What Is the equation of the line through (2, -1) and (0,5)?
A. y = 3x + 5
B. y=-3x + 5
c. y = 3x - 5
D. y=-3x - 5

Answers

Answer 1

Answer:

B

Step-by-step explanation:

To find the equation, we can use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is a point.

First, we will need to find the slope. Since we have two points, we can use the slope formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let (2, -1) be (x₁, y₁) and let (0, 5) be (x₂, y₂). Substitute and evaluate:

[tex]\displaystyle m=\frac{5-(-1)}{0-2}=6/-2=-3[/tex]

Therefore, the slope m is -3.

Now, we can use the point-slope form. We also need a point. Let’s use (2, -1) for consistency. So, we will substitute -3 for m and (2, -1) for (x₁, y₁). This yields:

[tex]y-(-1)=-3(x-2)[/tex]

We will now convert this to slope-intercept form. Simplify the left and distribute the right:

[tex]y+1=-3x+6[/tex]

Subtract 1 from both sides. Therefore, our equation is:

[tex]y=-3x+5[/tex]

Thus, our answer is B.


Related Questions

Find the surface area of the square pyramid shown below.

Answers

9514 1404 393

Answer:

  160 units^2

Step-by-step explanation:

Each of the four triangular faces has an area of ...

  A = (1/2)bh = (1/2)(8)(6) = 24 . . . square units

The square base has an area of ...

  A = s^2 = 8^2 = 64

Then the total surface area is ...

  A = base area + 4 · triangle area

  A = 64 + 4(24) = 160 . . . square units

The incubation period for the eggs of a house wren is normally distributed with a mean of 336 hours and a standard deviation of 3.5 hours.
Find the probability that an egg has an incubation period between 328 and 338 hours.
Suppose a researcher has fifteen house wren eggs in an incubator. Find the probability that the average incubation time for the fifteen eggs is greater than 337 hours.
Suppose it is known that 33% of House wren eggs never hatch. Suppose an ornithologist has forty house wren eggs. Find the probability that less than 25% never hatch.

Answers

Answer:

a) 0.705015

b) 0.13424

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

The incubation period for the eggs of a house wren is normally distributed with a mean of 336 hours and a standard deviation of 3.5 hours.

a) Find the probability that an egg has an incubation period between 328 and 338 hours.

For x = 328

z = 328 - 336/3.5

z = -2.28571

Probability value from Z-Table:

P(x = 328) = 0.011135

For x = 338

z = 338 - 336/3.5

z = 0.57143

Probability value from Z-Table:

P(x = 338) = 0.71615

The probability that an egg has an incubation period between 328 and 338 hours.

P(x = 338) - (P(x = 328)

0.71615 - 0.011135

= 0.705015

b) Suppose a researcher has fifteen house wren eggs in an incubator. Find the probability that the average incubation time for the fifteen eggs is greater than 337 hours.

We are given a sample of 15 wren eggs,

We use this z score formula

z = (x-μ)/σ/√n, where

x is the raw score

μ is the population mean

σ is the population standard deviation

n is random number of samples

z = 337 - 336/3.5/√15

z = 1.10657

Probability value from Z-Table:

P(x<337) = 0.86576

P(x>337) = 1 - P(x<337) = 0.13424

Suppose it is known that 33% of House wren eggs never hatch. Suppose an ornithologist has forty house wren eggs. Find the probability that less than 25% never hatch.

Rhombus ABCD ~Rhombus EFGH. The scale factor is 3. Angle A = 80° , Angle B = 70° Angle C = 110°, and Angle D = 100°.What are the measures of Angle E, Angle F, Angle G, and Angle H Group of answer choices

Answers

Answer:

d 100

Step-by-step explanation:

Hiking up a mountain, you notice that the air temperature drops 10°C for every 1,000 meters increase in elevation. Write a multiplication expression to represent the decrease in temperature if you hike up the mountain 3,000 meters. Then evaluate the expression and explain its meaning.

Answers

Answer:

30,000

Step-by-step explanation:

5a + 2r = 12 rewrite this equation!!

Answers

I will put it in standard form,

5a + 2r = 12

It becomes

5a + 2r - 12 = 0

Last question Please I really need help ASAP! I WILL GIVE BRAINLIEST!!!!!



∠AOB is a right angle.


OC bisects ∠ AOB


D is on the interior of ∠ AOC


E is on the interior of ∠ COB


∠ AOD = 23 degrees


∠ DOC is congruent to ∠ EOB


∠ BAD = ∠ EAF = ∠ FAC


Draw this picture and then using that picture identify the true statements below.




a)


m∠ DOC = 23



b)


m∠ DOC = 22



c)


m∠ AOC = 90



d)


m∠ COE= 23



e)


m∠ AOC= 45

Answers

Step-by-step explanation:

a) is true

b) is true

c) is false

d) is false

e) is true

Analyze the graph of the function f(x) to complete the statement.

