Equation of the line passing through (7,5) and (1, 2)​

Answers

Answer 1

Answer:

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

Step-by-step explanation:

Assuming this is a linear equation in the form of [tex]y = mx + b[/tex], we can first solve for the slope using [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex], for these points, the slope would be [tex]\frac{1}{2}[/tex]. Now we plug in the points to get the equation:

plugging in (7,5), we get [tex]5 = \frac{1}{2}[/tex] ×[tex]7[/tex] + [tex]b[/tex]

and solving for b, we get b = [tex]\frac{3}{2}[/tex]

therefore, the equation of the line passing through (7,5) and (1,2) is [tex]y = \frac{1}{2}x + \frac{3}{2}[/tex].

hope this helps!


Related Questions

PLS HELP GIVING BRAINLIEST Scott wishes to make a line plot of the heights in inches for a basketball team. The heights are listed below. Which line plot represents the data correctly?

74 79 78 79 82
73 82 81 80 84
74 76 69 78 84

Answers

Answer:

its the first one you listed

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

What is the perimeter of the following composite figure?

Answers

Answer:

I think it is 15. if I am wrong sorry, but if I am right mark brainliest!!

i think it’s 18….lmk if i’m right

What is the probability that a subject selected at random from the above survey is a man or agrees with the survey statement?

a) 2/3
b) 21/50
c) 18/25
d) 7/40

Answers

Answer:

c) 18/25

Step-by-step explanation:

The total of all votes is 1000.

The total of all 'agree' votes is 420.

Since it is either agrees or is a man, we can add the 300 disagree male votes to 420, making 720 / 1000.

From there we simplify 720 / 1000 -> 18 / 25

Two tickets to the movies cost $16. If two drinks add $4.56 to the total, how much change should be received from $25?

Answers

Answer:

total cost =$ 16 +$ 4.56=$ 20.56

change received = $25 - $ 20.56 = $4.44 .

Step-by-step explanation:

therefore your answer is 4,44 hope this helps

Please answer for me, image below. Thanks!

Answers

Answer: ya were right its 135

Step-by-step explanation:

we kno that QRS is 180 degrees.

so to get QRT we subtract 45 from 180.

180 - 45

135


ya were right

Answer:

135

Step-by-step explanation:

QRT and TRS add to 180

180-45=135

Select the correct statement in the table.
Given that r and s are both irrational numbers, determine which statement is true.


The values of r + s and r · s are sometimes irrational.
The value of r + s is sometimes irrational, and the value of r · s is never irrational.
The values of r + s and r · s are never irrational.
The value of r + s is always irrational, and the value of r · s is sometimes irrational.
The value of r + s is always irrational, and the value of r · s is never irrational.
The values of r + s and r · s are always irrational.
The value of r + s is never irrational, and the value of r · s is always irrational.
The value of r + s is sometimes irrational, and the value of r · s is always irrational.

Answers

Answer:

Below.

Step-by-step explanation:

The value of r + x is always irrational.

The value of r. s is sometimes irrational:

- for example √2 * √3 = √6 which is irrational,

but √3 * √3 = √9 = 3 which is rational.

Posted this earlier but it got lost. Having difficulty answering this, my original answer was incorrect. Photo is attached, please help!

Answers

1.2 would be your answer just round the second term flip your fraction and you will have your answer!

find the 70th term of the arithmetic sequence 18, 34, 50, ...

Answers

Answer:

1122

If you do 18 (the first number in the sequence) plus 69 because you have to do 70 minus 1 equals 69. So 18 plus 69 then you times 16 (how many you have to get to the next number).

18+69×16=1122

Step-by-step explanation:

Write .0043 as a percentage

Answers

Answer:

0.43%

Step-by-step explanation:

In order to change a decimal to a percentage, you multiply it by 100. You can also move the decimal point to the right two times. By doing so, you get 0.43%. Someone tell me if I did it wrong please.

