Miguel is calculating the slope of a line of best-fit in the scatterplot below.
Which pair of points would be best for Miguel to use?
P and W
Q and v
R and U
(hurry)

===============================================

First we need the equation of line AB. Compute the slope through (-3,-1) and (4,4)

m = (y2-y1)/(x2-x1)

m = (4-(-1))/(4-(-3))

m = (4+1)/(4+3)

m = 5/7

This is the slope through points A and B, ie the slope of line AB.

To get the slope of line BC, we flip the fraction and change the sign.

Doing so has us go from 5/7 to -7/5. Note how 5/7 and -7/5 multiply to -1.

The slope of line BC is -7/5. Let m = -7/5.

--------

Use (x,y) = (4,4) along with m =-7/5 to find the equation of line BC

y = mx+b

4 = (-7/5)(4) + b

4 = -28/5 + b

20 = -28 + 5b ... multiply every term by 5 to clear out the fraction

20+28 = 5b

48 = 5b

5b = 48

b = 48/5

With m = -7/5 and b = 48/5, we go from y = mx+b to y = (-7/5)x+48/5

The slope intercept form for line BC is y = (-7/5)x+48/5

--------

Let's get this into standard form Ax+By = C

y = (-7/5)x+48/5

5y = -7x + 48 .... multiply everything by 5

7x+5y = 48 .... is one way to represent the equation in standard form

-7x - 5y = -48 ... your teacher has decided (for some reason) to multiply both sides by -1

Answer:

-5y-7y=-48

Step-by-step explanation:

distance between BC (4,4) C(x,y)

BC is perpendicular on AB (perpendicular line has opposite reciprocal slope)

slope of AB=y2-y1/x2-x1=4-(-1)/4-(-3)=5/7

slope of BC=-7/5

now input the value of B (4.4) and C(x,y)

y=mx+b

4=-7/5(4)+b

b=4+28/5

b=48/5

y=-7/5x+48/5

5y=-7x+48

5y+7x=48 multipy by -1

-5y-7y=-48

Answer:

Hello There. ☆~---~--___●♡●__~--☆ Since p = x² - 7, you can substitute/plug in p for x² - 7

So:

(x² - 7)² - 4x² + 28 = 5

(p)² - 4x² + 28 = 5   You can factor out -4 from (-4x² + 28)

p² - 4(x² - 7) = 5        Plug in p

p² - 4p = 5        Subtract 5

p² - 4p - 5 = 0  And, your correct answer is C.

Hope It Helps!~

ItsNobody~ ☆

Answer:

32-(7-17)+11

32-(-10)+11

32+11-(-10)

43-(-10)

53

Answer:

(x-1.3)^2 + (y+3.5)^2 = 37

Step-by-step explanation:

The equation of a circle is given by

(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius

(x-1.3)^2 + (y--3.5)^2 = (sqrt(37))^2

(x-1.3)^2 + (y+3.5)^2 = 37

Answer:

[tex]\boxed{-9x^3-18x^2 + 15x}[/tex]

Step-by-step explanation:

(3x²+6x-5)(-3x)

Apply distributive law.

-3x(3x²)-3x(6x)-3x(-5)

Simplify.

-9x³ - 18x² + 15x

Answer:

[tex] \boxed{\red{ - 9 {x}^{3} - 18 {x}^{2} + 15x}}[/tex]

Step-by-step explanation:

[tex] ( - 3x)(3 {x}^{2} + 6x - 5) \\ - 3x(3 {x}^{2} ) - 3x(6x) - 3x( - 5) \\ = - 9 {x}^{3} - 18 {x}^{2} + 15x[/tex]

Answer:

[tex]y=-18[/tex]

Step-by-step explanation:

[tex]y=4x+2[/tex] for [tex]x=-5[/tex]

[tex]y=4(-5)+2\\y=-20+2\\y=-18[/tex]

Answer:

y = -18

Step-by-step explanation:

y = 4x+2

Let x = -5

y = 4(-5) +2

y = -20 +2

y = -18

Answer:

2 by 3

Step-by-step explanation:

please mark brainliest if it helped

Answer:

90 ft²

Step-by-step explanation:

Given the sides of similar figures in the ratio a : b, then

ratio of areas = a² : b²

Here ratio of sides = 1 : 3 , thus

ratio of areas = 1² : 3² = 1 : 9

That is the surface area of the new solid is 9 times the first

SA = 9 × 10 = 90 ft²

The total surface area of the new solid in square feet is 90 square feet

Let the solid be a cube.

The surface area of a cube = 6L²

L is the length o the cube;

If the surface area of a solid is 10 square feet, then;

10 = 6L²

L² = 10/6

L = √10/6

If the dimensions of a similar solid are  three times as great as the first, then;

New length Ln = 3√10/6

Total surface area of the new solid = 6Ln²

Total surface area of the new solid = 6(3√10/6)²

Total surface area of the new solid = 6(9*10/6)

Total surface area of the new solid = 6(90/6)

Total surface area of the new solid = 90 square feet

This shows that the total surface area of the new solid in square feet is 90 square feet

Learn more here: https://brainly.com/question/23756628

Answer:

[tex]\large \boxed{\sf \ \ y=-2 \ \ }[/tex]

Step-by-step explanation:

Hello,

To guess the end behaviours when x tends to [tex]\infty[/tex] you only take into account the highest terms of polynomial expressions.

