What is the slope of the line through (-5, 13) and (2,-1)

Answers

Answer 1

          [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]

       What is the slope of the line through (-5, 13) and (2, -1) ?

  [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]

We can use the slope formula :-

[tex]\Large\text{$\displaystyle\frac{y_2-y_1}{x_2-x_1}$}[/tex]

Now , We replace letters with numbers ,

[tex]\Large\text{$\displaystyle\frac{-1-13}{2-(-5)}$}[/tex]

On simplification,

[tex]\Large\text{$\displaystyle\frac{-14}{2+5}$}[/tex]

On further simplification ,

[tex]\Large\text{$\displaystyle\frac{-14}{7}$}[/tex]

[tex]\diamond[/tex] Finally, We get

[tex]\longmapsto\sf\underline{\boxed{\tt{slope=-2}}}[/tex]

Good luck with your studies.

#TogetherWeGoFar

[tex]\rule{300}{1}[/tex]

Answer 2

The slope of the line joining the points (a,b) and (c,d) is given by

[tex]{\boxed{\bf{Slope(m)=\dfrac{d-b}{c-a}}}}[/tex]

Putting the values, we have:

[tex]{:\implies \quad \sf m=\dfrac{-1-13}{2-(-5)}}[/tex]

[tex]{:\implies \quad \sf m=\dfrac{-14}{2+5}}[/tex]

[tex]{:\implies \quad \sf m=\dfrac{-14}{7}=\boxed{\bf{-2}}}[/tex]


Related Questions

7(7-2 × 3) = ?
What is the answer?
A. 24
B. 7
C. 14
D. 26

Answers

Answer:

b) 7 option B 7 is the answer

Step-by-step explanation:

bidmas rule:

7-2×3

2×3= 6

7-6=1

7×1= 7

therefore the answer is 7.

Answer: The answer is [tex]B. 7[/tex]

Step-by-step explanation:

[tex]7(7-2[/tex] × [tex]3)[/tex]

Simplify the expression.

[tex]7-2= 5[/tex]

[tex]7[/tex] × [tex]3[/tex] = [tex]21[/tex]

[tex]21[/tex] ÷ [tex]3=7[/tex]


A watch which looses a half a minute every hour was set to read the correct time at 0445hr on Monday. Determine in twelve hour system the time the watch will show on Friday at 1845hr the same week.

Answers

Answer:

see below

Step-by-step explanation:

Using a 24 HOUR SYSTEM

The total time from Monday to Friday times given

 =  24 x 4   + (18:45 - 4:45) = 96 + 14  = 110 hours

110 hours  *   30/3600  = .91667  hours lost = 55 minutes lost

 watch will show   18:45   - 55 minute = 17:50    ( 5:50 in 12-hour system)

Give the final answers in scientific notation

Answers

Answer:

I'm assuming you want me to do 18-23?  Okay:

Step-by-step explanation:

18) 8.6(10^−4)+6.7(10^−5)

=0.000927 --> 9.27 × 10^-4

19)  3.5(10^3)−9(10^1)

=3410 --> 3.41 × 10^3

20)  5.6(10^4)(4.5(10^6))

=252000000000 -->  2.52 × 10^11

21)  7.6(10^−7)(8.9(10^−2))

=0 --> 0

22)  3.9(10^−12)/4(10^4)

=0 --> 0

23)  1.75(10^5)/5(10^−3)

=35000000 -->  3.5 × 10^7

-

Please comment below if you would like me to solve #24 :)

The bolded numbers are the answer, the underlined numbers are to show the question number.  Hope this helped !!

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

Answers

Answer:

The length of the third side is [tex]≈15.7[/tex]

Step-by-step explanation:

Note:

Phitagors theorem:

[tex]c^{2}=a^{2}+b^{2}[/tex]

[tex]c: hypotenuse[/tex]

[tex]a: altitude[/tex]

[tex]b: base[/tex]

1) Using Phitagors theorem

[tex]c^{2}=a^{2}+b^{2}[/tex]

[tex]c^{2}=14^{2}+7^{2}[/tex]

2) Calculate

[tex]c^{2}=245[/tex]

3) Take the square root of both sides of the equation

[tex]\sqrt {c^{2}}=\sqrt{245}[/tex]

[tex]c=\sqrt{245}[/tex]

[tex]c≈15.7[/tex]

The product of two integers is -160 if one of them is 8 find the other​

Answers

Hey ! there

Answer:

Other number is -20

Step-by-step explanation:

In this question we are given that the product of two integers is -160 and one of them is 8 . And we are asked to find the other integer .