What is the length of the line?

Answers

Answer:

the length of the line is 7

Step-by-step explanation:

it is b. 7

3. What is the median of this data set

Answers

Answer:

53.5

Step-by-step explanation:

First, set the numbers out as a data set:

{51 , 51 , 52 , 53 , 54 , 54 , 54 , 55}

The median is the number that is found in the middle of the set. In this case, there are 8 numbers, and the middle numbers are 53 & 54. Find the mean of the numbers:

(53 + 54)/2 = (107)/2 = 53.5

53.5 is your answer.

~

Out of 36 students in history class, three-fourths have signed up a trip to Europe? If there are 28 places available, will there be enough room?​

Answers

Answer is YES
36 x 3/4 = 27
So yes, 28 places is enough room


PLEASE HELP NOW PLEASE

Answers

Answer:

C.

Step-by-step explanation:

-5.3 rounds up to -5

7.9 rounds up to 8

sum is 3

2.4 rounds to 2, not 3

It's not reasonable

so, the answer is C.

Answer:

C. Since -5.3 rounds to -6 and 7.9 rounds to 8, the sum rounds to 2. Her answer of 2.4 is not equal to 3. So, it is not reasonable.

Step-by-step explanation:

https://brainly.com/question/27663230

A linear function has a y-intercept of -9 and a slope of 4/3 . What is the equation of the line

Answers

Answer:

[tex]y=\frac{4}{3} x-9[/tex]

Step-by-step explanation:

Here this is in standard form. Hope this helps!

Answer:

y=4/3x-9

Step-by-step explanation:

equasion for linear function is y=mx+b where y is m is slope and b is y intercept. just plug in your variables

Can someone explain how to do this plez I NEED HELP

Answers

Answer:

42

Step-by-step explanation:

well , here we can find the unknown variable which is X

127 = 3X+2 ( vertically opposite angles are equal)

127 = 3X+2

3x+2= 127

collecting like terms

3x = 127-2

3x = 125

dividing bothsides by 3

3x/3 = 125/3

x = 41.66

x = 42 (approximately)

What is the area of this composite figure?

Answers

Answer:

36.56

Step-by-step explanation:

the area of a circle is r^2×pi (here 2^2×pi) then add the area of the middle rectangle (so 4×6)


If there were 20 gallons of water left in the fish tank after the water
leaked out, how many gallons of water does the fish tank hold when
it is full

Answers

Answer:

Hope this helps. Credit to the other user.

Step-by-step explanation:

Previous
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Question
Solve 6x+1≤4x−9.

Answers

Step-by-step explanation:

6x+1≤4x−9

6x-4x≤-9-1

2x≤-10

-5≤x

inequality changes when divided or multiplied with negative

MARK ME AS BRAINLIST

A. c

B. d

C. b

D. a

Pls help!!

Answers

Answer:

d

Step-by-step explanation:

that's the answer to the question

For questions 1-2, use the Reciprocal and Quotient Identities to find each value.​

Answers

By using the reciprocal identity the value   [tex]Sin \theta[/tex] will be  [tex]\dfrac{5}{27}{[/tex]

What is Reciprocal and Quotient Identities?

In trigonometry, quotient identities refer to trig identities that are divided by each other.

So here we have

[tex]Cosec\theta = \dfrac{27}{5}[/tex]

Now we have to find the reciprocal identity,

[tex]Sin\theta=\dfrac{1}{Cosec\theta}[/tex]

[tex]Sin\theta}=\dfrac{1}{\dfrac{27} { 5} }[/tex]

[tex]Sin\theta=\dfrac{5}{27}[/tex]

hence by using the reciprocal identity the value   [tex]Sin \theta[/tex] will be  [tex]\dfrac{5}{27}{[/tex]

