span> $y = x + 3$

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The ferry between the island and the mainland makes one round trip a day. On Monday the ferry carried 83 people to the island an

mylen [45]

You can subtract 114-83 which equals 31

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3 years ago

Bobby can run 2/8 mile in 2 1/4 minutes. If he maintains that pace, how long will it take him to run 1 mile?

Finger [1]

Answer:

Step-by-step explanation:

Using Inverse Variation

2/8 mile relates to 2 1/4 minutes

2/8 * 4 = 1mile=

2 1/4 /4=9/4*1/4=9/16 minutes

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3 years ago

Read 2 more answers

4. If it is 50 outside and the temperature will drop 170 in the next

blondinia [14]

Answer:

it would be -120

Step-by-step explanation:

50-170 = -120 degrees Celsius

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4 years ago

Cos pi/4 cos pi/6= 1/2(___pi/12+cos 5pi/12) fill in the blank

inessss [21]

Answer:

$\cos(\frac{\pi}{4})\cos(\frac{\pi}{6})=\frac{1}{2}(\cos(\frac{\pi}{12})+\cos(\frac{5\pi}{12}))$

So the blank is cos.

Step-by-step explanation:

There is an identity for this:

$\cos(a)\cos(b)=\frac{1}{2}(\cos(a+b)+\cos(a-b))$

Let's see if this is fit by your left hand and right hand side:

So $a=\frac{\pi}{4}$ while $b=\frac{pi}{6}$ .

Let's plug these in to the identity above:

$\cos(\frac{\pi}{4})\cos(\frac{\pi}{6})=\frac{1}{2}(\cos(\frac{\pi}{4}+\frac{\pi}{6})+\cos(\frac{\pi}{4}-\frac{\pi}{6}))$

Ok, we definitely have the left hand sides are the same.

Let's see if the right hand sides are the same.

Before we move on let's see if we can find the sum and difference of $\frac{\pi}{4}$ and $\frac{\pi}{6}$ .

We will need a common denominator. How about 12? 12 works because 4 and 6 go into 12. That is 4(3)=12 and 6(2)=12.

$\frac{\pi}{4}+\frac{\pi}{6}=\frac{3\pi}{12}+\frac{2\pi}{12}=\frac{5\pi}{12}$ .

$\frac{\pi}{4}-\frac{\pi}{6}=\frac{3\pi}{12}-\frac{2\pi}{12}=\frac{\pi}{12}$ .

Let's go back to our identity now:

$\cos(\frac{\pi}{4})\cos(\frac{\pi}{6})=\frac{1}{2}(\cos(\frac{\pi}{4}+\frac{\pi}{6})+\cos(\frac{\pi}{4}-\frac{\pi}{6}))$

$\cos(\frac{\pi}{4})\cos(\frac{\pi}{6})=\frac{1}{2}(\cos(\frac{5\pi}{12})+\cos(\frac{\pi}{12}))$

We can rearrange the right hand side inside the ( ) using commutative property of addition:

$\cos(\frac{\pi}{4})\cos(\frac{\pi}{6})=\frac{1}{2}(\cos(\frac{\pi}{12})+\cos(\frac{5\pi}{12}))$

So comparing my left hand side to their left hand side we see that the blank should be cos.

4 0

3 years ago

Describe two ways to find the value of 3x+5x when x-6.

zloy xaker [14]

I know one way could be:
(3 × (-6)) + (5 × (-6)) = -18 + (-30) = -48
The other way i dont know

5 0

4 years ago