So the expression will be equivalent to

[tex]\dfrac{-2x^2}{x^2}=-2[/tex]

In other words we can say

[tex]\displaystyle \lim_{x\rightarrow+\infty} \dfrac{-2x^2+3x+6}{x^2+1}=\lim_{x\rightarrow+\infty} \dfrac{-2x^2}{x^2}=-2\\\\\displaystyle \lim_{x\rightarrow-\infty} \dfrac{-2x^2+3x+6}{x^2+1}=\lim_{x\rightarrow-\infty} \dfrac{-2x^2}{x^2}=-2\\\\[/tex]

So, the correct answer is y = -2

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

18x-2

Step-by-step explanation:

Answer:

u=9n

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

P(left) = 0.10

Expected number of lefties among high school grads of 424

= 424 * 0.10

= 42 (to the nearest person)

Answer:

you do 20% of 424

1 0% of 424 =42.4

you could round it to 42

Answer:

1 out of 6 because you have only one chance to get 4.

Step-by-step explanation:

Answer:

50% chance

Step-by-step explanation:

A prime number is a number that a natural number greater than 1 that is not a product of two smaller natural numbers. And the only prime numbers between 1 and 6 are 2,3, and 5. This is 3 numbers. So he has a chance of 3/6 =.5=50%

Answer:

(0.5, 8.5)

Step-by-step explanation:

use this formula ((x1+x2/2), (y1+y2/2)) if you use desmos graphing calculator and you type this formula in, all you have to do it put in the correct numbers and you get your midpoint.

Hope this helped :)

The midpoint of the segment between the points (−5,13) and (6,4) are (0.5 and 8.5)

We have given that, the points (−5,13) and (6,4)

We have to determine the midpoints

((x1+x2/2), (y1+y2/2))

x1=-5,x2=6,y1=13 and y2=4

-5+6/2=1/2=0.5

and next is,

13+4/2=17/2=8.5

The midpoint of the segment between the points (−5,13) and (6,4) are (0.5 and 8.5)

To learn more about the midpoint visit:

https://brainly.com/question/5566419

#sPJ2

Answer:

The correct option is;

Choice A 4·(n - 3) - 6·n

Step-by-step explanation:

The given expression is

Which gives;-6·n+(-12)+4·n

- 12 + 4·n-6·n = -2·n - 12 = - (2·n + 12)

The options given are Choice A and/or Choice B;

(Choice A) 4·(n - 3) - 6·n

Which can be simplified as follows;

4·(n - 3) - 6·n = 4·n - 12 - 6·n

Which gives;

4·n - 12 - 6·n = 4·n  - 6·n- 12 = -2·n - 12 = -(2·n + 12)

Therefore, 4·(n - 3) - 6·n is equivalent to -6·n+(-12)+4·n

For choice B, we have;

2·(2·n - 6) which gives;

2·(2·n - 6) = 4·n - 12

Therefore, 2·(2·n - 6) is not equivalent to -6·n+(-12)+4·n

Which gives the correct option as Choice A.

4(n-3)-6n

Khan academy I got this right

Answer:

1950

Step-by-step explanation:

3000×35/100

=1050

so 3000-1050

=1950

Answer:

-2

Step-by-step explanation:

3n+2n+4=9n+12

5n+4=9n+12

5n-9n=-4+12

-4n=8

n=8/-4

n= -2

Answer:

-2

Step-by-step explanation:

I got this right in my assignment.

Answer:

$491.56

Step-by-step explanation:

Total number of hours worked by Frieda = 26 hours 13 minutes

lets convert 13 minutes to hour

60 minutes = 1 hour\

1 minutes = 1/60 hours

13 minutes = 13/60 hours

Thus,

Total number of hours worked by Frieda = (26 + 13/60) hours

In 1 hours Freida earns =  $18.75

in  (26 + 13/60) hours Frieda earns =  $18.75((26 + 13/60)) = 487.5 + 4.06

in  (26 + 13/60) hours Frieda earns = $491.56  (Answer)

Answer:

0.9355

Step-by-step explanation:

What we will use here is conditional probability formula.

let A be the event that the plane departs on time

and B be the event that it arrives on time

P(A) = 0.87

P(B|A) = 0.93

P(B) = ?

P(A n B) = ?

Mathematically;

P(B|A) = P(B nA)/P(A)

0.93 = 0.87/P(A)

P(A) = 0.87/0.93

P(A) = 0.935483870967742

which is 0.9355 to four decimal places

Answer:

The annual gross income of the server is $52936

Step-by-step explanation:

The server works four 6-hour shift a week.

the server earns $9.75/h

An average seller sells $1400 in a single shift, and makes 14% tip of a bill.

