Determine the equation of the line that passes through A(2,-5) and B(6,-3).

Answers

Answer 1

Answer:

y = 1/2x - 6

Step-by-step explanation:

y2 - y1 / x2 - x1

-3 - (-5) / 6 - 2

2/4

= 1/2

y = 1/2x + b

-3 = 1/2(6) + b

-3 = 3 + b

-6 = b


Related Questions

Which numbers are a distance of 6 units from 2 on the number line? Select the location on the number line to plot each point.
-5 -4 -3 -2 -1 0 +EEE 4 5 6 7 8 9 10 1 2 3​

Answers

Answer:

We reach at 8.

Step-by-step explanation:

The starting point is 2 .

Jump at the six places, the final point reaches at 8, so the point is 8.

Help me please this is due today and it’s late help help!!

Answers

Step-by-step explanation:

I know A is one because positives and negitives are oppisite but i dont know if there are more

line m is perpendicular to line n if the slope of line m is 3/2 what is the slope of line n

Answers

Answer:

definantly 3/2

Step-by-step explanation:

perpendicular means same slope

The formula for the volume of a cylinder is Y = gr). Solve y = grn for h, the height of the cylinder. O A. = O B. has Yr2 OC. h - TV O D. h =


PLEASE HELP ASAPPPPPPPPPPPPP​

Answers

since we have to solve the given formula for h(height) so, the correct option is (a)

A car travels at a speed of s miles per hour. It covers 126 miles in 3 hours.
The equation that can be used to find the value of s is
× s = ??

The speed of the car is ??
miles per hour.

PLEASE HELP (also thanks for the answers on the last couple of questions yall)

Answers

Answer:

Step-by-step explanation:

This is a distance = rate times time problem where you are calling the rate "speed" instead. So our formula for distance then is distance = speed times time which is

d = st

The distance traveled in 126 miles and the time it took to do this was 3 hours. Filling in those values gives us

126 = s3 or

126 = 3s since multiplication is commutative. Solve for s by dividing both sides by 3 to get

s = 126/3 which is

s = 42 miles per hour

Sarah makes 5 ribbons the first day. On the second day she doubles the number of
ribbons made in the first day. On the third day she doubles the number what she made
on the second day. How many ribbons has she made on the third day?

Answers

20 ribbons

Explanation:
1st day— 5 ribbons
2nd day—2 x 5 = 10 ribbbns
3rd day— 2 x 10 = 20

Hope this helps

I believe your answer is 20

Step-by-step explanation: When you double 5, you get 10, which would be the amout of ribbons she made on the second day, if you double 10, you get 20.

I hope this helps!

Written as a simplified polynomial in standard form, what is the result when (2x - 7) ^ 2 is subtracted from 1?

Answers

Answer:

ans: -4( x-3 )( x-4 ) I.e -4( x² + x - 12 )

Step-by-step explanation:

as per question

1- (2x-7)²

= (1 + 2x - 7)(1- 2x + 7)

= ( 2x - 6)(-2x +8)

= -4(x-3)(x+4)

The simplified form of [tex](2x-7)^{2}[/tex] is [tex]4x^{2} +49-28x[/tex].

And we get, [tex]-4x^{2} -48+28x[/tex] when we subtract [tex](2x-7)^{2}[/tex] from 1.

What is the polynomial?

Polynomials are algebraic expressions that consist of variables and coefficients.

What is the identity for [tex](a-b)^{2}[/tex]?

[tex](a-b)^{2} =a^{2} +b^{2} -2ab[/tex]

According to the given question

We have a polynomial [tex](2x -7)^{2}[/tex].

Therefore, the simplified form of [tex](2x-7)^{2}[/tex] is given by

[tex](2x-7)^{2} =(2x)^{2} +(7)^{2} -2(2x)(7)[/tex]

⇒[tex](2x-7)^{2} =4x^{2} +49-28x[/tex]

Therefore, the simplified form of [tex](2x-7)^{2}[/tex] is [tex]4x^{2} +49-28x[/tex].

