Find the slope-intercept form of the line that satisfies the given conditions.
Through A(−7, 5) and B(6, 11)

Answers

Answer 1

Answer:

[tex]y=\frac{6}{13}x+\frac{107}{13}[/tex]

Step-by-step explanation:

(x1, y1) = (-7, 5)

(x2, y2) = (6, 11)

The firs thing to do is fine the slope. That is the distance between the y-coordinates divided by the distance between the x-coordinates:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

I marked the points above as points 1 and 2, so you can plug those numbers into the formula:

[tex]m=\frac{11-5}{6--7}\\\\m=\frac{6}{13}[/tex]

That fraction can't be simplified any further, so the slope of this line is 6/13. The next thing to do is to find the y-intercept.

[tex]y=mx+b[/tex]

Plug the slope and any point of your choice into the equation. I'll use point b:

[tex]11=(\frac{6}{13})6+b[/tex]

Now, solve for b:

[tex]11=\frac{36}{13}+b\\\\11-\frac{36}{13}=b\\\\\frac{143}{13}-\frac{36}{13}=b\\\\\frac{107}{13}=b\\\\b=\frac{107}{13}[/tex]

They're far from clean, but those are the correct slope and y-intercept. Using those, the equation for this line is:

[tex]y=\frac{6}{13}x+\frac{107}{13}[/tex]

You can confirm that this is the correct equation by checking it with one of the points. Plug in one of the known values of x and make sure it gives the correct value of y:

[tex]y=\frac{6}{13}(-7)+\frac{107}{13}\\\\y=\frac{-42}{13}+\frac{107}{13}\\\\y=\frac{65}{13}\\\\y=5[/tex]

That works out.

Find The Slope-intercept Form Of The Line That Satisfies The Given Conditions.Through A(7, 5) And B(6,

Related Questions

Find the length of the third side. If necessary, round to the nearest tenth.

Answers

Answer:

4.5

Step-by-step explanation:

To find the hypotenuse of a right triangle, we use Pythagorean's Theorem which states that [tex]a^{2}+b^{2} =c^{2}[/tex]. Plugging in the values of the two legs given, we get [tex]2^{2} +4^{2} =c^{2} =20[/tex]. We can take the square root of each side and get that [tex]c=\sqrt{20} =4.5[/tex].

Answer:

Try 4.5 or 5

Step-by-step explanation:

I measured it up and I estimated 4.5 at most

-4.67 + (5.24 –
) – (
+ 7.98) = 13.26

Answers

Answer:

6

Step-by-step explanation:

Which system of equations is equivalent to the following system? 2x 4y = 14 4x y = 20 2x 4y = 14 â’16x â’ 4y = â’80 2x 4y = 14 â’4x y = â’20 4x 8y = â’28 4x y = 20 â’2x â’ 4y = 14 4x y = 20.

Answers

The equivalent equations of [tex]2x+ 4y = 14[/tex] and [tex]4x + y = 20[/tex]

are [tex]2x+ 4y = 14[/tex] and[tex]-16x -4y = -80[/tex]

The system of equations is given as:

[tex]2x+ 4y = 14[/tex]

[tex]4x + y = 20[/tex]

Multiply both sides of the equations by -4.

So, we have:

[tex]-4 \times (4x + y) = -4 \times 20[/tex]

Distribute the expression

[tex]-4 \times 4x -4 \times y = -4 \times 20[/tex]

Evaluate all products

[tex]-16x -4y = -80[/tex]

So, we have the following system of equations

[tex]2x+ 4y = 14[/tex]

[tex]-16x -4y = -80[/tex]

Hence, the equivalent equations are [tex]2x+ 4y = 14[/tex] and[tex]-16x -4y = -80[/tex]

Read more about equivalent equations at:

https://brainly.com/question/9603710

calculate (3×10^5) × (4×10^4) in standard form.

NEED HELP ASAP.​

Answers

Answer:

12000000000

Step-by-step explanation:

did I add too many zeros????

10 to the 5 is multiply by 10 five times (100,000)

100,000 x 3 = 300,000

For the second thing, 10 to the 4 = 10,000

10,000 x 4 = 40,000

300,000 x 40,000 = 12000000000

a pond of a water has length20m and breadth 10m. how much kl of water should be taken out of the pond so that level of water should go down by 3m?

Answers

Answer:

  600 kl

Step-by-step explanation:

The volume represented by a length of 20 m, a breadth of 10 m, and a depth of 3 m is ...

  V = (20 m)(10 m)(3 m) = 600 m³

1 m³ = 1 kl

The volume of water that should be removed is 600 kl.

You have 64 inches of blue
fabric and 96 inches of green
fabric. You want to cut the fabric
into pieces of equal length with
no leftovers. What is the greatest
length of the pieces that you can
make?

