Find the point-slope equation of the line using the point (1,2) and the slope of 3/2​

Find The Point-slope Equation Of The Line Using The Point (1,2) And The Slope Of 3/2

Answers

Answer 1

Point slope form: y - y1 = m(x - x1)

(x1, y1) = a point

m = slope

We are given:

(x1, y1) = (1, 2)

m = 3/2

Put into the original equation:

y - 2 = 3/2(x - 1)

Best of Luck!


Related Questions

Find the area of the semicircle. Round your answer to the nearest hundredth.
2 ft
Área: about?

Answers

Answer:

The answer would be .39

Step-by-step explanation:

So first we have to know the eqation to finding the area of a semicircle, this would be:

2r x π  ÷ 2 (r stands for radius)

Ok so since our diameter is 2 we need to divide that in half to find our radius which we would then get .5

And then you we would fill in the blanks and make our eqaution :

2 x 0.5 x 3.14  ÷ 2 which would give us the answer of .39

i have no idea if this is right so pls lmk!

Evaluate this expression.
5^2 +3 (8-2)
A. 28
B. 32
C. 43
D. 47
E. 168

Answers

Answer:

C. 43

Step-by-step explanation:

What is the distance between (-6. 2) and (8.10) on a coordinate grid?

Answers

Answer:

The distance between 2 points is 16.1 units.

Step-by-step explanation:

You have to apply distance formula using coordinates,

[tex]distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]

Let (x1,y1) be (-6,2),

Let (x2,y2) be (8,10)

[tex]distance = \sqrt{ {(8 - ( - 6))}^{2} + {(10 - 2)}^{2} } [/tex]

[tex]distance = \sqrt{196 + 64} [/tex]

[tex]distance = \sqrt{260} [/tex]

[tex]distance = 2 \sqrt{65} [/tex]

[tex]distance = 16.1 \: units \: (3s.f)[/tex]

PLEASEEE HELPPP MEE WITH THIS QUESTION!!!!!!! I REALLY NEED HELP!!!!! PLS ANSWER IT CORRECTLY NO GUESSING PLSS HELP ASAP!!!!!!!

Answers

Answer: Because each leaf will not have a single digit.  

Step-by-step explanation:

What concept did the founders of the united states borrow from the ancient greeks?

Answers

i believe it’s that they made it a democracy :) hope this helps !

What is 3x²-2 if x is -3

Answers

Answer:

Step-by-step explanation:

3x² -2 =3*(-3)²-2=3*9 - 2

         = 27 - 2

        = 25

*Some help please?*
The graph of g(x) is a transformation of the graph of f(x)=3^x.

Enter the equation for g(x).

g(x) =

Answers

Answer:

I'm sorry this is kind of a hard question

20 points if you help please!!!!!!!!!!!!

Answers

Answer:

C and E

Step-by-step explanation:

Write the equation of the hyperbola centered at the origin with focus (74, 0) and asymptote y=-7/5x
The equation of the hyperbola is =x^2/a^2-y^2/b^2=1

Answers

The equation of the given hyperbola is; x²/25 - y²/49 = 1

What is the equation of the hyperbola?

We are given;

Focus = (74, 0)

Asymptote; y = -⁷/₅x

Centered at origin

We are given that the general form of equation of a hyperbola is;

x²/a² - y²/b² = 1

Now, we know that the equations of the asymptotes are;

y = ±(b/a)x

Thus, comparing the above with our asymptote of y = -7/5x gives us;

a = 5 and b = 7

Thus, the equation of the given hyperbola is;

x²/5² - y²/7² = 1

⇒ The equation of the given hyperbola is;

x²/25 - y²/49 = 1

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Answer:

The answer is 5 and 7

Step-by-step explanation:

A pack of 6 waters costs $5.10. How much does 1 water cost?

Answers

So each bottle of water costs $0.85

look at the attached picture

Hope it will help you..

Answer:

85 cents

Step-by-step explanation:

divide 5.10 by 6

A card is drawn from a normal 52 card deck. The card number and sum are noted, the card is placed back in the deck, then another card is drawn. Find the probability that a) the first card was a queen and the second card as a 10. b) the first card was the Queen of Hearts and the second card was an 8. c) both cards were Jacks. d) the first card was the 5 of Spades and the second card was the Ace of Hearts.

Answers

Step-by-step explanation:

a) There are 4 Queens in a deck, so the probability the first card is a Queen is 4/52 = 1/13.

There are 4 10s in a deck, so the probability the second card is a 10 is 4/52 = 1/13.

The probability of both events is 1/13 × 1/13 = 1/169.

b) There is 1 Queen of Hearts in a deck, so the probability the first card is a Queen of Hearts is 1/52.

