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Maslowich
3 years ago
10

An equation of a line perpendicular to the line represented by the equation y = -

Mathematics
2 answers:
Rasek [7]3 years ago
8 0

Answer:

y=2x-8

Step-by-step explanation:

First, remember that perpendicular lines have opposite and reciprocal slopes to the original line. That means for this line, your slope will be 2 (flip the fraction and change the sign). So we have:

y=2x+b

Next, plug in the point that it passes through in order to find the y-intercept (b).

4=2(6)+b

4=12+b

b=-8

So your equation will be:

y=2x-8

Hope this helped!

dem82 [27]3 years ago
3 0

Answer:

y= 1/2x+1

Step-by-step explanation:

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melamori03 [73]

Answer:

-1

Step-by-step explanation:

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2 years ago
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Can anyone help me with this? im confused
kvasek [131]

Answer:

1,2,3 and 6 are similar triangles by AA similarity

Step-by-step explanation:

1) ∠DEC ≅ ∠FEG     {Vertically opposite angles}

DC //  GF

∠ECD ≅ ∠EGF     {Alternate interior angles}

∠EDC ≅ ∠EFG     {Alternate interior angles}

ΔDEC & ΔFEG are similar triangles by AA similarity

2)MN // QP

∠LQP ≅ ∠QMN   {Corresponding angles }

∠LPQ ≅ ∠PNM   {Corresponding angles}

ΔLQP & ΔLMN are similar triangles by AA similarity

3) In ΔSYE ,

∠S = 180 - 90 - 39

∠S = 51°

In ΔCHW,

∠H = 180 - 51 - 90

∠H = 39

ΔSYE and ΔCHW

∠S ≅ ∠W = 51°

∠Y ≅ ∠C = 90°

∠E ≅∠H = 39°

ΔSYE & ΔWCH are similar triangles by AA similarity

6) ∠P ≅ ∠Z      {Given}

∠PXQ ≅∠ZXY  {Vertically opposite angles}

ΔPXQ & ΔZXY are similar triangles by AA similarity

5 0
1 year ago
If 3/4 of a box of apples weighs 3kg and 225gm,how much does a full box of apples weigh?
brilliants [131]

Answer:

4.3 kilograms

Step-by-step explanation:

3/4 = 3.225kg

3/4 = 0.75

75% of a box of apples = 3.225kg

100% of a box is 3.225 / 0.75 which is 4.3kg

8 0
2 years ago
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qaws [65]

Answer:c

Step-by-step explanation:

7 0
2 years ago
Bob's Burgers surveyed a random sample of 70 Sunset Park Food Festival
amm1812

Answer:

The most reasonable estimate for the number of Sunset Park Food  Festival attendees whose favorite type of burger is a sausage bacon  cheeseburger is 760.

Step-by-step explanation:

Assume that Bob's Burgers provides two types of burgers:

  1. Bacon cheeseburgers (B)
  2. Sausage bacon  cheeseburger (S)

Of the random sample of <em>N</em> = 70 attendees, the number of people who said that bacon cheeseburgers were their favorite type of burgers is 32.

Then the number of people who said that sausage bacon cheeseburgers were their favorite type of burgers is, n (S) = 70 - 32 = 38.

Compute the probability that a randomly selected attendee like sausage bacon cheeseburger as follows:

P(S) = \frac{n(S)}{N}=\farc{38}{70}=0.543

It is provided that there are 1400 Sunset Park Food Festival attendees.

Let the random variable <em>X</em> be defined as the number of attendee who likes sausage bacon cheeseburgers.

Then the random variable <em>X</em> will follows a Binomial distribution with parameter <em>n</em> = 1400 and <em>p</em> = 0.543.

This is because, there are a fixed number of trial in the experiment, each trial has the same number of outcomes, i.e. a person either likes bacon cheeseburgers or sausage bacon cheeseburgers and each trial has the same probability of success, i.e. P (S).

The expected value of a Binomial random variable is:

E(X)=n\times p

Compute the expected number of attendees whose favorite type of burger is a sausage bacon  cheeseburger as follows:

E(X)=n\times p

         =1400\times 0.543\\=760.2\\\approx 760

Thus, the most reasonable estimate for the number of Sunset Park Food  Festival attendees whose favorite type of burger is a sausage bacon  cheeseburger is 760.

5 0
3 years ago
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