Answers

Answer:

Step-by-step explanation:

48 times for the green fabric

32 for blue

Would someone help me out?
A)56.6
B)58.4
C)53.5

Answers

Answer:

it is c

Step-by-step explanation:

Write the equation of a line with the given slope that goes through the given point.
7) through: (3, -5), slope = -1
5
8) through: (3, 2), slope
3

Answers

Answer:

  7) y +5 = -(x -3)

  8) y -2 = 5/3(x -3)

Step-by-step explanation:

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

__

7) y +5 = -(x -3)

8) y -2 = 5/3(x -3)

HELP HELP ME PLS I AM RUNNING OUT OF TIME!!!! HERE IS MY PROBLEM:
An attorney drove 9 1/4 miles from his home to a clients home and another 4 3/5 miles to get to his office. How far did he drive in total?​

Answers

Answer:

Step-by-step explanation:

To write fractions with a common denominator, you will most likely need to scale some numbers up! I will explain how.

Let's try it with the fractions

2

3

and

3

12

12 is larger than 3, so we will have to multiply the 3 by some number to equal 12. (We are really finding the Least Common Multiple of the two denominators!) To do this, you have to multiply the 3 by 4, because 3x4=12. But now the numerator doesn't match the denominator. When you scale the denominator up, you have to scale the numerator up too! So the 2 must be multiplied by 4 also.

Now you have the following:

8

12

and

3

12

These fractions now have common denominators! Now they're all set for adding or subtracting fractions.

Try another:

2

6

and

3

5

: The least common multiple of 6 and 5 is 30. (the product of the denominators)

Transform each fraction by multiplying by "1":

2

6

5

5

=

10

30

and

3

5

6

6

=

18

30

One last problem:

4

9

and

7

6

What is the least common multiple of 9 and 6? Could you use 54? Absolutely, but it is not the LEAST number that you could use. How about 18? YES!

4

9

2

2

=

8

18

and

7

6

3

3

=

21

18

Ready to go...

Hope this helped!

I need to know the values of m and n.

Answers

Answer:

A) 32 and 28

Step-by-step explanation:

A= √4².√2

= √16.√2

= √32

m= 32

B= √2². √7

=√4.√7

=√28

n= 28

2. There is a 0% chance that the earth is the closest planet to the sun.
A) unlikely
B) certain
C) likely
D) impossible

Answers

Answer:

D) Impossible

Step-by-step explanation:

Unlikely = < 50%Certain = 100%Likely = > 50%Impossible = 0%

This would be B. It is certain that there is a 0% chance of the earth being the closest planet to the sun. Mercury is the closest. Earth is the third closest behind Mercury and Venus. Hope that helps.

Solve for x help me please****

Answers

Answer:

2x-10=x

take -10 to the other side it becomes +10

take +x to the other side where there is 2x it becomes-xevaluate 2x-x=xso x=10

how to solve x^2+x-90=0 in completing the square method​

Answers

Rearrange the equation by writing

x² + x - 90 = 0

x² + x = 90

x² + x + 1/4 = 90 + 1/4

Recall that (a + b)² = a² + 2ab + b². Then

x² + 2 • x/2 + (1/2)² = 361/4

(x + 1/2)² = 361/4

x + 1/2 = ± √(361/4)

x = -1/2 ± 19/2

x = 9   or   x = -10


What is 2/3 of 9/12?

Answers

Answer:

0.5 in fraction form its 1/2.

Step-by-step explanation: hope this helps you <3.

That means
2/3 x 9/12.

So multiply numerators and denominators

18/36

Simplify

1/2

Hope this helps!
Brainliest and a like is much appreciated!

(1 x 3)+ (7 x 3) as a product of 2 factors

Answers

Answer:

3 + 21 = 24 and they are the product to the factors of 63

Step-by-step explanation:

James is planning to spend $425 on food for his vacation this summer. This is 34% of his total vacation budget. How much is James' total vacation budget?

Answers

1250$,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,



Points A, B and C lie on a circle, centre O.
Angle AOC = 142°.
Find the value of y.

Answers

The value of y in the cyclic quadrilateral with ∠AOC(142°) is 38°

The diagram above represents a cyclic quadrilateral.

A cyclic quadrilateral has all it vertices on the circumference of the circle.

Therefore,

Opposite angles are supplementary. This means they add up to 180 degrees.

Therefore,

142° + y° = 180°

subtract 142 from both sides of the equation

142 - 142 + y = 180 - 142

y = 38°

learn more about circle theorem here: https://brainly.com/question/24795394

Write an equation for the proportional relationship shown in the table.

Answers

Answer:

y = 14x

Step-by-step explanation:

First Way of Finding the Equation:

We can find the equation for this proportional relationship by subtracting two of the y-values from each other and then dividing that by the difference of two of the x-values. For now, I'll use the points (2, 28) and (1, 14).

[tex]\frac{28-14}{2-1} =\frac{14}{1} =14[/tex]

So, this proportional relationship has an equation of y = 14x.