Answers

Answer:

Step-by-step explanation:

What they are asking for here is where the y-values are negative in interval format. Intervals are x things only, no y's allowed. So the interval of (-infinity, -3) indicates an x value of negative infinity to an x value of -3. The y's are negative from an x value of negative infinity to an x-value of -3, then again from an x value of almost -1 to an x value of almost positive 1. So your choice is the last one listed there.

A wire of length $100 cm is bent into a rectangle. If the length of the rectangle is $10 cm more than its breadth, find the area of the rectangle.

Answers

Answer:

the answer is equal to $1000cm

Solve the system using multiplication for the linear combination method
6x-3y=3
-2x+6y=14

Answers

Answer:

Step-by-step explanation:

(2,3)

A car travels 6 meters in 3 seconds.Then it stops for 5 seconds.Then it travels 2 meters in two seconds
PLS ANSWER

Answers

Answer:

it would be 8 meters in 10 seconds,Because it travels 6 meters for 3 seconds stops for 5 seconds. So then it would be 6 meters in 8 seconds then it travels 2 meters in two seconds. Which would essentially be 8 meters in 10 seconds.

I am literally in tears. Pls someone help me fast. This is a timed question. I will give all of my points to the answer if it is right. Please!!!

Answers

hey dude ....hey dude ....14x +6 /3= -8 +4x

14x+6 = -24 +12x

2x+6= -24

2x= -30

x=15x=15putting value of x in -3x^2 -7,

-3(15)^2 -7

-3(225)-7

-675 -7

-682

How do you do these two questions?

Answers

Answer:

(x − π)⁷ / 5040

(x − 1)³ / 16

Step-by-step explanation:

Taylor series expansion of a function is:

f(x) = ∑ₙ₌₀°° f⁽ⁿ⁾(x₀) / n! (x − x₀)ⁿ

where f⁽ⁿ⁾(x₀) is the nth derivative evaluated at x₀.

For the first problem, f(x) = sin x and x₀ = π.  We want the seventh degree term, so n = 7.

The seventh degree term is therefore: f⁽⁷⁾(π) / 7! (x − π)⁷

Find the seventh derivative of sin x:

f(x) = sin x

f⁽¹⁾(x) = cos x

f⁽²⁾(x) = -sin x

f⁽³⁾(x) = -cos x

f⁽⁴⁾(x) = sin x

f⁽⁵⁾(x) = cos x

f⁽⁶⁾(x) = -sin x

f⁽⁷⁾(x) = -cos x

Evaluated at π, f⁽⁷⁾(x) = 1.  So the seventh degree term is (x − π)⁷ / 5040.

For the second problem, f(x) = √x and x₀ = 1.  We want the third degree term,  so n = 3.

The third degree term is therefore: f⁽³⁾(1) / 3! (x − 1)³

Find the third derivative of √x:

f(x) = √x

f⁽¹⁾(x) = ½ x^-½

f⁽²⁾(x) = -¼ x^-³/₂

f⁽³⁾(x) = ⅜ x^-⁵/₂

Evaluated at 1, f⁽³⁾(x) = ⅜.  So the third degree term is (x − 1)³ / 16.

In the exam 45% students failed and 550 students were successful. Find the total number of students appeared in the exam .

Answers

Here,

Let the total number of students be x,

Then,

55% of x=550

x=1000

Answer:

i like to do the box method which would look like

x%      l  x           - original number

---------------  

100%  l  x

which would look like for this equation

45%      l  550

---------------  

100%    l  x

so you would times 550 by 100 and get 55000 then divide by 45 which is 1222. 22 repeating but there is no one half of a person so rounded up to 1222.00

1222 is your answer

Step-by-step explanation:

You are beautiful. You are amazing. You are wonderful. You are perfect just the way you are. Never worry about the way people think about you. Only worry if you like you. You are the most important person to yourself. Just be yourself. No can tell you who you can be. You are truly perfect just the way you are. Never tell yourself you are not good enough, you are enough. Never tell yourself "I'm ugly" you are beautiful. Never let yourself down.

Death. Hate. Blood. Sorrow. Regret. Judgement. Disgusted. Disrespect. Threats. Murder. Darkness. Sadness. Fearfulness. Tortured. Humiliated. Worry. Hopelessness. Depressed. Lost. Lonely. Suffering. Disappointment. Shame. Lies. Miserable.

There are so many words that can describe our world today. We are stuck in a world a darkness, we are stuck in a world of death. The is hat going everywhere, even if we try to get out of this hate, we are still living in hate. We can try over and over again to change, but there is always something that is going to stop us. There is always something that is going to keep us from moving forward.

We need to find a way to break away the things that stop us from becoming better, we need to learn better wats to live. It does not matter who you are, what you look like, just remember you are perfect just the way you are. We can be amazing, we can be change to our society.

