Find the slope of the line that passes through the points (0,-11) and (8,-8).

Answers

Answer 1

To find the slope of a line, we can use the following formula:

[tex] \displaystyle \large{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]

m-term stands for slope or gradient. The formula is useful whenever you want to find a slope of two points.

Let these be the following:

[tex] \displaystyle \large{(x_1,y_1) = (0, - 11)} \\ \displaystyle \large{(x_2,y_2) = (8, - 8)}[/tex]

Substitute the points in formula:

[tex] \displaystyle \large{m = \frac{ - 8 -( - 11)}{ 8 - 0} }[/tex]

Negative multiply negative always come out as positive.

[tex] \displaystyle \large{m = \frac{ - 8 + 11}{ 8 - 0} } \\ \displaystyle \large{m = \frac{ 3}{ 8 } } \\ [/tex]

Since m stands for slope, we can say that:

[tex] \displaystyle \large \boxed{ \tt{slope = \frac{3}{8} }}[/tex]

Answer 2

Answer:

Step-by-step explanation:

(x₁  ,y₁) = (0,-11)     & (x₂ , y₂) =   (8,-8)

Slope = [tex]\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

          [tex]=\dfrac{-8-[-11]}{8-0}\\\\=\dfrac{-8+11}{8}\\\\=\dfrac{3}{8}[/tex]


Related Questions

permiter math equation help pls

Answers

Hi

First dont panic. this one is pretty easy.

you known that the perimeter is the addition of every sides of a figure.

you have the total perimeter : 84.6

so now you just have to withdraw every side you have to the total , and the missing measure will be the result.

have a try ! you can make it.

Need help ASAP pls pls!!!!!!

Answers

Answer:

60

Step-by-step explanation:

the total games that Sara played =

14+18+28 = 60

[tex]\sqrt{x} 200[/tex]

Answers

Answer:

[tex]10 \sqrt{2x} [/tex]

Step-by-step explanation:

[tex] \sqrt{x200} = \sqrt{200x} [/tex]

[tex] \sqrt{ {10}^{2} \times 2x } [/tex]

[tex] \sqrt{ {10}} \sqrt{2x} [/tex]

[tex]10 \sqrt{2x} [/tex]

10/2x is the answer for it

name two pairs of congruent angles in the figure. Justify the answer. help please!

Answers

Answer: a. <aib & <bic

Step-by-step explanation: because those two angles are both 45 degrees, meaning they are congruent.

In the given options, there are two pairs of congruent angles in the figure. They are ∠AIB and ∠BIC according to the Equal Complements Theorem. ;∠AIC and ∠BID according to the Right Angles Congruent Theorem. Option a and c is the correct answer.

Congruent angles are angles that have the same measure. In other words, if two angles are congruent, it means that they have the same degree of rotation or the same amount of opening between their sides. Option a and c is the correct answer.

1. ∠AIB and ∠BIC according to the Equal Complements Theorem. The Equal Complements Theorem states that if two angles are complementary to the same angle (or congruent angles), then they are congruent to each other. In the figure, both ∠AIB and ∠BIC are complementary to angle ∠BIC. Therefore, according to the Equal Complements Theorem, ∠AIB and ∠BIC are congruent angles.

2. ∠AIC and ∠BID according to the Right Angles Congruent Theorem. The Right Angles Congruent Theorem states that all right angles are congruent. In the figure, both ∠AIC and ∠BID are right angles. Therefore, according to the Right Angles Congruent Theorem, ∠AIC and ∠BID are congruent angles. Therefore, the correct pairs of congruent angles in the figure are ∠AIB and ∠BIC, as well as ∠AIC and ∠BID.

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Line segment JL has point J located at (4, 10) and point Lat (-2, 3).
What are the coordinates of point K that bisects JL?

Answers

Answer:

1,6.5

Step-by-step explanation:

4-2/2 = 1

10+3/2 = 6.5

1,6.5 is the coordinate of point K

f(x)= −x^2 + x + 14 Find f(2)

Answers

Answer:

f(2) = 12

Step-by-step explanation:

f(x = −x^2 + x + 14

Plug in:

f(x) = −2^2 + 2 + 14

Solve:

f(x) = −2^2 + 2 + 14

f(x) = -4 + 2 + 14

f(x) = -2 + 14

f(x) = 12

Hope this helped.

Answer:

20

substitute x for 2 in the equation

f(2)= (-2)^2 + 2 + 14

= 4+2+14

= 20

52 plus what equals 208

Answers

Answer:

The answer is 156 Hope it helps!

Step-by-step explanation:

Simplify.

184.10
x 16
-----------

Answers

Answer:

2945.6

Step-by-step explanation:

if BC = 6x-16 and CD = 4x + 10, then x = ?

Answers

Answer:

13

Step-by-step explanation:

BC and CD are equal, so both equations will equal eachother.