There are 4 8s in a deck, so the probability the second card is a 8 is 4/52 = 1/13.

The probability of both events is 1/52 × 1/13 = 1/676.

c) There are 4 Jacks in a deck, so the probability the first card is a Jack is 4/52 = 1/13.

There are 4 Jacks in a deck, so the probability the second card is a Jack is 4/52 = 1/13.

The probability of both events is 1/13 × 1/13 = 1/169.

d) There is 1 5 of Spades in a deck, so the probability the first card is a 5 of Spades is 1/52.

There is 1 Ace of Hearts in a deck, so the probability the first card is a Ace of Hearts is 1/52.

The probability of both events is 1/52 × 1/52 = 1/2704.

If k ∈ A ∩ B, which is the most specific location of k on the Venn diagram? I II III IV

Answers

Answer:

B) ||

Step-by-step explanation:

saw this on another page and noticed the right answer was missing here

The location of k in Venn diagram is in II region.

What is Venn Diagram?

A Venn diagram is a visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects. Circles that overlap share certain characteristics, whereas circles that do not overlap do not. Venn diagrams are useful for showing how two concepts are related and different visually.

We have,

k ∈ A ∩ B means k is an element of both A and B.

The region I is or A only and the region I|I is only B.

and, the region II is for those whose share A and B.

Also, zone II is in between zone I and zone III which is both.

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a. How long is 50% of 60 minutes?

Answers

Answer:

30 mn

Step-by-step explanation:

You need to calculate :

60 × 50% = 60×(50÷100)

                =3000÷100

                = 30

Polygon ABCD is defined by the points A(-4,2) B(-2, 4), C(1, 3) & D(2,2). Match the coordinates of the points of the transformed polygons to their correct values

Answers

Answer:

D'(-2, 2); C''(3, -1); A'''(4, -2); and B''(4, 2)

Step-by-step explanation:

See attachment for the figure.

For D', rotating the point (2, 2) 90° counterclockwise. This maps each point (x, y)→(-y, x); it takes (2, 2)→(-2, 2).  

For C'', rotating the point (1, 3) 90° clockwise.  This maps each point (x, y)→(y, -x); it takes (1, 3)→(3, -1).

For A''', rotating the point (-4, 2) 180° clockwise.  This maps every point (x, y)→(-x, -y); it takes (-4, 2)→(4, -2).

For B'', rotating the point (-2, 4) 270° counterclockwise.  This is the similar as rotating the point 90° clockwise.  This maps every point (x, y)→(y, -x); it takes (-2, 4)→(4, 2).

If f(x)= x-3 over x and g(x)= 5x-4 what is the domain of (f•g)(x)

Answers

Answer:

I attached the work to your problem below.

I hope it helps.

Identify the zero(s) of [tex]f(x)=4x^{2} - 20x - 56[/tex]. -- Urgent 10 minutes! Many points!

Answers

Answer:

x = - 2, x = 7

Step-by-step explanation:

Given

f(x) = 4x² - 20x - 56

To find the zeros let f(x) = 0, that is

4x² - 20x - 56 = 0 ( divide through by 4 )

x² - 5x - 14 = 0 ← in standard form

(x - 7)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 7 = 0 ⇒ x = 7

Algebra sucks help me

Answers

Answer:

The answer would be D

Step-by-step explanation:

It is the only one that makes sense ;-;

(hope this is correct)

Is 313756 divisible by 9?

Answers

Answer:

No.

Step-by-step explanation:

313756 is not divisible by 9 .

Easy way to find it out. - 313756

3+1+3+7+5+6 = 25

25 is not divisible by 3...so , it is not divisible by 9 too

Hope it helps you

PLEASE HELP - One of the solutions to the x to the second power -14x + 45 =0 is x=5. What is the other solution?
- I think the answer is either 9 or -9!!! Please tell me what u think, thank u!! Very appreciateddd :))

Answers

Step-by-step explanation:

x^2 -14x + 45 =0

look for two numbers that their :

sum= - 14 (-5 & -9)

products = 45 (-5 & -9)

so,

(x-5)(x-9)=0

thus,

x=5, x=9 (ANS)

A rectangular swimming pool is 10 meters long and 4.5 meters wide. If the volume of the
water in the pool is 72 cubic meters, how deep is the water?
(4 Points)
Hin Volume
h Identh

Answers

Answer: 1.6 meters deep

Step-by-step explanation:

LxWxH

10x4.5 = 45

45x1.6 = 72

Answer:

[tex]1.6m[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

To the nearest hundredth, what is the circumference of a circle with a radius
of 5 units?

Answers

Answer:

31.42

Step-by-step explanation:

I think that's right. Hopefully it is.

