slope of the line that contains (-8,2) , (7,-4)

Answers

Answer 1

Answer:

[tex]\mathsf{slope=-\dfrac25}[/tex]

Step-by-step explanation:

[tex]\mathsf{let \ (x_1,y_1)=(-8,2)}[/tex]

[tex]\mathsf{let \ (x_2,y_2)=(7,-4)}[/tex]

[tex]\mathsf{slope=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\implies \mathsf{slope=\dfrac{-4-2}{7--8}=-\dfrac25}[/tex]

Answer 2

Answer:

-2/5

Step-by-step explanation:

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

m=(-4-2)/(7-(-8))

m=-6/(7+8)

m=-6/15

simplify

m=-2/5


Related Questions

Please answer right ....

Answers

Answer:

[tex]2\frac{13}{120}[/tex]

Step-by-step explanation:

**Fractions for addition and/or subtraction need equal denominators

Alike denominators in parentheses

[tex]4\frac{2}{5} -(1\frac{2}{3}+\frac{5}{8})\\4\frac{2}{5} -(1\frac{2}{3}(\frac{8}{8}) +\frac{5}{8}(\frac{3}{3} ))\\4\frac{2}{5}-(1\frac{16}{24}+\frac{15}{24})\\4\frac{3}{5} -(1\frac{31}{24} )\\4\frac{3}{5} -(2\frac{7}{24} )[/tex]

[tex]4\frac{2}{5}-2\frac{7}{24}[/tex]

Solve

[tex]4\frac{2}{5}-2\frac{7}{24} \\4\frac{2}{5}(\frac{24}{24}) -2\frac{7}{24}(\frac{5}{5})\\4\frac{48}{120}-2\frac{35}{120}\\2\frac{13}{120}[/tex]

Which graph represents the function?

f(x)={3 if x<1x if x≥1

Answers

Answer:

Top Right

Step-by-step explanation:

If it's x≥1, you would plot a closed (or filled) circle at 1, and it would continue going right. If it's x<1, you would plot an open (or an o) circle with a line continuing left.

The function represents f(x)={3 if x<1x if x≥1 in Figure 4 is correct.

What is slope?

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. There is no clear reason why the letter m is employed for slope, however its earliest use in English can be found in O'Brien (1844), who wrote the equation of the a straight line as "y = mx + b," and it can also found in Todhunter (1888), who wrote it as "y = mx + c." Slope is frequently denoted by the letter x. The ratio of the "vertical change" to the "horizontal change" between (any) two distinct points along a line is used to calculate slope. The ratio can also be written as a quotient ("rise over run"), which produces the same number for each and every two distinct points on a single line.

Here,

For x≥1 ⇒ f(x)=x

For x<1 ⇒ f(x)=3

Both these statements are followed together only in figure 4.

Hence, figure 4 is correct.

Learn more about slope from the link.

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Dudley Durite deposited $350 into a savings account that earns 6.5% interest compounded semi annually. What amount was in his account at the end of 1 year?

Answers

Answer:

$373.12

Step-by-step explanation:

You want to set this up with the equation for compound interest which is [tex]A=P(1+\frac{r}{n})}^{nt}[/tex]. A stands for amount, P stands for principle which in this case is 350, r is rate which for this one is .065, ad n is the amount of times compounded per year, and since it is compounded semi annually you do 2 for 2 times a year. Your equation based on this information should look like this:

[tex]A=350(1+\frac{.065}{2})}^{(2)(1)}[/tex]

After working this out you get A = 373.12

$373.12

a train moves at a speed of 60 km per hour.how far will it travel in 30 minutes​

Answers

Answer:

The train would travel 30km in 30 minutes.

Step-by-step explanation:

Speed of train = 60km/hr

30 minutes = I hour ÷ 2


If 30 minutes is equal to half an hour, and it takes an hour for the train to travel 60 km, then you would have to half 60 km to find the length travelled in 30 minutes.