We are acting like everything is alright, when we actual want to break down and cry. We are acting like we are brave, when we are scared and afraid. We are acting like when can do anything, when we think we can't do anything. We are acting like we love those who hate us because we are to afraid to say the truth. We are acting like people who are to afraid to show who they really are. We are acting like life is a fairytale, but it's actual a nightmare. We are acting like we are the most happiest people, but really we just want to curl up inside. We are acting like we want to stay, when we want to run away. We are acting like we a doing just fine, When we are about to give up. We need to change, don't worry about those who hate. Don't worry about the way you look. Don't worry about who you really are. Just be yourself. Just relax. Just the real person you our. It doesn't matter what they say. The only thing that matters is if you like you the real you, not someone you are trying to pretend to be, but the real you.

There is always love, when there's only hate. There is always hope, when hope seems lost. There is always someone, when we have no one. There is always a light, when in there is darkness. There is always a way out, when we are stuck. There is always happiness, when we feel only sadness. There is always angels, when we only see demons. There is always someone to talk to, when there seems no one to talk to. There is always beauty, when things get ugly. There is always hope. There is always love. There is always someone. There is always a light. We might want to give up. We might want to lose the fight. We might want to stop trying. We might want to run away. No matter what, no matter what's happening right now, no matter if there seem like everything is falling apart or there is just a feeling that you need to give up. Always remember there is someone out there who needs you. There is always someone to talk to. There is always hope. Don't give up, don't give up. As there is always love, hope and happiness.

Sometimes in life we need a dose of happiness, sometimes we need someone to talk to, sometimes we need someone to hold on to, but sometimes we just wanna be alone, sometimes we need no one to talk to or hold. Their are those with nothing at all and there are those who have everything, but sometimes we have nothing but still everything, sometimes we have everything but nothing. Sometimes we wonder, sometimes we don't. Sometimes we try but fail and sometimes we don't try but yet succeed. Sometimes we cry, sometimes we get mad. Sometimes we do wrong, sometimes we do right. Sometimes we hate, sometimes we love. Sometimes we get our heart broken, sometimes we break peoples heart. Sometimes we tell the truth, but we are still lying. Sometimes we just need to relax but yet we can't. Sometimes we need quiet in a big city. Sometimes we are afraid of the unknown and sometimes we are not. Sometimes we discover. Sometimes we challenged. Sometimes we fall in love. Sometimes we find joy in a room of sadness. Hope this helps, have a wonderful day.

Given f (x) = 6 (1- x), what is the value of f (-5)?

Answers

Answer: 36

Step-by-step explanation:

1) substitute x for 6

get f(-5)=6(1--5)= 6+30=46

Answer:

f(-5)=6(1-(-)5) f(-5)=6×6

f(-5)=36 Hope this will be helpful

Find the value of x that will make A||B.
А
B
4x
2x
x = [?]

Answers

Answer:

x = 30

Step-by-step explanation:

4x + 2x = 180

6x = 180

x = 30

Find the quotient of 394/6

Answers

Answer:

65

Step-by-step explanation:

394/6

When 394 divided by 6 then

we get 65 quotient and 4 remainder

Worth 75 points!! Need help with calculus

Answers

The correct answer is:

2u-v=7(5i-3j)

Therefore, 5, and 3 go inside the box.

Marcos sees a cake advertised as $15 or 2 for $25. What is the difference of the unit rate?
A. 2.50
B. 4.25
C. 10
D. 13
PLEASE HELLP ME FAST

Answers

Answer:

A. 2.50

Step-by-step explanation:

25 ÷ 2 = 12.5

15 - 12.5 = 2.50

PLEASE ANSWER FIFTY POINTS AND BRAINLIEST!

Sketch the graph y=− |x−1|+3 and answer the questions:
b)
What are the coordinates of its vertex?
c)
What are the coordinates of x- intercepts? (theres two)

Answers

Answer: The picture I showed is the sketch of the graph y=-|x-1|+3

b) The coordinates for the vertex is (1,3)

c) One of the coordinates for the x intercepts is (-2,0)

The other is (4,0)

Step-by-step explanation:

b)The vertex is the point I showed in the picture.  It's where the graph moves in the opposite direction

c) The coordinates for the intercepts can be determined where the graph hits the x axis.  At -2, the graph hits the x axis and at 4 the graph hits the x axis.

X intercepts always have a 0 for its y value of the coordinate.  Therefore the coordinates are (-2,0) and (4,0)

Based on the pattern in the table, what is the value of a?

