What is the equation of the line that passes through point Q and is parallel to line P?​

What Is The Equation Of The Line That Passes Through Point Q And Is Parallel To Line P?

Answers

Answer 1

Answer:

[tex]y=\frac{3}{2} x+1[/tex]

Step-by-step explanation:

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines always have the same slope (m) and different y-intercepts (b)

1) Find the slope of line P

The slope of a line is equal to the [tex]\frac{rise}{run}[/tex], or the number of units the line moves up over the number of units the line moves to the right.

We can see that for line P, for every 2 units it moves to the right, it moves up 3 units.

Therefore, the slope of line P is [tex]\frac{3}{2}[/tex].

Knowing this, the equation of a line parallel to line P would have a slope of [tex]\frac{3}{2}[/tex] as well. Plug this into [tex]y=mx+b[/tex] as m:

[tex]y=\frac{3}{2} x+b[/tex]

2) Plug the given point Q into [tex]y=\frac{3}{2} x+b[/tex]  to find the y-intercept (b)

[tex]y=\frac{3}{2} x+b[/tex]

Plug in point Q (2,4)

[tex]4=\frac{3}{2} (2)+b\\4=\frac{6}{2}+b\\4=3+b[/tex]

Subtract 3 from both sides

[tex]4-3=3+b-3\\1=b[/tex]

Therefore, the y-intercept of this line (b) is 1. Plug this back into our original equation:

[tex]y=\frac{3}{2} x+b[/tex]

[tex]y=\frac{3}{2} x+1[/tex]

I hope this helps!


Related Questions

HELP ME PLS!!! ANSWER QUICKLY!!!

Answers

F: y=1.30x+5 G: y=7x+3 H: y=1.80x-1 J: 1.75x+0.16y I know F G and H are correct but I’m not really sure about J but I think the setup up is kind of right but I don’t know about that one

URGENT - PLEASE HELP 25 POINTS AND BRAINIEST

A right triangle has legs that measure 5 and x - 1
Its hypotenuse measures x.
Solve for x

Answers

X=3 I think sorry if it’s wrong I’m not too good at this

Decide if each expression represents one third the sum of 5 and 4. choose yes or no for each expression.

Answers

Answer:

yes

no

yes

no

Step-by-step explanation:

pls mark brainliest

please help

if your gonna scam just leave i really need help

Answers

Answer:

x = 23

Step-by-step explanation:

The measures of the angles in a triangle add up to equal 180

That being said we can create an equation to solve for x

180 = 2x + 3x + 1 + 3x - 5

Now we solve for x using basic algebra

step 1 combine like terms

2x + 3x + 3x = 8x

1 - 5 = -4

now we have 180 = 8x - 4

step 2 add 4 to each side

-4 + 4 cancels out

180 + 4 = 184

now we have 184 = 8x

step 3 divide each side by 8

8x/8=x

184/8=23

we're left with x = 23

Please Please please

Answers

Answer:

is the name of your account from little mermaid?  :DDD

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

now just refer to the above ( also copy and paste the above on your computer some where so you have it always)

sin( D )= 28 / 53

sin( E ) = 45 / 53

cos(D) = 45 / 53

cos(E) = 28 / 53

PLSSSSSSSS HELPPPPPPPP

Answers

4 answer that as the answer question is hard actually

After a special medicine is introduced into a petri dish containing a bacterial culture, the number of bacteria remaining in the dish decreases rapidly. The number of bacteria decays by a factor of \dfrac{1}{15} 15 1 ​ start fraction, 1, divided by, 15, end fraction every 6.76.76, point, 7 minutes, and can be modeled by a function, NNN, which depends on the amount of time, ttt (in minutes). Before the medicine was introduced, there were 90{,}00090,00090, comma, 000 bacteria in the Petri dish. Write a function that models the number of bacteria ttt minutes since the medicine was introduced.

Answers

Complete Question

After a special medicine is introduced into a petri dish containing a bacterial culture, the number of bacteria remaining in the dish decreases rapidly. The number of bacteria decays by a factor of 1/15, every 6.76minutes, and can be modeled by a function, N, which depends on the amount of time, t (in minutes). Before the medicine was introduced, there were 90,000 bacteria in the Petri dish. Write a function that models the number of bacteria t minutes since the medicine was introduced.

Answer:

Nt = 90,000 × e^t/15

Step-by-step explanation:

The function that models the number of bacteria t minutes since the medicine was introduced is written as

Nt = No×e^λt

Where:

No = The initial number of the bacteria after time t

Nt = The current number of the bacteria after time t

λ = Decay constant or factor

t = Time in years

From the question,

No = 90,000 bacteria

Nt = The current number of the bacteria after time t

λ = 1/15

t = Time in years

Therefore, our function is written as:

Nt = 90,000×e^1/15 × t

Nt = 90,000 × e^t/15

Answer:

90,000*(1/15)^t/6.7

Step-by-step explanation:

Khan told me it's correct.

