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Tom [10]
3 years ago
7

What is the distance between (-3,1) and (5,1)

Mathematics
1 answer:
zepelin [54]3 years ago
7 0

Answer: 8

Step-by-step explanation:

You might be interested in
Which of the following best describes the solution to the system of equations below?
OverLord2011 [107]

Answer: OPTION A

Step-by-step explanation:

The equation of the line in slope-intercept form is:

y=mx+b

Where m is the slope and b the y-intercept.

Solve for y from each equation:

\left \{ {{5y=-4x+7} \atop {10y=-8x+14}} \right.\\\\\left \{ {{y=\frac{-4}{5}x+\frac{7}{5}} \atop {y=\frac{-8}{10}x+\frac{14}{10}}} \right.\\\\\left \{ {{y=\frac{-4}{5}x+\frac{7}{5}} \atop {y=\frac{-4}{5}x+\frac{7}{5}}} \right.

As you can see the slope and the y-intercept of each equation are equal, this means that both are the exact same line. Therefore, you can conclude that the system has infinitely many solutions.

3 0
3 years ago
5.
Bogdan [553]

<u>Answer:</u>

The present value of 10,000 if  interest is paid at a rate of 6.2% compounded  weekly for 8 years is 6097.56

<u>Explanation:</u>

We know that compound interest is given by  

A=P\left(1+\frac{r}{n}\right)^{n t}

Where ,  

Where A = final amount (which is given to be = 10000)

       P = Principal amount (which is the present amount which we have to find)

r  = interest rate = 6.2 = 0.062

n = no. of times interest applied per time period = it is given that the interest is applied weekly, so in one year there are 52 weeks so n = 52

t = time period = 8 years

Substituting the given values, we get

10000=\mathrm{P}\left(1+\frac{6.2}{52}\right)^{52\times 8}

P = 6097.5

We get, P = 6097.56 which is the present value of a sum of money

3 0
3 years ago
The question is attached
DerKrebs [107]

cos(A - B) = cos A cos B + sin A sin B

In this case, A is \frac{\pi }{3} and B is \frac{\pi }{5}, so:

  cos\frac{\pi}{3} cos\frac{\pi}{5} +sin\frac{\pi }{3} sin\frac{\pi }{5} =cos(\frac{\pi}{3} -\frac{\pi}{5} ) = cos\frac{2\pi}{15}

Hope that helps!

5 0
2 years ago
Hannah buys 2/3 pound of roast beef. She uses 1/4 pound to make a sandwich for lunch. How much roast beef does she have left?
Eddi Din [679]

Answer:

He would have 5/12 pound left.

Step-by-step explanation:

In order to find this, we simply subtract the amount from the original total.

2/3 - 1/4

8/12 - 3/12

5/12

7 0
3 years ago
Pugsley worked at the pumpkin patch 4/1-2 days last week if he gets paid $94 per day how much money did pugsley earn last week
PolarNik [594]

Answer: he made $423

Step-by-step explanation: You multiply $94 by 4.5 and that's how I got the answer.

7 0
4 years ago
Read 2 more answers
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