Now,

[tex]1-(4x^{2} +49-28x)= 1-4x^{2} -49+28x[/tex]

⇒[tex]1-(4x^{2} +49-28x)=-4x^{2} -48+28x[/tex]

Hence, we get [tex]-4x^{2} -48+28x[/tex] when we subtract [tex](2x-7)^{2}[/tex] from 1.

Learn more about polynomials here:

https://brainly.com/question/11536910

#SPJ2

Help pls!! this is a presentation I’m doing in class and I NEED this completed rn, ASAP!!! . What I need is just the answers for the picture below and I NEED the explanation to all of them, and if you can pls try to give a similar example to these and solve it or what did u use to solve it. (Only 1 example that is similar) Thank you so much!

Answers

15. 70° because a right angle is 90° and we have the angle of ADB which is 20°. So 90°-20°=70°.

16. 70° because angle PSQ is 60° and angle QSR is 10°. So 60°+10°=70°.

17. 55° because it says it in the explanation. I assume this is a typo and they meant to ask the measurement of ADC and in that case it would be 130° because angle ADB is 75° and angle BDC is 55°. 75°+55°=130°.

18. 40° because angle PSQ is a right angle which means it's 90°. So 130°-90°=40°.

19. 140° because angle ADB is 120° and angle BDC is 20° so 120°+20°=140°.

20. 125° because again it's in the explanation. But if it's a typo and they meant what is the measurement of PSQ then it is 50° because PSR is 125° and QSR is 75° so 125°-75°=50°.

Hope this helps! :)

Helppp meeeee plzzzzzxxzz

Answers

Answer:

You will save $20.

Step-by-step explanation:

IMPORTANT FORMULA: TO CONVERT A NUMBER TO A PERCENT, YOU HAVE TO MULTIPLY BY 100. TO CONVERT A PERCENT TO A NUMBER, YOU HAVE TO DIVIDE BY 100.

1) Some percent of an amount is what?  

Using the formula above, I can conclude that 40% is equal to 40/100=4/10=2/5

2) Translate into an equation.

It is important to keep in mind that we are trying to find 40% of $50 in order to find out how much money will be saved.

In the above step, we already found that 40% = 2/5.

I also know that, in mathematics, the word "of" means multiplication.

Therefore, I am trying to find 40% of $50 is the same as 2/5 * $50.

2/5 * $50 = x    ------ (x represents the money saved)

3) Solve for variable.

$20 = x

4) Write a sentence to answer the question.

You will save $20.

Your savings 20 bucks

Prove algebraically that the straight line with equation x = 2y + 5 is
a tangent to the circle with equation x2 + y2 = 5

Answers

Answer:

[tex]{ \tt{line : x = 2y + 5}} \\ { \tt{circle : {x}^{2} + {y}^{2} = 5}} \\ substitute \: line \: in \: circle \\ { \tt{ {(2y + 5)}^{2} + {y}^{2} = 5 }} \\ { \tt{4 {y}^{2} + 20y + 25 + {y}^{2} = 5}} \\ { \tt{5 {y}^{2} + 20y + 20 = 0 }} \\ { \tt{ {y}^{2} + 4y + 4 = 0 }} \\ y = - 2 \\ x = 2( - 2) + 5 = 1 \\ { \tt{centre = ( - 1, \: 2)}} \\ { \tt{radius = 5 \: units}} \\ hence \: proved[/tex]

Answer:

radius 5

centre -1,2

Step-by-step explanation:

A student multiplied 4986 by 45 instead of multiplying by 54. By how much was his answer greater than the correct answer? Mention the property used.

Answers

Answer:

So, the difference is 44874.

Step-by-step explanation:

Multiplication of 4986 by 45

= 4986 x 45 = 224370

Multiplication of 4986 by 54

= 4986 x 54 = 269244

So, the difference in results is

= 269244 - 224370 = 44874

The distance required to stop a car varies directly as the square of its speed.if 250 feet are required to stop a car traveling 60 miles per hour, how many feet are required to stop a car traveling 96miles per hour​

Answers

Answer:

640 feet.

Step-by-step explanation:

Let d represent the distance required to stop and let s represent the speed of the car.

