Write an equation of a line perpendicular to line CD in slope-intercept form that passes through the point (−1, 6).

Line CD is shown. C is at 1, 1. D is at 3, 5.

y = −0.5x − 5.5
y = −0.5x + 5.5
y = 2x + 13
y = 2x − 13

Answers

Answer 1

Answer:

its b

Step-by-step explanation:

i took the test

Answer 2

y = - 0.5x + 5.5 is the equation of a line perpendicular to line CD in slope-intercept form that passes through the point (−1, 6).

What is the slope-intercept form of a straight line?

The slope-intercept form of a straight line is y = mx + c.

Here, x and y are coordinates, m is the slope and c is the y-intercept of the line.

Given, two points are C(1, 1) and (3, 5).

Therefore, equation of the line CD is:

[tex]\frac{x - x_{1} }{y-y_{1} }[/tex] = [tex]\frac{x_{1}-x_{2}}{y_{1}-y_{2}}[/tex]

⇒ [tex]\frac{x - 1}{y-1}[/tex] = [tex]\frac{1-3}{1-5}}[/tex]

⇒  [tex]\frac{x - 1}{y-1}[/tex] = [tex]\frac{-2}{-4}}[/tex]

⇒2(x - 1) = (y - 1)

⇒ y = 2x - 1

Let, line AB is perpendicular to the line CD and passes through the point (-1, 6).

Therefore, slope of the line CD is = 2.

We know, slope of CD × slope of AB = -1

Therefore, slope of AB = -1 / slope of CD = [tex]-\frac{1}{2}[/tex].

Now, line AB has a slope of [tex]-\frac{1}{2}[/tex] and passes through the point (-1, 6).

Therefore, equation of the line AB is:

(y - y₁) = m(x - x₁)

⇒ [y - (6)] = [tex]-\frac{1}{2}[/tex][x - (- 1)]

⇒ 2(y - 6) = (-x - 1)

⇒ 2y - 12 + x + 1 = 0

⇒ x + 2y = 11

⇒ y = - 0.5x + 5.5

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Related Questions

What value of θ makes the statement true?
cos(θ)=sin(θ/3−10)

Answers

The required value of  θ  for the trigonometric function cos(θ)=sin(θ/3-10) is 60°.

What are trigonometric functions?

The  basic Trigonometric functions are sine, cosine, tangent, secant, cosecant and cotangent.

The given equation is,

cos(θ)=sin(θ/3-10)          (1)

To find the value of θ,

Change the whole equation into one trigonometric function,

Since, cos(θ)=sin(90-θ)

Substitute this value in equation (1)

sin(90-θ)=sin(θ/3-10)

⇒90-θ=θ/3-10

⇒4θ/3=80

⇒θ=60

The value of θ is 60°.

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Turner took a total of 8 quizzes over the course of 4 weeks. How many weeks of school will Turner have to attend this quarter before he will have taken a total of 16 quizzes? Assume the relationship is directly proportional. plz just put the answer

Answers

Answer:

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Step-by-step explanation:

It's 8 weeks

It's literally 8 weeks

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Answers

Answer:

Two weighing

Step-by-step explanation:

In the context, it is given that one of the three coins is fake and the other two are real. It is also mentioned that the fake coin is either heavier or lighter than the other two real coins.

Now to find the fake coin, we take a balance scale and lace one coin on one pan of the balance and place the second coin on the other pan of the same balance. We keep the third coin aside.

Now we check the balance scale. If the scale is balance, then we can conclude that the coin that we kept aside is the fake coin as both the real coins have same weight.

Now we replace the one of the coin on the pan with the coin that is kept aside and check the balance. Remember now on the pan, there is one real coin and one fake coin. The balance scale will be dis-balance as the fake coin is either heavy or light than the real coin. Thus we can identify the fake coin.

What is the domain of the relation?
✔ -4<=x<=6

What is the range of the relation?
✔ -4<=y<=4

Is the relation a function?
✔ yes


here are all the answers

Answers

Answer:

thx for ur help

Encide the best answer
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Answers

Answer:

The sim is 4

Step-by-step explanation:

6 - 2 = 4, therefore the -2 and 6 are the same if fliped.

Convert 144 pounds to kilograms. Use 1 kg = 2.2 Ib. Round your answer to the nearest tenth. kg​

Answers

Answer:

Since 1 kg is equals to 2.2 lb. You divide 144 by 2.2 :

144/2.2

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Answers

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Step-by-step explanation:

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Answers

Answer:

x=3.536, y=7.356

Step-by-step explanation:

The point of intersection can be found out be equating the equations x^2+(y-4)^2=25 and y=x+4. Solving it we will get x=3.536, y=7.356

round 803 to the nearest ten. Enter your answer in the box below.​

Answers

Answer:

800

Step-by-step explanation:

Answer:

Hey buddy, here is your answer. Hope it helps you

Step-by-step explanation:

It will round off to 800 as it is below 5. Above 5 it will round off to 810.

Ann and Bob split some money in the ratio 4:2. Ann got £4 more than Bob. How much did Bob get?​

Answers

Answer:

$4

Step-by-step explanation:

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If Ann gets 8 dollars and Bob gets 4, then Ann would have $4 more than Bob, and it would follow the appropriate ratio.

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Answer:

$550

Step-by-step explanation:

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Answers

Answer:

12

Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

Answer:

18 MARK AS BRAINLIEST OR ELSE!!!!

Step-by-step explanation:

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Answers

Answer:

the total are is 459

Step-by-step explanation:

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hope this helps

The total area of the new room is 459.

What is the scale factor?

The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.

WE are given that school Library was building a new one-room addition. the architects drawing shown below uses the scale 1/8 in = 1ft

Dimensions: 2 1/4 and 3 3/16

Therefore,

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= 18 x 25.5

Area = 459

The total area of the new room is 459.

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Answers

Answer:

4 1/4

Step-by-step explanation:

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Answers

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Rip king Von pop smoke quando rondo timmie and yea


Points and brainlest help me out on my question !!

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   Hurricane or cyclone: strong wind, heavy rain.

   Blizzard: heavy snow, ice, cold temperatures.

   Dust storm: strong winds, arid conditions.

   Flood: heavy rainfall.

   Hail storm: cold or warm temperatures, rain, ice.

   Ice storm: freezing rain.Step-by-step explanation:

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Answers

Answer:

Option (4)

Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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2/11

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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if joey trap has 2 million views and you go check him out how many views will he have no really go check him out 100 points just go look him up its not a joke

Answers

Answer:

lol done

Step-by-step explanation:

Which property justifies drew first step ?



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It is known that 10% of the UNIVERSITY students own their own car. If a random sample of 10 students is taken, what is the probability that at most 2 have their own vehicle?

Answers

Probability of students having their own vehicle

= 2/10

= 1/5

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