For finding the other integer we are assuming ,

Other integer as ' x '

And now we can find other Integer by making equation and solving it .

SOLUTION : -

Equation is :

[tex] \quad \dashrightarrow \qquad \: 8 \times x = - 160[/tex]

or ,

[tex] \quad \dashrightarrow \qquad \: 8x = - 160[/tex]

To isolate the variable x , We are dividing both sides by 8 :

[tex] \quad \dashrightarrow \qquad \: \dfrac{ \cancel{8}x}{ \cancel{8}} = \cancel{ \dfrac{ - 160}{8} }[/tex]

On simplifying it , We get :

[tex] \quad \dashrightarrow \qquad \: \red{\underline{\boxed{\frak{x = - 20}}}} \quad \bigstar[/tex]

Henceforth , the other integer is -20 .

Verifying : -

Now we are verifying whether our answer is wrong or right by substituting value of x in the equation . So ,

[tex]8 \times x = - 160[/tex]

Substituting value of x :

[tex]8 \times - 20 = - 160[/tex]

Multiplying 8 with - 20 :

[tex] - 160 = - 160[/tex]

[tex] \rm{L.H.S = R.H.S}[/tex]

[tex] \rm{Hence , Verified .}[/tex]

Therefore , of answer is correct .

#Keep Learning

Answer:

The other integer is -20

[tex] \: [/tex]

Step-by-step explanation:

[tex] \: [/tex]

Given,

The product of two integers is -160.

One of the integers is 8

[tex] \: [/tex]

To Find,

The other integer.

[tex] \: [/tex]

Solution,

Let us assume the other integer as x

[tex] \: [/tex]

So, The equation will be :

[tex] \\ \longrightarrow \qquad{ \ {{ { \sf{x \times 8= - 160}}}}} \\ \: \: [/tex]

[tex] \longrightarrow \qquad{ \ {{ { \sf{8x= - 160}}}}} \\ \: \: [/tex]

Now, Let us divide both sides by 8 :

[tex] \\ \longrightarrow \qquad{ \ {{ { \sf{ \frac{8x}{8} = \frac{ - 160}{8} }}}}} \\ \: \: [/tex]

[tex] \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{x= - 20}}}}} \: \: \bigstar \: \\ [/tex]

Therefore,

The other integer is -20

plis help me!!!!!!!!!!!!!! it is very difficult for me

Answers

Answer:

See below ~

Step-by-step explanation:

Kindly note the 2nd equation in the above question formed will be :

2x + 4y = 20

The plotted graph is correct and it shows that the intersection of the lines (the solution) is at (2, 6), which means :

x (number of chickens) = 6y (number of sheep) = 2

explain why the sum of two angles of any triangle always equals the exterior angle of the third.

Answers

Answer:

they are congruent

Step-by-step explanation:

b because a same size

PICKING BRANILIEST HELP WITH 1

Answers

Answer:

1. x=37

2. x= 50

Step-by-step explanation:

Add up the two angles you already have, 43+100 and then subtract from 180.

180-143= 37

Do the same thing for number 2.

Add up 99+31, which is 130

The subtract from 180

180-130=50

The equation for triangles is x + (the angle measures) = 180

Hope this helps <3

solve the system using substitution. show all work. {4x + 5y = 7 {y = 3x - 10

Answers

Answer:

x = 3, y = -1.

Step-by-step explanation:

4x + 5y = 7

y = 3x - 10

Substitute for  y = 3x - 10 in the first equation:

4x + 5(3x - 10) = 7

4x + 15x - 50 = 7

19x = 7 + 50 = 57

x = 57/19 = 3.

Now plug x = 3 in the second equation

y = 3(3) - 10

y = 9 -10

y = -1.

Mrs. gellar works at a diner. at the end of

her shift, she was putting away pies in the

display case. there were 5 pies, and of 3/8

each pie left. what fraction of the pies did

mrs. gellar put away?

