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USPshnik [31]
2 years ago
7

Write the equation of the line that passes through (1,5) and (3, 13)

Mathematics
1 answer:
Nadusha1986 [10]2 years ago
4 0

Answer:

y-5 = 4(x-1)

Step-by-step explanation:

idk what form you want the answer in but ill do point slope form

1. First find the slope: (13-5)/(3-1) = 8/2 = 4

2. choose any of the points: y-5 = 4(x-1)

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(cot^2x - 1)/(csc^2x) = cos2x​
Alex787 [66]

Answer:

Step-by-step explanation:

The idea here is to get the left side simplified down so it is the same as the right side. Consequently, there are 3 identities for cos(2x):

cos(2x)=cos^2x-sin^2x,

cos(2x)=1-2sin^2x, and

cos(2x)=2cos^2x-1

We begin by rewriting the left side in terms of sin and cos, since all the identities deal with sines and cosines and no cotangents or cosecants.  Rewriting gives you:

\frac{\frac{cos^2x}{sin^2x} -\frac{sin^2x}{sin^2x} }{\frac{1}{sin^2x} }

Notice I also wrote the 1 in terms of sin^2(x).

Now we will put the numerator of the bigger fraction over the common denominator:

\frac{\frac{cos^2x-sin^2x}{sin^2x} }{\frac{1}{sin^2x} }

The rule is bring up the lower fraction and flip it to multiply, so that will give us:

\frac{cos^2x-sin^2x}{sin^2x} *\frac{sin^2x}{1}

And canceling out the sin^2 x leaves us with just

cos^2x-sin^2x which is one of our identities.

5 0
2 years ago
I spent 3/4 of my money and then I spent 1/5 of what was left.
Monica [59]

Answers:

a) 4/5

b) 1/5

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

Let's say you start off with $100. If you spend 3/4 of that, then you spend 75 dollars (because 75/100 = 3/4). Think of it like 75 cents = 3 quarters. If you spend 75 dollars out of 100 total, then you have 100-75 = 25 dollars left after the first round of spending.

If you spend 1/5th of what is left, then you spend $5 on the second round leaving 25-5 = 20 dollars left at the end of the day.

Total up what you spend for both rounds: 75+5 = 80, which divides over the original amount 100 to get 80/100 = 8/10 = 4/5

If you had 20 dollars at he end of the day, out of 100 initially, then 20/100 = 2/10 = 1/5 is the fraction of what you have left.

note how 4/5 and 1/5 add to 5/5 = 1.00 = 100%. This is because the amount you spend and the amount you have left over must add to 100% of all the money you started with

6 0
3 years ago
What would you get if you divided a half of a half of a half by a half of a fourth of a half?
BartSMP [9]
I think the question is 1/6 ÷ 1/6, which im pretty sure would be 1/3
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2 years ago
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makkiz [27]

Answer:

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Step-by-step explanation:

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2 years ago
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Answer:

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