It took Jeremy 60.6 minutes to complete the exam. What is the duration in minutes and seconds?

Answers

Answer:

1 min 36 sec

Step-by-step explanation:

You might approach the answer in this way:

60.6 minutes = 60 minutes + 0.6 minutes, remembering that 1 min = 60 sec

                                                0.6 min      60 sec

Then we have 60 minutes + ------------- * -------------- = 1 min 36 sec

                                                      1               1 min

Answer:

1 minute, and 36 Seconds

Step-by-step explanation:

#CarryOnLearning

A sphere has a volume of 1,436 in3. What is its radius?​

Answers

Answer:

7

Step-by-step explanation:

So first you would have to know the formula for the volume of a sphere to solve for the radius. The formula is:

V=4 /3πr3

so now we plug in the variables

1,436=4/3πr3

divide by pi

457.09=4/3r3

divide by 4/3 (multiply by the reciprocal which is 3/4)

342.82=r3

Take the third root to get r by itself

r=6.998 or 7 if you will.

Solve for x if:
y = 30
x = y
- + 20
3

A) 25
B) 40
C) 50
D) 30

Answers

I can’t understand the way this problem is put on here

Answer:

30?

Step-by-step explanation:

If y is 30 and x = y. Then wouldn't x be 30 HOWEVER I'm unsure what the other part of the equation is.

cosβ=-√2/10. find the angle. plz help me​

Answers

Answer:[tex]98.13\ \text{or}\ 261.87^{\circ}[/tex]

Step-by-step explanation:

Given

[tex]\cos \beta =-\dfrac{\sqrt{2}}{10}[/tex]

As the value of cosine is negative, therefore the angle must lie in II or III quadrant

[tex]\Rightarrow \beta =\cos^{-1}(-\dfrac{\sqrt{2}}{10})\\\Rightarrow \beta=\cos^{-1}(-0.14142)\\\Rightarrow \beta =98.13^{\circ}\ \text{or}\ 270^{\circ}-8.13\\\Rightarrow \beta=98.13^{\circ}\ \text{or}\ 261.87^{\circ}[/tex]

What is the volume of the triangular prism?

Answers

Answer:

Step-by-step explanation:

6x16

6x8 (don't divide)

6x8.5 (don't divide)

8.5x16 (don't divide)

(I THINK I HAVE NO IDEA)

Simplify the expression. 9(5-3)+9v HELPPPPPPPppppppp timed

Answers

Step-by-step explanation:

Subtract the numbers

9

(

5

3

)

+

9

9({\color{#c92786}{5-3}})+9v

9(5−3)+9v

9

(

2

)

+

9

9({\color{#c92786}{2}})+9v

9(2)+9v

2

Multiply the numbers

9

2

+

9

{\color{#c92786}{9}} \cdot {\color{#c92786}{2}}+9v

9⋅2+9v

1

8

+

9

{\color{#c92786}{18}}+9v

18+9v

3

Rearrange terms

1

8

+

9

{\color{#c92786}{18+9v}}

18+9v

9

+

1

8

{\color{#c92786}{9v+18}}

9v+18

Solution

9

+

1

8

Marris decides to bake his parents a cookie in the shape of a regular dodecagon (12‑gon) for their 12-day anniversary.

A.) If the edge of the dodecagon is 6 cm, what is the area of the top of the cookie?

B.) His parents decides to divide the cookie into 12 congruent pieces.
After 9 of the pieces have been eaten, what area of the cookie is left?

Answers

Answer:

The answer to each question is:

A.) 403.2 [tex]cm^{2}[/tex] B.) 100. 8 [tex]cm^{2}[/tex]

Step-by-step explanation:

A.) To obtain the area of the dodecagon, you can use the next formula:

Area of a dodecagon = 6 * apothem * edge

In the exercise, we have the edge (6 cm), but, to find the apothem of a dodecagon, that is the distance between the center of the polygon, and the middle point of each side, you can use the next formula:

Apothem = Edge * [tex]\frac{2+\sqrt{3}}{2}[/tex]

If we replace the value of the edge, we obtain:

Apothem = 6 cm * [tex]\frac{2+\sqrt{3}}{2}[/tex]Apothem = 11.2 cm (approximately).

With this data, we can find the area:

Area of a dodecagon = 6 * apothem * edgeArea of a dodecagon = 6 * 11.2 cm * 6 cmArea of a dodecagon = 403.2 [tex]cm^{2}[/tex]

Then, the area of the dodecagon is 403.2 [tex]cm^{2}[/tex] approximately.