6x - 16 = 4x + 10

     +16         +16

------------------------

    6x = 4x +26

    -4x  -4x

------------------------

      2x = 26

      ----   -----

       2      2

        x = 13

Hope this helped.

What is the value of X?​

Answers

Answer:

5 * sqrt(3)

Step-by-step explanation:

The sine of 60 degrees is equal to x/10 because x is opposite to it and 10 is the hypotenuse. Since the sine of 60 degrees is equal to sqrt(3)/2, sqrt(3)/2 = x/10. Because 5sqrt(3)/10 = sqrt(3)/2, 5sqrt(3)/10 = x/10 and therefore 5sqrt(3) = x.

The answer would be 5 and something to help you when doing these questions is using sin tan cos. If you search it up it shows which one to use when it comes to equations like this. And when you find it you enter it in your calculator. Since you need the opposite your gonna use COS. Cos(60) = 10 and then your gonna put an x under cos(60) as if it was a fraction and do cross multiply. And that’s how you will get 5.

2 2. Solve. Show your work. Harry can swim 20 laps in a pool in 18 minutes (swimming at a constant speed). How many laps could he swim in 45 minutes? (Swimming with the same speed.)​

Answers

Answer:

there will be 50 laps in 45 minutes.

Step-by-step explanation:

Laps in 18 minutes=20

Caculate laps for 1 minute:

Laps in 1 minute=20/18

Now ,calculate laps for 45 minutes:

Laps in 45 minutes=20/18 × 45

= 50

Note: if you have any question about it you can ask.Thanks

Answer for-159=-5(1-4n)+6

Answers

[tex]- 159 = - 5(1 - 4n) + 6 \\ - 159 = - 5 + 20n + 6 \\ - 159 = 1 + 20n \\ 20n = - 159 - 1 \\ 20n = - 160 \\ \\ n = \frac{ - 160}{20} = - \frac{16}{2} = - 8 \\ \\ n = - 8[/tex]

I hope I helped you^_^

a) The bus fare of 8 passengers is Rs 640. If the fare is decreased by Rs 5 per passenger, how many passengers can travel for Rs 900?​

Answers

Answer:

THE ANSWER IS 12 because :

640÷8=80

80-5=75

900÷75=12.

Total 12 passenger can travel for, Rs900.

What is ratio?

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Fare of 8 passengers = Rs640

Therefore, fare of 1 passenger = 640/8 = Rs80

Since, the fare is decreased by Rs5 per passenger,

Therefore, new fare = 80 - 5 = Rs75

The number of passengers that can travel for, Rs900

= 900/75

= 12

Total 12 passenger can travel for, Rs900.

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Can someone give me the answer.

Answers

Answer:

1 inch

Step-by-step explanation:

Basically cause both b and c tend to form an equidistant triangle which makes them have the same distance

A swimming pool is 50 m long and 25 m wide. It is 1.2 m deep at shallow end and 2 m deep at the other end.

Answers

Answer:

the answer is in picture

Use the distributive property to write an equivalent expression.
8(3v+3w-2)

Answers

Answer:

24v + 24w - 16

Step-by-step explanation:

Given,

8(3v+3w-2)

(By distributive property)

= 8 × 3v + 8 × 3w - 8 × 2

= 24v + 24w - 16 (Ans)

Answer:

24v + 24w - 16

Step-by-step explanation:

Given

8(3v + 3w - 2) ← multiply each term in the parenthesis by 8

= 24v + 24w - 16

HELP DETERMINE THE RANGE OF THE FOLLOWING GRAPH … I WILL MARK BRAINLIEST

Answers

While the domain is how far left-to-right the graph goes (it’s about the x-values),

the range is about how low to how high the graph gets. The range is about the y-values used in the graph.

Your graph bottoms out at -6 and tops out at 4, but never gets to 4, because of that open circle.

So the range is -6 ≤ y < 4. Note that we use y for the range.

Interval: [-6,4)
Set-builder: { y | -6 ≤ y ≤ 4 }
Again, be sure to use y in the set-builder.

what is the distance between points (4,0) and (-2,-3)

Answers

Hi! I'm happy to help!

To solve this equation, we need to find how much distance is between the y coordinates, how much distance is between the x coordinates, and then use the Pythagorean Theorem.

Let's start with finding the distance between the x coordinates. The first x coordinate is 4, and the second is -2. This means that the distance in x is 6.

Next, we need to find how much distance is between the y coordinates. The first y point is at the y coordinate 0, and the second is at the y coordinate -3. This means that the distance in y is 3.

Now we use the Pythagorean Theorem, which says that a²+b²=c²

A and b refer legs of a right triangle, and c refers to the hypotenuse (longest side) of the right triangle. Imagine the two points on a line, the direct distance is the c, and the y and x movements alone are a and b.

