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NNADVOKAT [17]
3 years ago
7

ABCD is rectangle on a coordinate grid with side AB parallel to side CD. Side BC is perpendicular to AB. The slip of AB is 3/4.

what is the slope of BC?
Mathematics
1 answer:
dybincka [34]3 years ago
6 0

The slope of BC is \frac{-4}{3}

Step-by-step explanation:

Let us revise some notes about slopes of lines

  • If two lines are parallel, then their slopes are equal
  • If to lines are perpendicular, then the product of their slopes is -1, that means if the slope of one is m, then the slope of the other is \frac{-1}{m}

∵ ABCD is a rectangle

∵ AB // CD

∴ The slope of AB = the slope of CD

∵ BC ⊥ AB

∴ The slope of BC × the slope of AB = -1

∵ The slope of AB = \frac{3}{4}

- To find the slope of BC reciprocal the slope of AB and reverse its sign

∴ The slope of BC = \frac{-4}{3}

The slope of BC is \frac{-4}{3}

Learn more:

You can learn more about the slope in brainly.com/question/9801816

#LearnwithBrainly

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Kennedy earns $8 each time she babysits her little sister Leslie.If Kennedy babysits Leslie 9 time,how much money will she earn?
Vesna [10]

Answer: 72 dollars

Step-by-step explanation:

7 0
3 years ago
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Henry wants to buy a new table saw for his carpentry shop. He has saved $360 which is 2/3 of the price of the saw. How much does
Tema [17]

If 360 is 2/3 of the full price on a saw then your equation should look like this:

360=\frac{2}{3} *x

x is your unknown full price of the saw. Just solve for x now.

360=\frac{2}{3} *x\\ \\ x=\frac{3}{2} *360=540

This means that the full price is $540.

Hope this helps!

5 0
3 years ago
a test consists of 10 true false questions to pass a test a student must answer at least six questions correctly if a student gu
Delicious77 [7]

Answer:

P(X \geq 6) = P(X=6) +P(X=7) +P(X=8) +P(X=9) +P(X=10)

And using the probability mass function we got:

P(X=6)=(10C6)(0.5)^6 (1-0.5)^{10-6}=0.205

P(X=7)=(10C7)(0.5)^7 (1-0.5)^{10-7}=0.117

P(X=8)=(10C8)(0.5)^8 (1-0.5)^{10-8}=0.0439

P(X=9)=(10C9)(0.5)^9 (1-0.5)^{10-9}=0.0098

P(X=10)=(10C10)(0.5)^{10} (1-0.5)^{10-10}=0.000977

And adding the values we got:

P(X\geq 6) = 0.377

The best answer would be:

D. 0.377

Step-by-step explanation:

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=10, p=0.5)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

For this case in order to pass he needs to answer at leat 6 questions and we can rewrite this:

P(X \geq 6) = P(X=6) +P(X=7) +P(X=8) +P(X=9) +P(X=10)

And using the probability mass function we got:

P(X=6)=(10C6)(0.5)^6 (1-0.5)^{10-6}=0.205

P(X=7)=(10C7)(0.5)^7 (1-0.5)^{10-7}=0.117

P(X=8)=(10C8)(0.5)^8 (1-0.5)^{10-8}=0.0439

P(X=9)=(10C9)(0.5)^9 (1-0.5)^{10-9}=0.0098

P(X=10)=(10C10)(0.5)^{10} (1-0.5)^{10-10}=0.000977

And adding the values we got:

P(X\geq 6) = 0.377

The best answer would be:

D. 0.377

8 0
3 years ago
Easy question for all the points?
kaheart [24]

Answer:

D

Step-by-step explanation:

Height: h

Length: 2h + 15

Area = length × width

4h² + 42h + 90

2(2h² + 21h + 45)

2[2h² + 15h + 6h + 45]

2[h(2h + 15) + 3(2h + 15)]

2(h + 3)(2h + 15)

Width = 2(h+3) = 2h + 6

Length: 2h + 15

Difference:

(2h + 15) - (2h + 6)

2h + 15 - 2h - 6

9

Width is 9 feet shorter than the length

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This is going to be a easy question, help please
faltersainse [42]

Answer:

The distribution is symmetrical.

Step-by-step explanation:

The box plot is symmetrical.

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