The distance required to stop varies directly as the square of its speed. In other words:

[tex]d=ks^2[/tex]

Where k is the constant of variation.

250 feet are required to stop a car traveling 60 miles per hour. Substitute:

[tex](250)=k(60)^2[/tex]

Simplify and solve for k:

[tex]\displaystyle 3600k=250\Rightarrow k=\frac{250}{3600}=\frac{25}{360}=\frac{5}{72}[/tex]

So, our equation is:

[tex]\displaystyle d=\frac{5}{72}s^2[/tex]

Then the distance required to stop a car traveling 96 miles per hour will be:

[tex]\displaystyle d=\frac{5}{72}(96)^2=\frac{5}{72}(9216)=640\text{ feet}[/tex]

wich is a solution to (x-3)(x+9)=-27?​

Answers

Answer:

=0=−6

Step-by-step explanation:

Please help on number 15 thank you!

Answers

It's b because it's b !

Name a point that is collinear with points E and H

Answers

Answer:

Point J

Step-by-step explanation:

The image of the points are missing and so i have attached it.

Collinear points are simply points that are on the same line.

From the attached image, we see that points E and H are on the same line of the cube.

Now, the other point that lies on that same line as seen in the image is point J.

Thus, point J is collinear to points E & H.

Share £35 in the ratio 4:1​

Answers

Answer:

£28 : £7

Step-by-step explanation:

sum the parts of the ratio, 4 + 1 = 5 parts

Divide the quantity by 5 to find the value of one part of the ratio

£35 ÷ 5 = £7 , then

4 parts = 4 × £7 = £28

£35 = £28 : £7 in the ratio 4 : 1

Question is in picture

Answers

Answer:

obtion b and d

Step-by-step explanation:

4x + 5 = -4x + 5

4x + 4x = 5 - 5

8x = 0

x = 0/8

x = 0     (this has solution)

-4x + 5 = -4x - 4

-4x + 4x = -4 + 5

0 = -1   (this has no solution)

5x + 5 = -4x - 4

5x + 4x = -4 - 5

9x = -9

x = -9/9

x = -1                   (this has solution)

-4x + 5 = -4x - 5

-4x + 4x = -5 -5

0 = -10       (this has no solution)

6. Is this a relation? Is this a function? Why or why not?

Answers

Answer:

the given relation is function because all elements of domain is mapped with the elements of range

It is called a function

part ion even know of the hardest test

Answers

Given:

The equation of a line is:

[tex]y=-\dfrac{5}{7}x+2[/tex]

A line passes through the point (-5,-3) and perpendicular to the given line.

To find:

The equation of the line.

Solution:

Slope intercept form of a line is:

[tex]y=mx+b[/tex]                 ...(i)

Where, m is the slope and b is the y-intercept.

We have,

[tex]y=-\dfrac{5}{7}x+2[/tex]          ...(ii)

On comparing (i) and (ii), we get

[tex]m=-\dfrac{5}{7}[/tex]

We know that the product of slopes of two perpendicular lines is always -1.

[tex]m_1\times m_2=-1[/tex]

[tex]-\dfrac{5}{7}\times m_2=-1[/tex]

[tex]m_2=\dfrac{7}{5}[/tex]

Slope of the required line is [tex]\dfrac{7}{5}[/tex] and it passes through the point (-5,-3). So, the equation of the line is:

[tex]y-y_1=m_2(x-x_1)[/tex]

[tex]y-(-3)=\dfrac{7}{5}(x-(-5))[/tex]

[tex]y+3=\dfrac{7}{5}(x+5)[/tex]

Using distributive property, we get

[tex]y+3=\dfrac{7}{5}(x)+\dfrac{7}{5}(5)[/tex]

[tex]y+3=\dfrac{7}{5}x+7[/tex]

[tex]y=\dfrac{7}{5}x+7-3[/tex]

[tex]y=\dfrac{7}{5}x+4[/tex]

Therefore, the equation of the line is [tex]y=\dfrac{7}{5}x+4[/tex]. Hence, option A is correct.