Powers of 2
Value
2 Superscript negative 1
One-half
2 Superscript negative 2
One-fourth
2 Superscript negative 3
one-eighth
2 Superscript negative 4
StartFraction 1 Over 16 EndFraction
2 Superscript negative 5
StartFraction 1 Over 32 EndFraction
2 Superscript negative 6
a

Negative 64
Negative 12
StartFraction 1 Over 16 EndFraction
StartFraction 1 Over 64 EndFraction

Answers

Answer:1/64

Step-by-step explanation: I got it right

Based on the pattern in the table, the value of a is StartFraction 1 Over 64 EndFraction.

What are Exponents?

Exponents are the method of writing numbers, especially large numbers, in terms of a base and an exponent, which is written as the power of base.

Given is a pattern, which is the powers of 2.

The first term is 2⁻¹ = 1/2

The second term is 2⁻² = 1/ 2² = 1/4

The third term is 2⁻³ = 1 / 2³ = 1/8

The fourth term is 2⁻⁴ =  1 / 2⁴ = 1/16

The fifth term is 2⁻⁵ = 1/ 2⁵ = 1/32

The sixth term is 2⁻⁶ = 1/ 2⁶ = 1/64

So the value of a is 1/64.

Hence the value of a is 1/64.

To learn more about Exponents, click on the link given below :

https://brainly.com/question/30066987

#SPJ6

Use this picture and help please

Answers

65 degrees because then it adds to 180 degrees

Answer:

This would be 55 degrees because the sum of angles A, B and C = 180 degrees

Complete the table
f(x) = -2x - 8
Х
f(x)
-9
-6
-5
-1
1

Answers

f(x)=-2x-8
0=-2x-8
2x=-8
x=-4
continued on the linked photos

Which system is the solution of the graph?

Answers

Answer:

2

Step-by-step explanation:

Find the value of y
pls let me know how u solve this

Answers

Answer:

X° = 45°

Y = 8√2

Step-by-step explanation:

Angle of this triangle 45°:45°:90° so ratio of the triangle = 1:1:√2

8:8:8√2

I hope you understand it and sorry if it is wrong

what is 3 divided by 39 (step by step for branliest!

Answers

Answer:

39 / 3 = 13

Step-by-step explanation:

first find out how many times 39 goes into 3 by writing the multiplication facts of 3.

3x1=3             3x8=24

3x2=6            3x9=27

3x3=9            3x10=30

3x4=12           3x11=33

3x5=15           3x12=36

3x6=18           3x13=39

3x7=21           3x14=42

You use 3x13 because 3x13 equals to 39 and that is our dividend.

The answer is 13

5y+1=31 what does y equal?

Answers

Answer:

y=6

Step-by-step explanation:

Lines
AB
and
CD
are straight lines. Find x and y. Give reasons to justify your solutions.

Answers

Answer:

x = 18

y = 54°

Step-by-step explanation:

m<MON = 90° (given)

m<MOA = 72° (given)

m<AON + m<MOA = m<MON (Angle Addition Postulate)

m<AON + 72° = 90° (Substitution)

Subtract 72° from each side

m<AON = 90° - 72°

m<AON = 18°

m<AOD = 18° + 2x

m<BOC = 3x

m<AOD = m<BOC (vertical angles)

18 + 2x = 3x (Substitution)

Subtract 2x from each side

18 = 3x - 2x

18 = x

x = 18.

72° + y + 3x = 180° (angles on a straight line)

Plug in the value of x

72 + y + 3(18) = 180

72 + y + 54 = 180

126 + y = 180

Subtract 126 from both sides

y = 54

If AB = 2x – 5, BC = x – 2, and AC = 20,
find AB.
please help me out yall

Answers

Answer:

as the picture shown

Step-by-step explanation:

Please help ASAP!!
What is the sum of the square root of 676 and square of 24​

Answers

Step-by-step explanation:

square root of 676 is equal to 26

square of 24 is equal to 576

576+26 = 602

Step-by-step explanation:

[tex] \sqrt{676 } = 26[/tex]

[tex] {24}^{2} = 576[/tex]

576+26=602

Approximately 1 in 28 people of Ashkenazi Jewish descent are Tay-Sachs carriers. In randomly sampling one man and one woman from this population, what is the probability neither is a Tay-Sachs carrier? What is the probability both are carriers?

Answers

Answer:

a) probability that neither is Tay-Sachs carrier is 0.9298

b) the probability that both are carriers is 0.001276

Step-by-step explanation:

Given that;

1 in 28 people of Ashkenazi jewish descent are Tay-Sachs carrier.

so P(Carrier) = 1/28 =

also P( Not a carrier) = 1 - 1/28 = 0.9643

Now After Sampling 1 man and 1 woman from the population;

a)

the probability neither is Tay-Sachs carrier

P( Neither is a Carrier) = 27/28 × 27/28 = 0.9298

Therefore probability that neither is Tay-Sachs carrier is 0.9298

b)

the probability both are carriers

P( Both are Carriers) = 1/28 × 1/28 = 0.001276

Therefore the probability that both are carriers is 0.001276

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