To know more about Reciprocating identity follow

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1.1 Penny specializes in making tablecloths. She buys fabric in rolls. The length of each roll is 100 and the standard width is 1 m. She cuts the roll into pieces of 1,5 m in length and then puts binding material at the edge of each tablecloth. A packet of binding material contains 24 pieces, each 5 cm long. Each tablecloth has 8 circular designs. Each circular design prece has a diameter of 14 cm

1.2.1 Determine the perimeter of one tablecloth

1.2.2 How many pieces of binding material required for 1 roll of fabric?

1.2.4 Calculate the area of the tablecloth that is not covered with the circular designs.

Area of a circle =​

Answers

can someone help me with c sense

Find the volume of the rectangular prism.
8 cm
10 cm
2 cm
10 cm
OA. 160.5 cm³
B. 182.4 cm³
Oc. 181.4 cm³
D. 160 cm³
2 cm

Answers

Answer:

volume= lxbxh= 10*8*2= 160 cm3

Find the equation of a parabola with a focus at (3,1) and a directrix at y = 3.

Answers

The Equation of parabola with focus (3,1) and directrix y = 3 is [tex]10x^2 + 9y^2-60x -14y+91 =0[/tex]

What is Parabola?

A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped. It fits several superficially different mathematical descriptions, which can all be proved to define exactly the same curves.

Here, focus (3,1) and directrix y=3

Let the locus of parabola be (x, y)

We know that, in Parabola

Distance between locus to focus = Distance between locus to directrix line

[tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex] = [tex]\frac{Ax_{1}+By_{1}+C }{\sqrt{A^2 + B^2 + C^2} }[/tex]

[tex]\sqrt{(x-3)^2+(y-1)^2} = \frac{0.x+1.y-3}{\sqrt{0^2+1^2+(-3)^2} }[/tex]

On squaring both sides, we get

[tex](x-3)^2 + (y-1)^2 = (\frac{y-3}{\sqrt{10} } )^2[/tex]

[tex]x^2 -6x + 9 + y^2 -2y + 1 = \frac{y^2 -6y +9}{10}[/tex]

[tex]10x^2 + 9y^2-60x -14y+91 =0[/tex]

Thus, The Equation of parabola with focus (3,1) and directrix y = 3 is [tex]10x^2 + 9y^2-60x -14y+91 =0[/tex]

Learn more about Parabola from :

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For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and determine the y-intercept. Decide which table best illustrates these values for the equation:
y = negative 2 x squared + 4
Table A
a

b

c

up or down

y-intercept
-2

0

4

down

(0,-2)

Table B
a

b

c

up or down

y-intercept
4

0

-2

down

(0,4)

Table C
a

b

c

up or down

y-intercept
-4

0

-2

down

(0,-2)

Table D
a

b

c

up or down

y-intercept
-2

0

4

down

(0,4)

a.

Table A

c.

Table C
b.

Table B

d.

Table D

Answers

The table that correctly describes the given quadratic equation is table D.

Which table correctly describes the quadratic equation?

A general quadratic equation is written as:

[tex]y = a*x^2 + b*x + c[/tex]

The y-intercept is the point (0, c), and the sign of the coefficient a determines if it opens up or down.

If a > 0, then it opens up.If a < 0, then it opens down.

In this case, the quadratic equation is:

[tex]y = -2x^2 + 4[/tex]

Then we have:

a = -2b = 0c = 4.

The y-intercept is (0, 4), and because a is negative, the parabola opens down.

Then the correct table is table D.

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What is the value of y?

Answers

The theorem is used to find the side and angles of a triangle. The value of y from the given diagram is 0.64

SOH CAH TOA identity

The given diagram are right angled triangle

From the lower triangle

sin45 = a/2√2
1/√2 = a/2√2

1 = a/2
a = 2

Determine the value of y

tan 60 = opp/adj

tan 60 =y/2

y = 2 tan60

y = 0.64

Hence the value of y from the given diagram is 0.64

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what is the approximate value of x in the exponential 4^x=14?

