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2 years ago

Determine whether AB and CD are parallel, perpendicular, or neither. A(-3, 2), B(5, 1), C(2, 7), D(1, -1)

Mathematics

1 answer:

Bumek [7]2 years ago

6 0

Answer:

perpendicular

Step-by-step explanation:

We'll find the slope of both lines and see what it tells us.

If the slopes are the same, the lines are parallel. If the slopes are opposite sign and flipped (negative reciprocals) then they are perpendicular.

The slope is y-Y on top of a fraction and x-X on the bottom.

Slope of AB:

m = 2-1 / -3 -5

= 1/-8 = -1/8

Slope of CD:

m = 7- -1 / 2-1

= 8/1 = 8

Since the slopes are -1/8 and 8, the lines are perpendicular, because they are opposite sign and flipped (negative reciprocals)

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You are considering adding a new food product to your store for resale. You are certain that, in a month, the minimum demand for

kolbaska11 [484]

Answer:

Using EMV analysis, the number of units of the new product should be purchased for resale = Purchase 7.

The maximum EMV of profit you can make is 270.

Explanation:

We can use the following method to solve the given problem

Solution:

Using EMV analysis,

EMV (Purchase 6 for resale)= 6(40)(0.1) + 6(40)(0.4) + 6(40)(0.5)=240

EMV (Purchase 7 for resale) = [6(40)-60](0.1) +7(40)(0.4) + 7 (40)(0.5) = 270

EMV (Purchase 8 for resale) = [6(40)-2(60)] (0.1) + [7 (40) - 60] (0.4) + 8(40)(0.5)= 260

Largest EMV= 270; Choose to purchase 7 units for resale.

Step-by-step explanation:

Hopefully this helps :)

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2 years ago

What is the equation of the line shown on the graph?

Lisa [10]

Answer:

i got you cutie <3

its B (:

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3 years ago

A quiz consists of 10 multiple choice questions, each with five possible answers, one of which is correct. to pass the quiz a

blsea [12.9K]

The probability is 0.006, or 0.6%.

This is binomial; there are a fixed number of trials (10), the events are independent (the chances of one occurring do not affect the chances of the other occurring), and there are two outcomes (either right or wrong).

He must get 6 of the 10 questions correct, so k is 6 and n is 10. The probability of getting a question correct is 1/5=0.2; the probability of getting a question incorrect is 4/5=0.8.

$_{10}C_6\times(0.2)^6\times(1-0.2)^{10-6}
\\
\\\frac{10!}{6!4!}\times(0.2)^6\times(0.8)^4
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4 years ago

Please help me and I will thank you

uysha [10]

The value a = 4 will always yield a correct answer.

We know this by solving for a. If we do this, we will get the number needed.

a(x + 3) < 5x + 15 - x -----> simplify like terms

a(x + 3) < 4x + 15 -----> divide by x + 3

a < 4 + 3/(x + 3)

Since a is less than 4 plus a number, we know that a will always be less than 4. So we can use 4 as the number for all real solution.

6 0

3 years ago

Which of the following is the prime factorization for the number 2520?

Lesechka [4]

Answer: A

Step-by-step explanation:

5 x 7 x 8 x 9

5 x 7 = 35

35 x 8 = 280

280 x 9 = 2520

3 0

3 years ago

Read 2 more answers