Answers

She put away 15/8 or 1 7/8 pies away

Travis is cutting strips of paper for a project. He needs strips that are 114 inches wide. He cut his first strip too wide. His percent error was 10%. How wide did Travis cut the strip of paper? Enter your answer as a mixed number in simplest form in the box.

Answers

Travis cuts 125 whole 2/5 inches wide strip if the percent of error was 10% the actual length of the strips he needs to cut was 114 inches

What is the percentage?

It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.

We have:

The length Travis needs to cut = 114 inches

Percent of error = 10%

Let's assume he cuts x inches wide strip

So from the percent of error formula:

[tex]\rm \dfrac{x-114}{114} = \dfrac{10}{100}[/tex]

[tex]\rm x = \dfrac{114}{10}+114[/tex]

[tex]\rm x = \dfrac{1254}{10}\Rightarrow \dfrac {627}{5}[/tex]  or

[tex]\rm x = 125\dfrac{2}{5} \ inches[/tex]  

Thus, Travis cuts 125 whole 2/5 inches wide strip if the percent of error was 10% the actual length of the strips he needs to cut was 114 inches

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Answer:

it’s 1 3/8 I don’t know what dude it’s talking about

Step-by-step explanation:

please answer 60 points

Answers

Answer:

c. 90 cm³

Step-by-step explanation:

Formula applied :

Volume (triangular prism) = Base × Height

Solving :

⇒ Volume = 9 cm² x 10 cm

⇒ Volume = 90 cm³

The answer option is c

Answer:

c.  90 cm³

Step-by-step explanation:

Formula

Volume of a right prism = area of base × height

Given:

area of base = 9 cm²height = 10 cm

Substitute the given values into the formula:

⇒ Volume = 9 cm² × 10 cm

                  = 90 cm³

PARALLEL LINES
Find x and y.

Answers

4x = (130 - 2x) so x = 65/3

(3y + 40) + (130 -2x) = 180 because the angles are supplementary

plug in x

3y + 40 + 130 - 2(65/3) = 180

so 3y = 95/3

therefore y = 95/6
Answer:

x = -25
y = -13.33


Step-by-step explanation

To find x
(130 - 2x)° + 4x° = 180°
130 - 2x + 4x = 180
130 - 2x = 180
130 - 180 = 2x
x = -50 ÷ 2
x = -25 answer

To find y
(130 - 2x)° + (3y + 40)° = 180°
130 - 2x + 3y + 40 = 180
170 - 2x + 3y = 180
By putting the vaue of x in the equation
170 - 2(-25) + 3y = 180
170 + 50 + 3y = 180
3y = 180 - 170 - 50
y = -40 ÷ 3
y = -13.33 answer

Hope that helps...

NEED THE ANSWER NOW 50 POINTS PLEASE HELP!

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{3 {x}^{2} y {}^{ - 1}}{27x {}^{ - 3} {y}^{8} } [/tex]

Now, let's get the common terms out :

[tex]\qquad \sf  \dashrightarrow \: \dfrac{3 {x}^{2} y {}^{ - 1}}{3 {x}^{2} {y}^{ - 1}(9 {x}^{ - 5} {y}^{9} )} [/tex]

cancel out the common terms in numerator and denominator

[tex]\qquad \sf  \dashrightarrow \: \dfrac{1}{9 x {}^{ - 5} {y}^{9} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{ {x}^{5} }{9 {}^{ } {y}^{9} } [/tex]

So, the correct choice is C

please answer lol i need some help

Answers

I dont know the answer lol

Simplify the expression. Write your answer as a power.
4²*4³
The simplified expression is

Answers

Answer:

4^5

Step-by-step explanation:

When we are multiplying expressions with the same base, we add the exponents

a^b * a^c = a^(b+c)

4^2 * 4^3 = 4^(2+3) = 4^5

Find the height of a cylinder with a volumeof 475pie cubic meteresand radius 5 meters

Answers

The height of the cylinder is 19 meters if the volume of 475pie cubic meters and the radius is 5 meters.

What is a cylinder?

In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.

We know the volume of the cylinder is given by:

[tex]\rm V = \pi r^2 h[/tex]

We have a volume of the cylinder:

V = 475π cubic meter

The radius r = 5 meters

475π = π(5)²h

h = 19 meters

Thus, the height of the cylinder is 19 meters if the volume of 475pie cubic meters and the radius is 5 meters.