Equation: 60km ÷ 2 = 30km

look at this equation and the steps used to solve it. Which answer is the best justification for step 1 of this solution

Answers

Answer:

equal quantities something...

Step-by-step explanation:


Label each triangle

Answers

Answer: Top right and left are ACUTE, Bottom right is RIGHT, and bottom left is OBTUSE.

Answer:

the top two are acute triangles

the third(bottom left is an obtuse angle

and the last one(bottom right) is a right triangle

Step-by-step explanation:

the top angles are all under 90 degrees which is what makes them acute

the bottom left triangle has an angle greater than 90 which makes it obtuse

and the bottom right has a right angle, which makes it a right triangle

Is 2.04 is greater or less than 2.040?

Answers

Answer:

See below

Step-by-step explanation:

2.04 is neither greater nor less than 2.040

but 2.04 is equal to 2.040.

[tex]2.04=2.040[/tex]

It’s the same, the same amount

What is the Square root of 3664?

Answers

Answer:

60.5

Thanks!

Mark me brainliest!

~[tex]FieryAnswererGT[/tex]~

10 yd
10 yd

Find the area of each?

Answers

Answer:

20 yards

Step-by-step explanation:

i got 100 0n the quiz

Which of the following r-values represents the strongest correlation?

Which of the following r-values represents the strongest correlation?
A. -0.51 B.-0.71 C. -0.41 D. -0.61

Answers

Answer:

-0.71

Step-by-step explanation:

Generally, a value of r greater than 0.7 is considered a strong correlation. Anything between 0.5 and 0.7 is a moderate correlation, and anything less than 0.4 is considered a weak or no correlation.

The r-value that represents the strongest correlation is -0.71.

What is correlation?

Any of the many metrics used to describe the strength and direction of a linear relationship between two random variables is called a correlation coefficient.

So, r stands for the correlation coefficient.

Depending on the direction of the association, an r-value may be either negative or positive.

Yet, the link is greater the closer an r-value is to 1.

Here - 0.71 is closer to -1 then it is having a strongest correlation.

Learn more about correlation coefficient here:

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Carmen bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $200 less than the desktop. She pald for the computers
using two different financing plans. For the desktop the interest rate was 9% per year, and for the laptop it was 7% per year. The total finance charges for one
year were $306. How much did each computer cost before finance charges?

Answers

Let x = cost of desktop computer; then x - 250 = cost of laptop computer

converting % to decimals, 9% = 0.09 and 6% = 0.06

Then, 0.09x + (x - 250)0.06 = $300
0.09x + 0.06x - 15 = $300
0.15x = $315
x = $2100
then x - 250 = $1850

Proof: $2100•0.09 + 1850•0.06 = $189 + $111 = $300


At Skyrocket Amusement Park, 30% of the rides are roller coasters. There are a total of
18 roller coasters. How many rides are there at Skyrocket Amusement Park in all

Answers

Total rides = 100 %
Considering the value of the 100%

If 30% = 18 roller coasters
then 100% = 100 x 18/30
= 60 rides
Hence there are 60 rides in all

Where do humans and other animals get their food?

Answers

Answer:

Humans and other animals get their food from plants directly or indirectly. Humans and animals are heterotrophic organisms, so they obtain their food from other organisms.

Step-by-step explanation:

Answer:

From plants and other animals

Step-by-step explanation:

Got it right on my quiz haha..

1 Josiah is making a candle by pouring melted wax into a mold in the shape of a square pyramid. Each side of the base of the pyramid is 12 in and the height of the pyramid is 14in. To get the wax for the candle, Josiah melts cubes of wax that are each 6 in by 6 in by 6 in. How many of the wax cubes will Josiah need in order to make the candle? Show your work.

Answers

Answer:

3.11 wax cubes

Step-by-step explanation:

D=1/3fk, solve for f

Answers

Answer:

f=3d/k

Step-by-step explanation:

Points A, B, and C are on line AC.