Second Way of Finding the Equation:

Another way of finding the equation is to simply examine the table given. What are all the x-values multiplied by to get to their corresponding y-values? Well, one easy way of answering this question is looking at the point (1, 14) - 1 × 14 = 14, so the constant of proportionality must be 14.

From this information, we know that the equation must be y = 14x.

Hopefully that's helpful! :)

which expression is equal to 4 to the power of 5 times 4 to the power of -7 divided by 4 to the power of -2

Answers

Step-by-step explanation:

4⁵ × 4^-7 / 4^-2

it is important to understand that a negative exponent means 1/...

a^-n = 1/(a^n)

in that sense we have therefore

4⁵ × 1/4⁷ × 4² (as (1/ 1/a^n) = a^n)

4⁵ × 4² × 1/4⁷ = 4⁷ × 1/4⁷ = 1

so, "1" is the fully simplified expression equal to the original expression.

in a class of 33 student 18 play football 1"basketball and 7 play both games how many students play non of the games​

Answers

7 students because 18 + 1 + 7 = 26
33 - 26 = 7

19. The passing marks in an examination is 40%. If Seema gets 130 marks, she fails by ups 2 marks. Find the total marks.​

Answers

Given :-

Passing marks in an exam is 40% .Seema gets 130 marks and fails by 2 marks.

To find :-

The maximum marks for the exam .

Solution :-

According to the Question ,

[tex]\dashrightarrow[/tex] Passing marks = 40% .

[tex]\dashrightarrow[/tex] Seema's marks = 130 .

Let us take the maximum marks be x . Then ,

[tex]\dashrightarrow[/tex] Passing marks = 130 + 2

[tex]\dashrightarrow[/tex] Passing marks = 132

And , by question ,

[tex]\dashrightarrow[/tex] 40x/100 = 132

[tex]\dashrightarrow[/tex] x = 132 * 100/40

[tex]\dashrightarrow[/tex] x = 330

Hence the maximum marks for the exam is 330.

Given :

Passing marks in the examination = 40% .

Marks obtained by Seema = 130 .

So, Let us assume the maximum marks as x .

Also,

Passing marks = 132 [ ∵ Seema got 130 marks and she failed by 2 marks ]

According to the question :

[tex] \\ \tt : \implies\dfrac{40x}{100} = 132 \\ \\ \tt : \implies\dfrac{4 \cancel{0}x}{10 \cancel{0}} = 132 \\ \\ \: \: \: \tt \: : \implies 4x = 132 \times 10 \\ \\ \tt : \implies \: 4x = 1320 \\ \\ \tt : \implies \: x = \frac{1320}{4} \\ \\ \tt : \implies \: x = 330 \: \: \\ [/tex]

Hence, The total marks is 330 .

Equations that represent a line parallel to y=8x+4

Answers

y=8x+b, b being any number, is parallel to y=8x+4.

For example:

y=8x+2

y=8x+(1/2)

y=8x+937382

y=8x-4

Kelly is measuring an object with a metric ruler. To minimize parallax, she should…

Answers

Answer:

Place the ruler such that the edge is against the object. Parallax is a distortion of view because humans see through two sources, not just one. the farther the object is away from the ruler, the more that parallax can affect the situation.

Step-by-step explanation:

which statement is true?

Answers

Answer:

The slope of function A is less than the slope of function B

Explanation:

The slope for function B is 1/2, which is greaterthan 1/5, the slope of function A.

Answer:

the slope on Function A is less than Function B

Step-by-step explanation:

By doing rise over run we can get 1/2 on Function B and the Y intercept is 5 so the equation is y=1/2x+5

The quotient of s and three

Answers

Answer:

s/3

Step-by-step explanation:

The quotient means you divide the two values.

Kim's scores in the diving competition were 7.2, 6.975, 8.0, and 6.96. What is her total score?

Answers

29.135
Explanation
Hope this helps!

1.8 divided by 3 please.

Answers

Answer: 0.6 is the answer

Find the midpoint of the segment with the following endpoints. (2, -9) and (-4,-4)​

Answers

Answer:

(-1,-6.5)

Step-by-step explanation:

midpoint formula: (x_m, y_m) = (x1+x2)/2),(y1+y2)/2)

(2-4)/2=-1, -9-4=-13/2=-6.5

=(-1,-6.5)

How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!

Answers

Answer:

2

Step-by-step explanation:

3:1=6:2

They buy 2 pepperoni pizzas.

FRUIT Lilly buys fresh fruit from a fruit stand. Apples cost $5 per pound and oranges cost $4 per pound. She has $40 to spend. The table shows the function relating the number of pounds of apples, x, and the number of pounds of oranges, y, Lilly could purchase.

Answers

Answer:

Step-by-step explanation:

8 lbs of apples on the x-intercept

10lbs of peaches on y-intercept

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