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1.5. a + b + c + d + e is this expression a monomial/ binomial/ trinomial/ polynomial ​

Answers

Answer:

polynomial

Step-by-step explanation:

because poly=more than 1

mono=1

bi= 2

tri=3

1. Emilio earns $150 per week plus 38% commission. He sells $2 000.00 in one week. What are his gross weekly earnings?

Answers

Answer:

more than what i have

Step-by-step explanation:

A quantity h varies directly with w and inversely with p. when w = 4 and p = 6, h = 2. what is the constant of variation? one-twelfth four-thirds 3 12

Answers

The value of the constant of variation is 3. The correct option is the third option- 3

Variation

From the question, we are to determine the constant of variation.

Let the constant of variation be k

From the give information,

A quantity h varies directly with w and inversely with p

That is,

[tex]h \propto \frac{w}{p}[/tex]

Introducing the constant of variation, k, we get

[tex]h = k\frac{w}{p}[/tex]

Also, from the give information,

w = 4

p = 6

h = 2

Putting the parameters into the relation, we get

[tex]2 = k \times \frac{4}{6}[/tex]

[tex]6\times 2 = 4k[/tex]

[tex]k = \frac{6\times 2}{4}[/tex]

k = 3

Hence, the value of the constant of variation is 3. The correct option is the third option- 3

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Answer:

Answer is 3

Step-by-step explanation:

~Hope this helps!

Yea solve equation by factoring
7x² - 39x + 17 = -3

Answers

Answer:

x = 4/7, 5

Please mark Brainliest :)

Answer:

x = 4/7 or x = 5

Step-by-step explanation:

Step 1: Add to 3 to both sides

[tex]7x^2-39x+17+3=-3+3[/tex] [tex]7x^2-39x+20=0[/tex]

Step 2: Factor by grouping

This equation is in the form ax² + bx + c = 0. Since there are no terms that multiply to 20 and add to -39, we have to find terms that multiply to a (7) * (20) and add to -39.

Factors of 140: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, and 140-35 x -4 = 120, and -35 - 4 = -39. Thus, the two terms are -35 and -4.

Now, we split -39x into -35x and -4.

7x^2 - 35x - 4x + 20.(7x² - 35x) + (-4x + 20)

Next, we factor each expression in the parentheses. After that, we put the terms outside the parentheses together. Reminder, the terms inside the parentheses should be the same.

[tex]7x(x-5)-4(x-5)[/tex] [tex](7x-4)(x-5) = 0[/tex]

Step 3: Solve for x using 7x - 4 = 0 and x - 5 = 0.

[tex]7x-4=0[/tex] [tex]7x-4+4=0+4[/tex] [tex]7x=4[/tex] [tex]7x/7 = 4/7[/tex] [tex]x= 4/7[/tex]

or

[tex]x-5=0[/tex] [tex]x-5+5=0+5[/tex] [tex]x=5[/tex]

100 PTS AND WILL GIVE BRAINLY!!!

THE SCENARIO
The Tortoise and the Hare finally have their long awaited rematch. The Tortoise gets a
300 m lead and runs at 0.2 m/s. The Hare begins at the starting line and runs at a rate of 2 m/s. There is also a rat in this race. The Rat starts 350 m ahead of the Hare and runs back towards the starting line at a rate of 0.6 m/s.

THE CALCULATIONS
Create a table of values for each runner in the race. The domain for the race will be 0 ≤ t ≤ 200 seconds. You can decide on 5 time intervals for your table.

Answers

Answer:
Tortoise:

Hare:
Rat:

All will be shown later

Step-by-step explanation:

Equation for Torotise: f(x)=0.2(x)+300

Equation for the Hare: f(x)=2(x)

I hope it helps! I will show you screenshots in the comments

could someone PLEASE help me with this slope activity? any help would be appreciated, ive been stuck on it for days. this is 10th grade geometry, whoever helps i will gladly give you 5 stars, im just rlly stuck on this

Answers

Answer:

Slope = (y₁-y₂) / (x₁- x₂)JM
y₁ = 1

y₂ = -3

x₁ = 2

x₂ = 2

Slope = ( 1 + 3) / 0 = undefined

JK

y₁ = 1

y₂ = 4

x₁ = 2

x₂ = 5

Slope = ( 1-4) / (2-5) = 1

KL

y₁ = 4

y₂ = 1

x₁ = 5

x₂ = 7

Slope = (4-1) / ( 5-7 ) = -1.5

ML

y₁ = -3

y₂ = 1

x₁ = 2

x₂ = 7

slope = (-3-1) / ( 2-7) = 4/5

Which two expressions are equivalent?
O z
7 (6+z)
7.6+7.2
O
3 (9+y)
3.9+ y
O
t +(4.5)
(t + 4).5
X + 12 : 4
(4+12) = x

Answers

Answer:

First option

Step-by-step explanation:

The result of first expression:

7(6+z) multiply 7 with inside the parenthesis

7(6+z) = 42 + 7z

the result of second expression:

since we need to do multiplying first,

7*6 = 42 and 7*z = 7z

then we add them

42 + 7z this is the same result we found for the first equation

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

0.09

.............................

A merchant bought 1000 electric bulbs at the rate of Rs.150 each. 50 of them were broken on the way and the remaining he sold at the profit of 5%.What was the selling price of each bulb?​

Answers

Answer:

₹165.79

Step-by-step explanation:

Given:-

No. of electric bulbs = 1000

cost of each electric bulb = ₹ 150

No. of bulbs broken = 50

Selling price of each bulb = x

Profit percentage = 5%

To Find:-

The selling price of each bulb.

Solution:-

Cost price of 1000 electric bulbs,

= 1000 × ₹150

= ₹1,50,000

5% profit on the total cost price,

= {5}/{100}× ₹150000

= ₹7500

Total selling price = ₹157500

No. of bulbs remaining = 950

Therefore, selling price of each bulb,

= {₹157500}/{950}

= ₹165.79

Therefore,

Selling price of each bulb = ₹165.79

A class has seven students. what is the probability that exactly four of the students were born on a weekday (monday through friday)?

Answers

The probability that exactly four of the students were been born on a weekday (i.e. Monday through Friday) is 0.2125.

What is the probability of determining that exactly four students were born on a weekday?

To determine the probability, we need to first find the probability of having a student being born on a weekday.

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

The probability of having 4 students born on a weekday is:

[tex]=\mathbf{(\dfrac{5}{7})^4}[/tex]

Since we have 4 students, we also need to find the probability of the students that are not being born, which is:

[tex]=\mathbf{(\dfrac{2}{7})^3}[/tex]

Also, there are [tex](^7_4)[/tex] = 35 ways to get four students out of seven students.

Therefore, we have the probability as:

[tex]\mathbf{P = 35 \times (\dfrac{5}{7})^4 \times (\dfrac{2}{7})^3}[/tex]

P = 0.2125  

Therefore, we can conclude that the probability that exactly four of the students were born on a weekday is 0.2125.

Learn more about probability here:

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Hey! So I need to study for my Algebra 1 finals can someone link me a video or give me a way to study for algebra 1. I have a week or so

Answers

Answer:

Review your state Standards.

Notes

Khan on your topic or grade level

Dealta Math

Math Nation

Please help me solve for X

Answers

Answer:

[tex]\boxed{\sf x = 11.57}[/tex]

Step-by-step explanation:

[tex] \sf {x}^{2} = {3.6}^{2} + {11}^{2} [/tex]

Calculate 3.6 to the power of 2 to get 12.96, and 11 to the power of 2 which will give you 121.

[tex] \sf {x}^{2} = 12.96 + 121[/tex]

Add 12.96 and 121.

[tex]\sf {x}^{2} = 133.96[/tex]

Now, we'll take the square root of both sides of the equation.

[tex] \sf \sqrt{ {x}^{2} } = \sqrt{133.96} [/tex]

[tex]\sf x = 11.57[/tex]

What is the area of the circle?
(3.14 for pi)

Answers

Answer:  3215.36 square yards

Explanation:

The diameter is 64 yards

Divide it in half to get 64/2 = 32 yards as the radius.

Plug it into the formula below to get the area of the circle.

A = pi*r^2

A = 3.14*32^2

A = 3215.36

The area of the circle is approximately 3215.36 square yards.

The area is approximate since pi = 3.14 is approximate.

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