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wariber [46]
3 years ago
15

Line EF has an equation of a line y = −2x + 7. Which of the following could be an equation for a line that is perpendicular to l

ine EF?
Answer Choices:

y = 2x - 3

y = 1/2x - 3

y = -2x - 3

y = -1/2x - 3
Mathematics
1 answer:
Ksju [112]3 years ago
3 0

Answer:

  y = 1/2x -3

Step-by-step explanation:

The slope of the given line is the x-coefficient: -2. The slope of the perpendicular line is the negative reciprocal of this:

  -1/(-2) = 1/2

The only answer choice with a slope of 1/2 is ...

  y = 1/2x -3

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Which of the following DOES NOT have any rectangular faces? A. pentagonal prism B. hexagonal pyramid C. rectangular prism D. squ
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A pentagonal prism, a rectangular prism, and a square pyramid all have rectangular faces but a hexagonal pyramid does not.

A hexagonal pyramid only consists of a hexagon and triangles. Therefore, the answer is B. Hexagonal Pyramid.
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Wendy's restaurant has been recognized for having the fastest average service time among fast food restaurants. In a benchmark s
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Answer:

(a) 0.2885

(b) 0.0736

(c) 0.0468

Step-by-step explanation:

The exponential distribution of Wendy's service time is given by:

P(x) =  [exp (-x/μ)]/μ............................................................................ (1)

P(x) = Probability function

x = Service time, in minute

μ = average service team, in minute, 2.2 minutes

(a) x= 1, substituting into equation (1) we have:

P(1) =  [exp (-1/2.2)]/2.2

     = 0.6347/2.2

     =  0.2885

(b)  x₁ = 0.5 minutes

       x₂ = 1 minute

P (0.5<x<1) = P(0.5) -P(1) ----------------------------------------------- (2)

From (a), P (1) =  0.2885

P(0.5) =P(1) =  [exp (-0.5/2.2)]/2.2

     = 0.7967/2.2

     =  0.3621

Substituting into (2), we have :

P (0.5<x<1) = 0.3621 -0.2885

                  =  0.0736

(c) P(5) =  [exp (-5/2.2)]/2.2

     = 0.1030/2.2

     =  0.0468

7 0
3 years ago
What does squared mean in geometry
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In mathematics, a square is the result of multiplying a number by itself. The verb "to square" is used to denote this operation. Squaring is the same as raising to the power 2, and is denoted by a superscript 2; for instance, the square of 3 may be written as 32, which is the number 9.

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2 friends go out to lunch and order 1 large pizza.The friends divided the pizza evenly.Find how much pizza each friend got as a
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P is the centroid of triangle ABC. AE=21,CD=14, and BF=11<br><br> What is the length of AP
allsm [11]

The length of AP is 14 units

Step-by-step explanation:

The centroid point of a triangle is:

  • The point of intersection of the three medians of the triangle
  • The centroid point divides each median into two segments at a ratio 2 : 1 from its vertex
  • The length of the segment from the vertex to the centroid is \frac{2}{3} of the length of the median
  • The length of the segment from the centroid to the base is \frac{1}{3} of the length of the median

Look to the attached figure

In Δ ABC

∵ D is the mid-point of AB

∵ E is the mid-point of BC

∵ F is the mid-point of AC

∵ AE , BF and CD are the medians of the triangle

∵ AE , BF and CD are intersected at P

∴ P is the centroid of the triangle

- By using the rule above

∴ AP = \frac{2}{3} AE

∵ AE = 21 units

∴ AP = \frac{2}{3} × 21

∴ AP = 14 units

The length of AP is 14 units

Learn more:

You can learn more about the triangles in brainly.com/question/3358617

#LearnwithBrainly

8 0
3 years ago
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