For the 6-hour shift, the server earns

6 x $9.75 = $58.5 a shift

in a week, the total money made for the four shifts in a week will be

4 x $58.5 = $234

The server makes an average of 14% of a bill, and makes about  $1400 in a single shift.

In a single shift he makes a tip of

14% of $1400 = 0.14 x $1400 = $196

in a week he makes 4 x $196 = $784

Total money the server makes in a week is

==> $234 + $784 = $1018

There are 52 weeks in a year.

The server's annual gross income will be

52 x $1018 = $52936

Answer:

37

Step-by-step explanation:

Answer:

D. 37

Step-by-step explanation:

Your choice is correct!

Answer:

9 = k :)

Step-by-step explanation:

1. distribute 3 to the -1/4 k and to the 3 and get -3/4 k + 9 = 1/4 k

2. add 3/4 k to both sides and get 9 = k

Answer:

3x³ - 15x² + 18x

Step-by-step explanation:

Given

3x(x² - 5x + 6) ← distribute the parenthesis by 3x

= 3x³ - 15x² + 18x ← in standard form

Answer:

58.5

Step-by-step explanation:

Distance = rate * time

so if it's 4.5 hours:

Distance = 13 mph* 4.5 hours

= 58.5 miles

Answer:

D. all of the above

Step-by-step explanation:

All the letters from the options have a line of symmetry.

Answer:

  1 : 2

Step-by-step explanation:

The ratio is ...

  small dia : large dia = 1 : 2 = small circumference : large circumference

__

Further explanation

The diameter of the small circle is the radius of the large circle. Since the large circle's diameter is twice the length of its radius, the ratio of circle diameters is ...

  small : large = 1 : 2

We multiply the diameter by π to get the circumference. Multiplying both these numbers by π will give the ratio of the circumferences. In order to reduce the ratio to lowest terms we must divide by π again:

  dia ratio = circumference ratio = lowest terms ratio

  1 : 2 = π : 2π = 1 : 2

Answer: 1:2

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

5x-9 = 2x+3

3x = 12

x = 4

Answer:

4

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

sqrt(x+5) = sqrt(x)+1

Square each side

(sqrt(x+5))^2 = (sqrt(x)+1)^2

x+5 = (sqrt(x)+1)^2

Foil

x+5 = (sqrt(x)) ^2 + sqrt(x) + sqrt(x) + 1

x+5 = x + 2 sqrt(x) + 1

Subtract x from each side

5 = 2 sqrt(x) + 1

Subtract 1 from each sdie

4 = 2 sqrt(x)

Square each side

4^2 = (2 sqrt(x))^2

16 = 4 x

Divide by 4

16/4 = 4x/4

4 =x

Check to see if it is extraneous

sqrt(4+5) = sqrt(4)+1

sqrt(9) = sqrt(4) +1

3 = 2+1

3=3

It is a valid solution

Answer:

[tex]\boxed{x=4}[/tex]

Step-by-step explanation:

[tex]\sqrt{x+5} = \sqrt{x}+1[/tex]

Take the square on both sides.

[tex]x+5=( \sqrt{x}+1)^2[/tex]

Expand brackets.

[tex]x+5=( \sqrt{x}+1) ( \sqrt{x}+1)[/tex]

[tex]x+5= \sqrt{x} ( \sqrt{x}+1) +1 ( \sqrt{x}+1)[/tex]

[tex]x+5= x+ \sqrt{x}+ \sqrt{x}+1[/tex]

[tex]x+5= x+ 2 \sqrt{x}+1[/tex]

Subtract 2√x, x, and 5 on both sides.

[tex]x- 2 \sqrt{x} -x= 1-5[/tex]

[tex]-2 \sqrt{x} = -4[/tex]

Cancel negative signs.

[tex]2\sqrt{x} = 4[/tex]

Divide both sides by 2.

[tex]\sqrt{x} =2[/tex]

Square both sides.

[tex]x=2^2[/tex]

[tex]x=4[/tex]

Check if the solution in the equation works.

[tex]\sqrt{x+5} = \sqrt{x}+1[/tex]

Let [tex]x=4[/tex]

[tex]\sqrt{4+5} = \sqrt{4}+1[/tex]

[tex]\sqrt{9} = 2+1[/tex]

[tex]3=3[/tex]

The value of x as 4 works in the equation.

Answer:

c

Step-by-step explanation:

Answer:

I think it's b.

Step-by-step explanation:

Let's just say that in the first square, all sides equal 4. In this square, if you cut out a piece the perimeter will stay the same. Let's check:

First square: 4+4+4+4=16

Second square: 3+4+4+2+1+2=16

So yes, it's b.

Answer: Find answer and explanation in the attached document.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Tables of value: The ratio of Y to X gives the unit rate slope.

Equation: Make a table of VALUES. The ratio of  Y to X gives the unit rate and slope.

Graph: The SLOPE of the graph is also the unit rate.