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slamgirl [31]
3 years ago
14

The points (3,10) and (5,t) fall on a line with a slope of -4 what t value

Mathematics
1 answer:
Elenna [48]3 years ago
4 0

Answer:

t=2

Step-by-step explanation:

The slope is given by  

m = (y2-y1)/(x2-x1)


We have points (3,10) and (5,t) and the slope is -4

Substituting these in

-4 = (t-10)/ (5-3)

Simplifying

-4 = (t-10) / 2

Multiply by 2 on both sides

-4 = (t-10) / 2 *2

-8 = t-10

Add 10 on both sides

-8+10 = t-10+10

2 = t

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slope = rise over run = y/x

A (-1,3) slope = 3/-1 = -3

B (1,2) slope = 2/1 = 2

C (-3,-1) slope = -1/-3 = 1/3

2 lines need to be negative reciprocals in order to be a right triangle

negative reciprocal of -3 is 1/3

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Ksenya-84 [330]

Answer:

17.

Step-by-step explanation:

one dash is equal to 2. so just go by twos

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aalyn [17]

Answer:

Answer 1: <u>$6,289</u>

Answer 2: <u>$198</u>

Step-by-step explanation:

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a(10)=10,000(1+.05)^10

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A(t)=pe^rt=a(10)=10,000e^(.05)(10)=16,487-10,000=6487

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3 years ago
Marie is making a recipe that calls for 1 cups of oil. How many fluid ounces of oil should she use?
dybincka [34]
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nalin [4]

Answer:

53.57%

Step-by-step explanation:

We have to calculate first the specific number of events that interest us, if at least 3 are girls, they mean that 2 are boys, therefore we must find the combinations of 3 girls of 5 and 2 boys of 3, and multiply that, so :

# of ways to succeed = 5C3 * 3C2 = 5! / (3! * (5-3)!) * 3! / (2! * (3-2)!)

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That is, there are 30 favorable cases, now we must calculate the total number of options, which would be the combination of 5 people from the group of 8.

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That is to say, in total there are 56 ways, the probability would be the quotient of these two numbers like this:

P (3 girls and 2 boys) = 30/56 = 0.5357

Which means that the probability is 53.57%

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