An artist can sell 20 copies of a painting at $100 each, but for each additional copy he makes, the value of each painting will go down by a dollar. Thus, if 22 copies are made, each will sell for $98. How many copies should he make to maximize his sales?

Answers

Answer:

60 copies

Step-by-step explanation:

Answer: 60 copies

Step-by-step explanation:

3x-2= 4x+9/3 whats the solution

Answers

The answer is x=-5
Hope this helps!
3 x - 2 = 4 x + 9/3

Multiply both sides of the equation by 3

9 x - 6 = 4x + 9

Move variable to the left-hand side and change its sign

9 x - 4 x - 6 = 9

Collect like terms

5 x = 9 + 6

Divide both side of the equation by 5


X = 3


And you answer is X = 3


Thanks :)

The two line plots below show the times that Marco and Antonio ran in ten trials of the 40-yard dash.

antonio's:4.5,4.5,4.6,4.6,4.6,4.8,4.8,5.2,5.2,5.3,5.5

Marcos's:4.8,4.8,4.9,4.9,4.9,4.9,5.0,5.0,5.0,5.1

Which of the following can be inferred from the data?

A. Antonio runs the race faster than Marco on average.

B. Marco always runs a better time than Antonio.

C. Marco is more likely than Antonio to improve after a poor race.

D. Antonio's average time is about 5.1 seconds,


Answers

Step-by-step explanation:

The answer is A

Bcz In a race runs faster whoever does it in less time

A student got 78 marks out of a possible 120. Express the students mark as a percentage

Answers

The answer is 65%


(78/120)*100

=65%

The student's mark can be expressed as 65%.

To express the student's mark as a percentage, you need to divide the number of marks obtained by the possible marks and multiply by 100.

In this case, the student got 78 marks out of a possible 120.

Percentage = (Marks Obtained / Possible Marks) * 100

Percentage = (78 / 120) x 100

Percentage = 0.65 x 100

Percentage = 65%

Therefore, the student's mark can be expressed as 65%.

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The radius of a circle is 2 units.what is it’s circumference

Answers

Answer:

see below

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

C = 2 * pi *2

C = 4pi

Let pi = 3.14

C = 4 * 3.14

C =12.56

Using the pi button

C =12.56637061

Answer:

12.571428...units or [tex]\frac{88}{7}[/tex]

Step-by-step explanation:

Circumference of a circle= [tex]2\pi r[/tex]

Radius(r)= 2 units

∴Circumference= [tex]2*\frac{22}{7}*2 units[/tex]

                            = [tex]\frac{88}{7} units[/tex]

                            = 12.571428.....units


6.4 m
12m
12.5 m
rectangular prism

Answers

Answer:

Volume: 9500 m^3

Step-by-step explanation:

6.4 * 12 = 76.8

76.8 * 12.5 = 9500

Which is greater, 4.87 x 10^9 or 9.212 x 10^8?
please helpp

Answers

Answer: 4.87 x 10^9  is greater than 9.212 *10^8

Step-by-step explanation:

4.87 x 10^9  is greater than 9.212 *10^8 because it has the greater exponent.

4.87 * 10^9 =  4,870,000,000

9.212 *10^8= 921,200,000

4,870,000,000 > 921,200,000

A fountain is made up of two semicircles and a quarter circle. Find the perimeter of the fountain. Round your answer to the nearest tenth. The perimeter of the fountain is about a feet.

Answers

complete question:

A fountain is made up of two semicircles and a quarter circle. The diameter of the semicircles is 10 ft.  Find the perimeter of the fountain. Round your answer to the nearest tenth.  The picture is represented below.

Answer:

The perimeter of the fountain = 47.1  ft

Step-by-step explanation:

The fountain has 2 semi circle from a smaller circle with the diameter represented as 10 ft and a quarter circle from a bigger circle with the radius equals to 10 ft.

The perimeter is the distance around the fountain.The perimeter is the circumference in circular perspective. Therefore,

perimeter for a full circle = 2πr

Half circle = 2πr/2 = πr

For 2 half circle = πr + πr = 2πr

For 2 half circle = 2πr

r = 10/2 = 5

perimeter for 2 half circle = 2 ×  5 × 3.14 = 31.4  ft

Perimeter for the quarter circle

r = 10 ft

Quarter circle perimeter = 1/4 × 2πr = πr/2

Quarter circle perimeter = (3.14 × 10)/2

Quarter circle perimeter = (31.4)/2

Quarter circle perimeter = 15.7  ft

The perimeter of the fountain = 15.7  ft + 31.4  ft = 47.1  ft

Answer:

47.1

Step-by-step explanation:

47.1

please make me branlyest

Solve the inequality

-7x + 12 = 75

Answers

Answer:

12/75 = 4/25

Step-by-step explanation:

Answer: x = -9

Explanation:

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