Five hundred fifteen billion, eight hundred fifty-seven million, five hundred forty-nine thousand, forty-eight

Answers

Answer:

515,857,549,048

Step-by-step explanation:

I guess you are to write in numerals

Five hundred fifteen billion = 515,000,000,000

eight hundred fifty-seven million = 857,000,000

five hundred forty-nine thousand = 549,000

forty-eight = 48

Total = 515,000,000,000 + 857,000,000 + 549,000 + 48

= 515,857,549,048

Therefore,

Five hundred fifteen billion, eight hundred fifty-seven million, five hundred forty-nine thousand, forty-eight = 515,857,549,048

A flower shop has 8 bouquets of red lilies, 5 bouquets of pink lies and 7 bouquets of violet lilies. Raymond who is colorblind buys his gf a bouquet of lilies. What is the probability of raymond not picking red lilies

Answers

Answer:

12/20, or 3/5

Step-by-step explanation:

To find the probability of Raymond not picking red lillies, we first must establish the total amount Raymond can choose from as well as the amount of non-red lillies.

The total amount Raymond can choose from is the amount of bouqets. There are 8 red ones, 5 pink ones, and 7 violet ones. This means that there are 8+5+7=20 total bouquets.

The amount of non-red lillies is determined because we are asked to find the probability of selecting a non-red bouquet. We find the number of non-red bouquets by subtracting the total (20) by the number of red bouquets (8) to get 12.

Therefore, the total amount is 20 and the number of non-red bouquets is 12. Thus, if Raymond picks one bouquet, the probability of him selecting a non-red one is 12/20, or 3/5. The probability of him picking up a red bouquet, similarly, would be 8/20, as there are 8 options of red bouquets out of 20 total

What is the area please

Answers

Answer:

A1 = Triangle (this can be calculated using the formula 1/2×base×height. Base =9 and height =13)

A2 = Square (3×5=15)

Add A1 + A2 to get the total area = 73.5

if you apply the changes below to the linear parent, f(X)=x, what is the equation of the new function vertically stretch by multiplying by 3. flip over the x-axis

Answers

Answer:

f(x) = -3x

Step-by-step explanation:

f(x) = -3x

What type of polynomial is: 2x - 4x^3 - 7 + 6x^2
A. quadratic
B. linear
C. quartic
D. cubic

Answers

Answer:

Option D

Step-by-step explanation:

Given polynomial :-

=> 2x - 4x³ -7 + 6x²

Here the highest degree of variable is 3 ,

Therefore it is a cubic polynomial .

please help and explain answer

Answers

ABCD is square so AB = BC = CD = AD
10 - x = x - 8 so x= 9 then AD will be 1yd, i guess im not sure bc i dunno the 2x-17 for :((

pls help I was sick from school and have some much more work to do have a good day yall​

Answers

Answer:

3 hours :)

Step-by-step explanation:

5 km x 3 = 15km

also i hope you can catch up on ur work :)

The volume of 10 drops of liquid is 0.1 fluid ounces.
What is the volume of 10,000 drops

Answers

Answer:

10,000 drops would be 1 fluid ounce

Step-by-step explanation:

PLEASE HELP!!!! it’s very urgent due in 10 minutes please help ASAP!

Answers

Answer:

s is bigger than m because m is small

On the image below, which is the correct answer?

Answers

Answer:

d

Step-by-step explanation:

its the correct answer

Hope this helps:)

Multiple Choice:
Suppose a triangle has sides 3, 4, and 5. Which of the following MUST be true?

A. The triangle in question may or may not be a right triangle.

B. The triangle in question is a right triangle.

C. The triangle in question is not a right triangle.

Answers

Answer:

b. the triangle is not a right triangle

Step-by-step explanation:

Answer:

The triangle in this particular question may or may not be a right angled triangle

Step-by-step explanation:

~basically triangle are known to have 3 sides otherwise we would not call it a triangle...however in this particular question they may be no definite answer and triangle with 3 sides can be any sort of triangle:

-isosceles triangle with 3 uneven sides

-right angled triangle like stated with an hypotenuse

or

-scalene triangle with simply to equal sides...

glad I could help thumbs

disclaimer this answer may not be accurate and I do not take any responsibility if this answer is wrong thank you

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