The slope of the line through points (4, -2) and (-1, 5) is

Answers

Answer 1

Answer: The slope is -1.4

Step-by-step explanation:

m = y2 - y1 / x2 - x1

5 - (-2) / -1 - 4

5 + 2 / -1 - 4

7/-5 (Rise over run)

-1.4 (Slope)


Related Questions

jenny has 68 1/2 pages of her left to read. How many pages will she have left after she reads 26 1/6 pages?

Answers

Answer:

42 1/3

Step-by-step explanation:

We subtract 26 1/6 from 68 1/2. We do this by finding the LCM of 6 and 2. That is 6. We multiply 1/2 by 3/3 to get 3/6. Now, we subtract. 68 - 26 is 42, and 3/6 - 1/6 is 2/6. Our answer is 42 2/6. That can be simplified to 42 1/3.

Jenny will have 42 whole 1/2 pages left after she reads 26 whole 1/6 pages if Jenny has a total of 68 whole 1/2 pages.

What is a fraction?

Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

Jenny has  [tex]68\frac{1}{2}[/tex]  pages.

She reads [tex]26\frac{1}{6}[/tex]

Let's suppose the remaining pages is x, then the value of x:

[tex]\rm x = 68\frac{1}{2}-26\frac{1}{6}\\\\\rm x = \frac{137}{2}-\frac{157}{6} \\\\\rm x = \frac{411-157}{6} \\\\\rm x = \frac{254}{6}[/tex]

[tex]\rm x = \frac{127}{3}[/tex]  or

[tex]\rm x = 42\frac{1}{3}[/tex]

Thus, Jenny will have 42 whole 1/2 pages left after she reads 26 whole 1/6 pages if Jenny has a total of 68 whole 1/2 pages.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

PLS HELP MY HWS DUE IN 30 MINS AND PLS SHOW WORK TY
find each missing measure
m m

Answers

Answer:

measure is the angle right- if so it's 76 each

180-28=152

152÷2=76

what is an equation of the line that passes through the point (-6,-1) and is perpendicular to the line 6x-y=7? (has to be in y=mx+b form)

Answers

Answer:

y = [tex]-\frac{1}{6}[/tex] x - 2

Step-by-step explanation:

Slopes of perpendicular lines are opposite reciprocals.