A horizontal line has points A, B, C. A line extends from point B up and to the left to point D. Angle D B C is 140 degrees.
Angle CBD has a measure of 140°. What is the measure of angle ABD?

40°
50°
60°
70°

Answers

Answer:

50° Because considering the total angles is still half a line segment 50° is

Answer:

40 degrees  A for me on EDG 2022

Step-by-step explanation:

June 21st

Use the square root property to solve the equation.
x^2=153

Answers

Answer:

3√(17) or 12.3693

Step-by-step explanation:

x^2 = 153

take square root from both side...

√(x^2) = √(153)

then...

x=√(153)

reduce to get...

x=3√(17)

the approximation is...

12.3693

Please rate!!

Answer:

x = 3sqroot17

x ~= 12.37

Step-by-step explanation:

To use the square root property, take the square root of both sides of the equation. see image.

Sqroot17 can be simplified in radical form or a decimal approximation.

For the radical form note that 153 is 9×17.

Since 9 is a perfect square, it simplifies a little bit. see image.

plz help idk what to do :(

Answers

Answer:

x=5°

∠JIK=110°

Step-by-step explanation: From question,

20x-10+8x-20=140-6x

28x-30=140-6x

34x=170

x=170/34

x=5°

Eq. in ∠JIK,

140-30

=110°

It is found that on average, 9% of the population recycles its garbage. Under this assumption, if a random sample of 120 households in Iowa City is taken, would you be surprised to find that fewer than 3% of households in the sample recycle their garbage? Use the fact that p-hat has an approximately normal distribution. Group of answer choices I would not be surprised because there are lots of lazy students in Iowa City. I would not be surprised because 3% is not that far away from 9%. I would be surprised because Iowa City is a very clean community which means lots of people recycle their garbage. I would be surprised because if the 9% average is true, the chance of a sample proportion being less than 3% is very small (only 1%). Who cares? It's only garbage!

Answers

Complete Question

It is found that on average, 9% of the population recycles its garbage. Under this assumption, if a random sample of 120 households in Iowa City is taken, would you be surprised to find that fewer than 3% of households in the sample recycle their garbage? Use the fact that p-hat has an approximately normal distribution.

Group of answer choices

A I would not be surprised because there are lots of lazy students in Iowa City.

B I would not be surprised because 3% is not that far away from 9%.

C I would be surprised because Iowa City is a very clean community which means lots of people recycle their garbage.

D I would be surprised because if the 9% average is true, the chance of a sample proportion being less than 3% is very small (only 1%). Who cares? It's only garbage!

Answer:

The correct option is D

Step-by-step explanation:

From the question we are told that

    The sample size is  n  = 120

    The  mean of the proportion is  p =  0.09

   

Generally the standard deviation is mathematically represented as

      [tex]\sigma  =  \sqrt{\frac{p(1-p)}{n} }[/tex]

=>   [tex]\sigma  =  \sqrt{\frac{0.09(1-0.09)}{120 } }[/tex]

=>   [tex]\sigma  = 0.02612[/tex]

Generally the chance that fewer than 3%   of households in the sample recycle their garbage is mathematically represented as

    [tex]P(X < 0.03) =  P( \frac{X - p}{\sigma}  <  \frac{0.03 -0.09}{0.02612} )[/tex]

    [tex]P(X < 0.03) =  P( Z  < -2.297 )[/tex]

From the z-table  

     [tex]P( Z  < -2.297 ) = 0.01[/tex]

=> [tex]P(X < 0.03) = 0.01/tex]

=>   [tex]P(X < 0.03) = 1\% /tex]

For 23-25, use the table.
In Rhonda's school, the average amount
of time spent on homework on
weeknights was 56 minutes. The table
shows how far above
and
below average
five students' times were.
Student
Difference

Fred -5

Gina 0

Hanna 3

Ilsa -3

Jon 5

23. Which students' differences were
opposite?

ANSWER ASAP PLS

Answers

Answer:

Fred and Jon

Ilsa and Hanna

Step-by-step explanation:

Fred has a difference of -5. Jon has a difference of + 5.