Let's say x is a, and y is b. Let's insert our values:

6²+3²=c²

36+9=c²

45=c²

To find c, we need to find the square root of 45

√45

6.708203...

Rounds to about 6.7 in tenths.

So, the distance between those two points is about 6.7.

I hope this was helpful, keep learning! :D

Answer:

im doing online school and the correct answer is 6.7

Step-by-step explanation:

PLS HELP WILL MAKE FIRST RIGHT ANSWER BRAINLIEST ​

Answers

Answer: -8 is the answer.

Step-by-step explanation:

according to the question:

{{(8+4)*5}/(-10)}-2

= {[12*5}/(-10)]-2

= [60/(-10)]-2

= -6-2 = -8

Step-by-step explanation:

8+4=12

12×5=60

60÷-6=-6

-6-2=-8

the correct answer is D. -8

Convert 402.12 to a fraction

Answers

Answer:

40212/100

Step-by-step explanation:

To write 402.12 as a fraction you have to write 402.12 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

402.12 = 402.12/1 = 4021.2/10 = 40212/100

And finally we have:

402.12 as a fraction equals 40212/100

answer:

[tex]\frac{10053}{25}[/tex]

first, you would convert 402.12 to a mixed number by placing the numbers to the right of the decimal over 100. and then reduce the fraction.

you would get [tex]402\frac{3}{25}[/tex]

convert the mixed number to an improper fraction:

25×402+3=10053

and lastly, place your new numerator over the original denominator:

[tex]\frac{10053}{25}[/tex]

all the number sets that apply to -4/5

Answers

-8/10,-12/15,-16/20,-20/25,-24/30,etc.

The number sets that apply to -4/5 is the fractions.

What is a fraction?

Fractions represent the parts of a whole or collection of objects.

A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.

Now the given number is,

-4/5

-4/5 is a fraction. A fraction has two components numerator and denominator. This can positive or negative. Other example of fractions include 1/2,3/2,-5/2,-1/3.

The numbers who are not fractions are 0, 3, 6, 7.7.

Thus, the number sets that apply to -4/5 is the fractions.

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19 of 25 QID: 94600

For the function f(x) = x2 + 4, identify the values of f(0), f(1/2), and f(−1).


0; 19/4; 5
0; 19/4; 3
4; 17/4; 5
4; 17/4; 3

Answers

Answer:

4; 17/4; 5

Step-by-step explanation:

For f(0)

Replace all x to 0:

f(0)=0^2+4

4

For f(1/2)

1/2^2+4

Which is 17/4

For f(-1)

-1^2+4

Which is 5

Hope this helps!

Combining Like Term

Which of the following expressions are the same? Write 3 sentences to show or explain how you know.
Expression A: 10x - 4x - 4
Expression B: 14x - 4
Expression C: 5x+x-4

Answers

Answer:

Step-by-step explanation:

b

Yes what he said is right lol

A square section of a kitchen floor is made of
64 square tiles. How many tiles are on each
side of the square section of the kitchen floor?

Answers

I think it’s 8 bc the area is 64 so if u divide you get 8 for each side of the floor

(solving rates) At a school camp

there is enough

food for 150

students for 5

days. a How long

would the food last

if there were only

100 students? b If

the food ran out

after only 4 days,

how many

students attended

the camp?

Answers

5 days food for 150 students suggests there was 750 day rations

If there was 100 students this would last 750/100 = 7.5 days.

If it ran out after 4 days there were 750/4 = 187 students (187.5 not valid)

The price of an item is 33.10 You give the cashier two $20 bills. What is the change?

Answers

Answer:

answer) the change is $7.90

I think the answer is $6.90

There are 6 rental cars available for 18 riders, each holding either 2 or 4 riders. how many rental cars hold exactly 2 riders?

Answers

Answer:

Cars for 2 riders are 3

Step-by-step explanation:

I. When total riders is 18

  4(3) = 12  => Cars for 4 riders

  2(3) = 6   => Cars for 2 riders

Got more question or something to discuss, leave comment below

hewo um what is 1804 divided by 12 and has anyone seen my hacker friend.

Answers

Answer:

150.333

Step-by-step explanation:

The three is repeated

The second angle in a triangle is 3 degrees less than twice the first angle. The third angle measures 8 degrees more than twice the first angle. FInd each angle

Answers

man this math sucks i have no idea i need points tho

B is on line AC. If AC = 28, AB = x^2+2x, and BC = x, Find the value of x and AB

Answers

X=10. Is the awnser for this one

X = 4

Step-by-step explanation:

AB + BC = AC

x^2 +2x + x = 28

×^2 + 3× - 28 = 0

Step 1: Factor left side of equation.

(x−4)(x+7)=0

Step 2: Set factors equal to 0.

x−4=0 or x+7=0

x=4 or x=−7

x = 4 is the correct answer because the distance cant be negative

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