Answers

We know 4² = 16 , 4¹= 4

In this case we have :-

[tex] {4}^{x} = 14[/tex]

and we have to find the value of x

14 is less than 16 so x will be less than 2

14 is greater than 4 so x will be greater than 1

we can find the value of

[tex] {4}^{1.5} = {4}^{ \frac{3}{2} } \\ { (\sqrt{4}) }^{3} = {2}^{3} = 8[/tex]

so we can say 14 is much larger than 8 which means x will be much larger than 1.5

so according to above ideas we can say our answer is 2nd option which is 1.9037 is our answer

[tex]x \approx1.9037[/tex]

[tex]~~~~~~~4^x = 14 \\\\\implies \ln 4^x = \ln 14\\\\\implies x \ln 4 = \ln 14\\ \\\implies x = \dfrac{\ln 14}{ \ln 4}\\\\\implies x \approx 1.9037[/tex]

y= 2x-1 5x-4y=1 is (1, 1) a solution of the system?

Answers

Answer:

equate the two euations

y = 2x - 1 multiply by 4

4y = 8x - 4 equate with the second equation

5x - 4y = 1

5x = 8x - 4 + 1

8x - 5x = 3

3x = 3

x = 1

substitute for x in any of the two equations

y = 2x - 1

y = 2(1) - 1

y = 2 - 1

y = 1

Therefore, according the solution we have got.

Yes, (1,1) is a solution to the system.

Explain how to derive a formula for sin(A - B + C)

Answers

[tex]\textit{Sum and Difference Identities} \\\\ sin(\alpha - \beta)=sin(\alpha)cos(\beta)- cos(\alpha)sin(\beta) \\\\ cos(\alpha - \beta)= cos(\alpha)cos(\beta) + sin(\alpha)sin(\beta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ sin(A-B+C)\implies sin[~(\stackrel{Z}{A-B})~+C]\implies sin(Z+C) \\\\\\ sin(Z)cos(C)+cos(Z)sin(C)\implies sin(A-B)cos(C)+cos(A-B)sin(C) \\\\[-0.35em] ~\dotfill\\\\ \textit{and since we know that}\\\\ sin(A-B)\implies sin(A)cos(B)-cos(A)sin(B)[/tex]

[tex]cos(A-B)\implies cos(A)cos(B)+sin(A)sin(B)\\\\ then \\\\[-0.35em] ~\dotfill\\\\\ [sin(A)cos(B)-cos(A)sin(B)]cos(C)+[cos(A)cos(B)+sin(A)sin(B)]sin(C) \\\\\\ ~\hfill \begin{array}{cllll} sin(A)cos(B)cos(C)-cos(A)sin(B)cos(C)\\\\ +\\\\ cos(A)cos(B)sin(C)+sin(A)sin(B)sin(C) \end{array}~\hfill[/tex]

answer these questions:
Q- What score represents the mean?
Q-What percent of the scores were between 81 and 87?
Will give brainliest!!

Answers

It drops down then it goes back up to the main point


Together, teammates Pedro and Ricky got 2682 base hits last season. Pedro had 280 more hits than
Ricky. How many hits did each player have?

Answers

Answer:

Ricky had 1201 hits and

Pedro hade 1481 hits

Step-by-step explanation:

Let Ricky be 'y'.

Since, Pedro hit 280 mroe than Ricky.

Pedro is 'y+ 280'

Thus,

y + y+ 280 = 2682

2y = 2402

y = 1201

Ricky had 1201 hits and

Pedro hade 1201 + 280 = 1481 hits

Answer:

See below ~

Step-by-step explanation:

Let :

Hits by Ricky = xHits by Pedro = x + 280

Solving :

Mentions the sum is 2682x + x + 280 = 26822x = 2402x = 1201

Solution :

Hits by Ricky = x = 1201 hitsHits by Pedro = x + 280 = 1201 + 280 = 1481 hits
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