Positive and negative 5 are opposite.  

Ilsa had a difference of -3. Hanna had a difference of + 3.

Positive and negative 3 are opposite.

Which sequence of steps is a correct derivation of the difference quotient for f(x) = ln(4 – x) – 1?

Answers

Answer:

Step-by-step explanation:

solution for .05n + .10d = .75

Answers

Answer:

d=−0.5n+7.5, n=−2d+15

Step-by-step explanation:

2(3x-4)=3x+1
I just need help solving this-

Answers

Answer:

x=3

Step-by-step explanation:

simplify

6x−8=3x+1

subtract 3x

3x−8=1

add 8 to each side

3x=9

divide both sides by 3

x=3

Use Heron's formula to find the area of the triangle. Round to the nearest square unit.

a = 8 inches, b = 13 inches, c = 7 inches

Group of answer choices

39 square inches

23 square inches

21 square inches

41 square inches

Answers

Answer:

24.25 in²

Step-by-step explanation:

s = (a + b + c)/2 = (8 + 13 + 7)/2 = 14 in

s - a = 6, s - b = 1, s - c = 7

so

the area = [tex]\sqrt{14\times6\times1\times7}=24.25[/tex]

Describe what happens if you divide a difference by 3.

Answers

The Rule for 3: A number is divisible by 3 if the sum of the digits is divisible by 3. What does this mean? This means that we need to add up the digits in the number and see of the answer is can be divided by 3 without a remainder. Step 2: Determine if 3 divides evenly into the sum of 18.

GUYS HELP ME WITH THIS WILL MARK BRANLIEST

Create a system of linear equations with no solution. In your final answer, include the system of equations and the graphs of the lines.

Answers

Answer:

A border of 3 cm width is printed on 500 sheets of paper, each of length 40 cm and width 30 cm fit costs 50p to print 100 cm of border, find the total cost of printing the border.

Divide. Write your answer in simplest form.
8/7÷4

Answers

Answer:

8/7 ÷ 4/1 = 7/32

Step-by-step explanation:

4/1 is the same as 4, flip all the Fractions so the bottom number is on the top and top on bottom and then multiply top x top and bottom x bottom

Hey there!

First, let's convert 4 into a fraction:

4=4/1

Now, divide the fractions:

[tex]\bold{\displaystyle\frac{8}{7} :\frac{4}{1}}[/tex]

Now, flop the second fraction over and multiply the first fraction times the second one:

[tex]\bold{\displaystyle\frac{8}{7} *\frac{1}{4}}[/tex]

Multiply the numerator (8) times the numerator of the second fraction (1) and multiply the denominator (7) times the denominator of the second fraction (4):

[tex]\bold{\displaystyle\frac{8}{28}}}[/tex]

Also, this fraction can be reduced:

[tex]\bold{\displaystyle\frac{4}{14}}[/tex]

We can divide by 2 again.

Hence, the answer is

[tex]\boxed{\boxed{\bold{\displaystyle\frac{2}{7}} }}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

:-)

#LearningDoesn'tEnd

[tex]\rule{200}{2}[/tex]

Which statement is true about the prime polynomial 2x2 + 3x + 3?

It cannot be modeled with a rectangle.
It can be modeled with a square.
It cannot be modeled with all positive tiles.
It can only be modeled with an odd number of tiles.

Answers

Answer:

A

Step-by-step explanation:

because problem make more sences

Answer:

A it cannot be modeled with a rectangle  

Step-by-step explanation:

5055 X 550 + 32 - 99 + 43333 X 5 =

first right gits branlist

Answers

The answer 2996848 your welcome

Answer:

the answer is 2996848

Step-by-step explanation:

I chose the first one please help if its not correct. Simplify.
y+ (15+ y)
15 + 2 y
17 y
15 y
15+ y

Answers

Answer:

15+2y

Step-by-step explanation:

take y to the other side

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