If AB ⊥ CD , then [tex]m_{AB}[/tex] [tex]m_{CD}[/tex] = - 1

y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex])

~~~~~~~~~~~

6x - y = 7 ⇔ y = 6x - 7

Slope of given line is 6

Slope of a perpendicular line is [tex]-\frac{1}{6}[/tex]

( - 6, - 1 )

y + 1 = [tex]-\frac{1}{6}[/tex] (x + 6)

y = [tex]-\frac{1}{6}[/tex] x - 2

To rent a certain meeting room, a college charges a reservation fee of $34 and an additional fee of $9.30 per hour. The math club wants to spend less than $99.10 on renting the meeting room.
What are the possible amounts of time for which they could rent the meeting room?
Use t for the number of hours the meeting room is rented, and solve your inequality for t.

Answers

Answer:

9 hours.

Step-by-step explanation:

31 + 5.9*t < 84.10.

To solve it, collect the constant terms on the right side:

5.9*t < 84.10 - 31 = 53.10,

Hence, t < 53.10%2F5.9 = 9 hours.

Answer:

7 hours

Step-by-step explanation:

99.10-34=65.1

65.1 divide by 9.30=7

Hope this helps!!

Raphael purchases a new DVD at M-Mart. He
pays 8% in tax on the cost of the DVD. If the tax
amount is $1.20, how much does Raphael
spend on the DVD, including tax?

Answers

Answer:

The amount Raphael spend on DVD including tax is $16.2

Step-by-step explanation:

Tax on DVD = 8%

Amount of tax = $1.20

We need to find the amount Raphael spend on DVD including tax.

Let the cost of DVD = x

We can write the equation: [tex]8\%\:of\:x=1.20[/tex]

Because the tax amount is 8% of actual cost and is equal to 1.20

Now solving to find x:

[tex]8\%\:of\:x=1.20\\8\%\times\:x=1.20\\\frac{8}{100}\times x=1.20 \\x=1.20 \times \frac{100}{8}\\x= 15[/tex]

So, the cost of DVD = $15

Now, The amount Raphael spend on DVD including tax = Cost of DVD + Tax

The amount Raphael spend on DVD including tax = 15 + 1.2

                                                                                    = 16.2

So, The amount Raphael spend on DVD including tax is $16.2

Suppose there is a game of chance that you would like to play. It costs $3 to play one time. There are 100 $1 bills, 20 $5 bills, 3 $20 bills, and 1 $100 bill in a box. You may reach into a box without looking and select one bill. Is this a fair game? Why or why not?

Answers

Answer:

1. It is not a fair game.

2. The game is not fair because the probability of winning and the probability of losing are not equal.  In a fair game, the probability of winning is equal to the probability of losing.  In this game, the probability of losing is 0.81 or 81%, while the probability of winning is 19% (100 - 81).

Step-by-step explanation:

Cost of playing the game one time = $3

Total number of bills in the box = 124 (100+20+3+1)

Chance of losing is represented by 100 of $1 bills = 100/124 = 0.81 or 81%

Chances of losing are represented by 20 of $5 bills, 3 of $20 bills, and 1 $100 bill = 0.19 or 19% (20/124 + 3/124 + 1/124).

If f(n)= n2. n, then f(-4) is?

Answers

Answer:

f(-4) = 16

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(n) = n²

f(-4) is n = -4

Step 2: Evaluate

Substitute:                    f(-4) = (-4)²Exponents:                   f(-4) = 16

PLEASE HELP, THIS IS A BENCHMARK. WILL GIVE BRAINLIEST!

Use the description of AABC below to solve Parts A and B.

m
Part A: Which of the following is the value of x?

A. x = 10
B. x= 5
B. x = 4
D. x = 2

Part B: Order the sides of ABC from shortest to longest. Drag and drop the displayed choices to order.

Answers

you need a picture of the shape.
Bsmegemeisneurmeuebeuee. E 23638 6738?g-/3

#9 Can anyone please help me, this is Pythagoras Theorem Converse.

Answers

Answer:

(D).

Step-by-step explanation:

[tex]A_{b}[/tex] = A + [tex]A_{s}[/tex]

(A). 12 + 16 > 20

(B). 10 + 18 < 30

(C). 4 + 5 < 12

(D). 8 + 16 = 24

Plzzz someone help meeee!!!! :(

Answers

Answer:

5 feet

Step-by-step explanation:

The rose garden is trianglar and so the total of the two shorter sides need to equal more than the longest side. In this case 4+x=9. 6,7, and 8 all meet these requirments but 4+5 is 9, 9=9 which means 5 feet cannot be used

___________: next to or adjoining to something else.​

Answers

Hey there!

The correct answer is adjacent.

The exact definition in the Oxford dictionary is "next to or adjoining something else."

Hope it helps and have a great day!

P.S. A picture of adjacent angles is below, you can see they are adjacent because they are connected.

6. A bicycle store costs $2200 per month to operate. The store pays an average of $60
per bike. The average selling price of each bicycle is $80. How many bicycles must the
store sell each month to break even?

Answers

they would need to sell at least 27 bikes

please someone help me

Answers

Answer:

-16

Step-by-step explanation:

-8(x+2)=24   x= -5

-8x + (-16) = 24   x= -5

-8*x = -8x

-8*2= -16

What are the answers to the last two questions?

Answers

Answer:

1. (-1)(x^2+x-6)

2. (-1)(x+3)(x-2)

Step-by-step explanation:

Factoring

It's given the trinomial

[tex]-x^2-x+6[/tex]

1. There is no common factor (given).

2. Factor out -1:

Each term is divided by -1:

[tex]\mathbf{(-1)(x^2+x-6)}[/tex]

3. Now we factor the remaining trinomial. We find two numbers whose sum is 1 and the product is -6. These are 3 and -2, thus the trinomial is:

(-1)(x+3)(x-2)

1) 6.61; tenths
You have to round it to the 10ths place

Answers

Answer:

6.6

Step-by-step explanation:

under 5 round down, 5 and up round up

please help. i will mark brainliest for whoever is correct.

Answers

Answer:d) g(x)=x^1/3-1.5

Step-by-step explanation:

Cathy has n CDs Gerry has 3 more than twice the number of CDs that cathy has. in terms of n, how many CD does Gerry have?​

Answers

Answer:

I think this would be 2n+3

Step-by-step explanation:

I learned this in class and I think that since you Gerry has twice the number of CDs (n) + 3, it would be 2n+3. I'm in middle school though, so I don't know if in highschool there's another step, but I hope this helps! :)

Number 2 please , and if you can explain it too that would be helpful but if not it’s okay:)

Answers

Answer:

CI = 6,IA = 8

Step-by-step explanation:

I cant explain it no further

I believe both sides would be 10, and here is why:

I’m not sure if you’re learning this, but there is this thing called SOHCAHTOA. The SOH stands for Sine = Opposite/Hypotenuse, CAH stands for Cosine = Adjacent/Hypotenuse, and TOA stands for Tangent = Opposite/Adjacent. Now you figure out which one of these three to use based on the values you’re given and where they are on the triangle. So we’ve been given 45 degrees for one of the angles and we want to find the lenght that is Opposite of that angle, and we’re given the side length of the hypotenuse, so you would use Sine = Opposite/Hypotenuse. How you would set that up is sin 45° = x/10rad2. You first find the value of sin 45°, which would give you about .71, so you’re equation would now be .71 = x/10rad2. You then cross multiply to find the value of X, which would give you about 10. And since this is a 45 45 90 triangle, both the legs are the same length. Hope that helps and please give brainliest if it did! :)

Standard Form: 3x+4y=−16

Answers

Answer:

i know the answer

Step-by-step explanation:

my classmate is unsure about how to use side lengths to determine the type of triangle. How would i explain this to my classmate

Answers

equilateral triangles are made of all even sides with a angle of 60 degrees

isosceles triangle has two of the same sides and ond different side

scalene triangles have all different sides

brainiest please

2(3x-2)=14 pls help

Answers

2(3x-2)=14

1) Distribute 2
(6x-4)=14
2) Add (4) one both sides
6x-4=14
6x+4=14+4
6x=18
3) Divide 6 one both sides
6x / 6 = 18 / 6
4) Solve
X=3

Hope it helps

Gwen borrows $300 from her parents to buy a bike. She agrees to pay them back with 3% simple interest every month for one year. What is the total amount of money Gwen will owe her parents? *
Just enter the numerical portion of your answer - no dollar signs or change needed!

Answers

Answer:

309.12

Step-by-step explanation:

A = total amount

P = principal

r = interest rate

n = number of times interest is compounded

t = time (in years

A = P(1 + [tex]\frac{r}{n}[/tex])^nt

A = 300(1 + [tex]\frac{.03}{12}[/tex])^12 · 1

A = 300(1.0304)

A = 309.12

Answer:

408

Step-by-step explanation:

Half the area of the rectangle shown is 24 inches. Write and solve an equation to find the value of 'x'

Answers

Answer:

The answer will b 4

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

I don’t understand someone please help ! In the bottom it says follow the steps above to find the equation of these two trend line
1.(x2 , y2) =(3,12 ) ( x1 , y1) =(-6,-6)
2.(x 2 , y2 ) =(2,7 ) ( x1 ,y1) =(-2,-5)

Answers

Answer:

I really dont know

Step-by-step explanation:

Answer:

step below

Step-by-step explanation:

1. (0,9) (9,0) or (7,2) or (1,8)

2. m = rise/run = (0-9) / (9-0) = -1

3. y = mx + b   for point (9,0)

y intercept ( b) = y - mx = 0 - (-1)*9 = 9

4. equation for trend line: y = -x + 9

check use (7,2): 2 = -7 + 9

Jasmine sold half of her Barbie doll Collection
and then bought 9 dolls. She now has 13 dolls.
Barbie dolls did she begin with?
How many

Answers

Answer: 8 dolls.

Explanation: 13 - 9 = 4, 4 x 2 = 8.

Work the equation backwards... she has bought 9 extra dolls to add on the the half of her original amount. Without the extra 9 dolls (13 - 9), Jasmine has half of her original amount left (4) and so to find the original amount of dolls, think that if 4 is half the amount, what is 4 half of? 4 is half of 8 and so 8 is the original amounting dolls she had.

What is the solution to this function ?

Answers

Answer:

I think this is the answer

Solve the inequality and enter your solution as an inequality comparing a variable to a number x+9>13

Answers

Answer:

x>4

Step-by-step explanation:

Step 1: Subtract 9 from both sides.

x+9−9>13−9

x>4

hey guys I need this. it's due tomorrow. and please show step by step because I am willing to give brainly

Answers

C is 44, D is 114 B is also 114, A is 25, E is also 25

Does (3,4) satisfy the equation-5x + 2y = 23?

Answers

Answer:

[tex] - 5x + 2y = 23 \\ when \: \: x = 3 \: and \: y = 4 \\ = - 5(3) + 2(4) \\ = - 15 + 8 \\ = 7 \\ no \: it \: doesnot \\ \\ \\ if \: equation \: is \: 5x + 2y = 23 \\ = 15 + 8 \\ = 23 \\ hence \: it \: satisfies[/tex]

WRITE AN EQUATION THAT MODELS EACH STATEMENT :
John is five years more than twice as old as his sister :

Answers

Step-by-step explanation:

Take John's sister's age as "x"

So, so twice his sister's age means = 2x

And 5 years more, means = 2x + 5

So finally John's age = 2x + 5

Answer:

y=2x+5

Step-by-step explanation:

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