B.) As the area obtained is for 12 pieces, when the parents ate 9 pieces, just left 3 pieces, with these values you can make a rule of three.

If:

12 pieces = 403.2 [tex]cm^{2}[/tex]3 pieces = X

Then:

X = (3 * 403.2 [tex]cm^{2}[/tex]) / 12X = 1209.6 [tex]cm^{2}[/tex] / 12X = 100. 8 [tex]cm^{2}[/tex]

In this form, when the cookie has 3 pieces, its area is 100. 8 [tex]cm^{2}[/tex] approximately.

hii please help asap ill give brainliest thanks

Answers

Answer:

The answer should be C) Job category

sorry if I’m wrong

put it into greatest and least

Answers

Answer:

3, 1, 2

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

1.) 10.5

2.) 3[tex]\pi[/tex] + 1

3.) [tex]\sqrt{105}[/tex]

Step-by-step explanation:

Simplify each first

3[tex]\pi[/tex] + 1 ≈ 10.42

[tex]\sqrt{105}[/tex] ≈ 10.25

10.5

Order

1.) 10.5

2.) 3[tex]\pi[/tex] + 1

3.) [tex]\sqrt{105}[/tex]

can someone please help will give brainleist
pythagorean modeling ​

Answers

Answer:

we have

C=(2,-1)

B=(-2,3)

since

BC is hypotenuse

length of BC=√[(-2-2)²+(3+1)²]=√32=4√2 units is your answer

Answer:

hi.............,,,,,........

PLS HELP MOST CONFUSING TOPIC

Answers

The angles surrounding the point p are 90 degrees

Then using the angle given, find the missing angles.

JPH = 90

HJP = 49

90+49 = 139

180 - 139 = 41

Therefore JHP = 41

HLP = HJP = 49

HLP = 49

KLP = 72

KLP + HLP = 72 + 49 = 121

Therefore, HLK = 121

LP = JP = 16

JP = 16

HL = HJ = 13

HL = 13

Hope this helps! =)


The value of x can be 2 or 5
The value of y can be 3 or 12
List the possible values of
XY

Answers

Step-by-step explanation:

[tex]when \: x = 2 \: and \: y = 3 \\ xy = (2 \times 3) = 6 \\ when \: x = 2 \: and \: y = 12 \\ xy = (2 \times 12) = 24 \\ when \: x = 5 \: and \: y = 12 \\ xy = (5 \times 12) = 60 \\ when \: x = 5 \: and \: y = 3 \\ xy = (5 \times 3) = 15 \\ values \: of \: xy \: are \: 6, \: 24, \: 60, \: 15[/tex]

please heeeeeeeeeeeeeeeeeeelp

Answers

Answer:

its answer is option c .

hope it helps :)

Step-by-step explanation:

Which of the following could be true if y ≤ -75?

Answers

Hello!

Lets go through each choice, and determine if it is correct.

So, the symbol ≤, means less than or equal to. So our answer must be less than -75 or -75 on the dot.

A: y = 75

Okay, so we can tell this one is wrong off the bat. 75 is much more than -75. (Make sure you notice the symbol!) So it cannot be equal to said answer. A is wrong.

B: y =-74

Another trick question! When you are in the negatives, less is more! So -74 is actually greater than -75. This is also incorrect!

C: y > -75

This one is straight forward. Our equation up top strictly says less than or equal too, while C says greater than. Incorrect!

D: y = -75

The last answer! We see that the symbol in our equation up top says less than or equal too, and y = -75 is equal. This is the correct answer.

Our correct answer is D: y = -75

waffletowne

 

Please answer this question correctly

Answers

Answer: it is 6

Step-by-step explanation: because they are the same length.

Solve the following quadratic by
completing the square.
y = x2 – 8x + 5

Answers

Answer:

x = 4  ± √11

Step-by-step explanation:

hello :

x²-8x+5=  x² -2(4 )(x)+5

 x²-8x+5=  x² -2(4 )(x)+5 =  ( x² -2(4 )(x) +4²) -4²+5

                                      = (x-4)²-11 .....(   completing the square )

    x²-8x+5= 0   means :      (x-4)²-11 = 0

      (x-4)²=11      but : 11 =   (√11)²  =  ( - √11)²

x-4 =√11   or    x-4 =  -√11

x = 4  ± √11                                                  

Answer:

x = 4 ± [tex]\sqrt{11}[/tex]

Step-by-step explanation:

To solve the equation let y = 0 , that is

x² - 8x + 5 = 0 ( subtract 5 from both sides )

x² - 8x = - 5

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 4)x + 16 = - 5 + 16

(x - 4)² = 11 ( take the square root of both sides )

x - 4 = ± [tex]\sqrt{11}[/tex] ( add 4 to both sides )

x = 4 ± [tex]\sqrt{11}[/tex]

The volume of a prism is the product of its height and area of its base, V = Bh. A rectangular prism has a volume of 16y4 + 16y3 + 48y2 cubic units. Which could be the base area and height of the prism?

a base area of 4y square units and height of 4y2 + 4y + 12 units
a base area of 8y2 square units and height of y2 + 2y + 4 units
a base area of 12y square units and height of 4y2 + 4y + 36 units
a base area of 16y2 square units and height of y2 + y + 3 units

Answers

Answer:

We have a prism with a volume of 16y⁴ + 16y³ + 48y² cubic units.

Its volume is equal to the area of its base times its height.

Of course, for those to be the base area and height of this prism, they would have to multiply to 16y⁴ + 16y³ + 48y² cubic units.

Let's test each of these answers to see which gives us the correct volume.

--------------------------------------------------------------------------------------------------

a base area of 4y square units and height of 4y² + 4y + 12 units

We find the volume by multiplying the base area by the height...

4y(4y² + 4y + 12)

Distribute the 4y to each term inside the parentheses.

16y³ + 16y² + 48y

This is not the right volume, so these can not be dimensions of our prism.

--------------------------------------------------------------------------------------------------

a base area of 8y² square units and height of y² + 2y + 4 units

We find the volume by multiplying the base area by the height...

8y²(y² + 2y + 4)

Distribute the 8y² to each term inside the parentheses.

8y⁴ + 16y³ + 32y²

This is not the right volume, so these can not be dimensions of our prism.

--------------------------------------------------------------------------------------------------

a base area of 12y square units and height of 4y² + 4y + 36 units

We find the volume by multiplying the base area by the height...

12y(4y² + 4y + 36)

Distribute the 12y to each term inside the parentheses.

48y³ + 48y² + 432y

This is not the right volume, so these can not be dimensions of our prism.

--------------------------------------------------------------------------------------------------

a base area of 16y² square units and height of y² + y + 3 units

We find the volume by multiplying the base area by the height...

16y²(y² + y + 3)

Distribute the 16y² to each term inside the parentheses.

16y⁴ + 16y³ + 48y²

The volume fits, so these could be the base area and height of our prism.

--------------------------------------------------------------------------------------------------

D. a base area of 16y² square units and height of y² + y + 3 units

--------------------------------------------------------------------------------------------------

Step-by-step explanation:

What are the factors of 2x^2 - 10x + 12 ?
1) (x + 2) and (x + 3)
2) (x-2) and (x - 3)
3) (x + 6) and (x - 1)
4) (x - 6) and (x + 1)

Answers

The answer for your problem is going to be 4

A clothing manufacturer offers 2 different styles of jeans, relaxed fit and regular fit, in 5 different colours. How many combinations of a style and a colour are possible?

Answers

Answer:

10 combinations

Step-by-step explanation:

We can solve the above question using the Fundamental Counting Principle.

This states that:

If an event has x possible outcomes and a other event has y possible outcomes, then there are x and y total possible outcomes for the two events together.

We are told in the above question that:

Styles of jeans = 2

Number of colors = 5

Hence,the number of combinations of a style and a colour that are possible is calculated as:

5 × 2 = 10 combinations

Write the equation of the line passing
through the point (2, -1) with a slope of -3.

Answers

Answer:

y = -3x + 5

Step-by-step explanation:

(2, -1); m = -3

y - y1 = m(x - x1)

y + 1 = -3(x - 2)

y + 1 = -3x + 6

y = -3x + 5

y is inversely proportional to x^2
When x = 4, y = 3.
Find y when x= 5.

Answers

Answer:

1.92

Step-by-step explanation:

y = k/x^2

k = yx^2

k = 3 * 4^2

k =3*16=48

y = 48/x^2

y = 48/ 5^2

y = 48/25

y=1.92

6 times the quotient of 3 and 5

Answers

Answer:

ten less the quotient of a number and 3 is 6. help needed with equation!Step-by-step explanation:

Answer: I’m not sure if you’re asking for me to solve this or how to set it up. But if you solve it you get 3.6. if you have to sit it up it would be 6 x 3/5

Step-by-step explanation:

I’m really confused on how to do this anyone good with geometry?

Answers

K = 93°G = 73°D = 14°73 + 14 = 87180 - 87 = 93F = 93°F = K∠K = 93°It's really not that hard.Please let me know if I am wrong.
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