Complete the equation of the line through (2, 1) and (5, -8). Use exact numbers.​

Complete The Equation Of The Line Through (2, 1) And (5, -8). Use Exact Numbers.

Answers

Answer 1

Answer:

y = - 3x + 7

Step-by-step explanation:

( 2 , 1 )

( 5 , - 8 )

m = ( - 8 - 1 ) / ( 5 - 2 ) = - 3

y - 1 = - 3 ( x - 2 )

y = - 3x + 7


Related Questions

what is .9 repeating as a fraction

Answers

There is no answer to this because:

Any digit repeating like that would usually be ?/9

Example: 0.1 repeating = 1/9

                0.2 repeating = 2/9

                0.8 repeating = 8/9

But 0.9 repeating? There should not be a fraction for that.

If you want to round up to 1, you can.

The sum of the first and second terms of an AP is 4 the tenth term is 19 find the sum of the fifth and sixth terms

Answers

Answer:

20

Step-by-step explanation:

first term + second term = 4

tenth term = 19

fifth term + sixth term = ?

Since this is an arithmetic sequence:

first term = a

second term = a+d

tenth term = a+9d

Then we have

[tex]2a+d=4 \\ a+9d=19[/tex]

Upon solving the system of equation we have:

[tex]a=1 \\ d=2[/tex]

Since:

fifth term = a+4d

sixth term = a+5d

The final answer is:

fifth term + sixth term = [tex]2a+9d=2+18=20[/tex]

What is the exact length of AB ?

Answers

Answer:

B

4*2=8

Hope This Helps!!!


520
38°
220°
X = degrees

Answers

by taking complete angle

52+38+220+x=360

310+x=360

x=360-310

x=50

Complete the sentence below.
If 8^x= 8^3, then x =

Answers

[tex]8^x = 8^3\\\\\implies \ln(8^x) = \ln(8^3)\\\\\implies x \ln(8) = 3 \ln (8)\\\\\implies x = 3\\\\[/tex]

Which of the following is a square root of -18 ?

Answers

Answer:

It should be [tex]3\sqrt{2} i[/tex]

Step-by-step explanation:

Answer:

4.242.....

Step-by-step explanation:

Hope this helped!

Work out length AC.

10 cm
Not drawn
accurately

120
7 cm

Answers

Step-by-step explanation:

Well. Let's call α the 120° angle, and β its supplementary angle (80°). Let's draw also the height of the triangle. We'll call it CH. We know, from goniometric relations, that BC * sinβ = CH and BC * cosβ = BH. We just apply the pythagorean theorem so we get: AC = [tex]\sqrt{(AB+BH)^2+CH^2}.[/tex] By inserting all the values you'll get the result.

A sign along the highway says 6% grade for the next 7 mi. How many feet of vertical change there are along those 7 miles. (5280 feet

Answers

Answer:

Step-by-step explanation:

The length of the road is 7 * 5280 = 36960 feet

The grade is 6% which means that for every 100 feet horizontally, the road rises 6 feet.

6/100 * 36960 = 221760/100 = 2217.6 is the rise.

simplify √20 x √5

10
4√5
√10

Answers

10
20*5=100
Root of 100 is 10

3.75

Word form


please help

Answers

Answer:

three and seventy-five hundredths or three point seven five

Step-by-step explanation:

can someone plz help me I need the answer asap ​

Answers

Answer:

no. c is the correct answer

Darius and his friends bought 3 pizzas. Each pizza cost $9.89. They paid for the pizzas with 20 dollar bills.

How much change did they get?

Enter your answer in the box.


$|__|

Answers

Answer:

10.33

Step-by-step explanation:

9.89x3$29.67

40-29.67=$10.33

9.89x3=29.67

40-29.67= $10.33 is your answer

What is (f+g) (x) f(x) = -3x g(x)=-2x^2+x as a polynomial or rational function in simplest form?

Answers

Answer:

56xy23

Step-by-step explanation:

56 x 12 bhi 56 xy23

From her eye, which stands 1.74 meters above the ground, Sophia measures the angle of elevation to the top of a prominent skyscraper to be 44∘If she is standing at a horizontal distance of 369 meters from the base of the skyscraper, what is the height of the skyscraper? Round your answer to the nearest tenth of a meter if necessary.

Answers

The height of the skyscraper for the considered case is evaluated being of 358 meters approx.

What is angle of elevation?

You look straight parallel to ground. But when you have to watch something high, then you take your sight up by moving your head up. The angle from horizontal to the point where you stopped your head is called angle of elevation.

How to use right triangles to find the height of the specified sky scrapper?

Remember that we assume that building is vertical to the ground. This means, there is 90° formation.

For this case, referring to the figure attached below, we get:

The height of the skyscraper = h = length of ED (which is h - 1.74 meters) + 1.74 meters

Using the tangent ratio for triangle CDE, from the perspective of angle of elevation, we get:

[tex]\tan(44^\circ) = \dfrac{|ED|}{|CD|} = \dfrac{h-1.74}{|AB|} \\0.9656 \approx \dfrac{h-1.74}{369}\\\\h \approx 0.9656 \times 369 + 1.74 \approx 358 \: \rm m[/tex]

(from calculator, we obtained [tex]tan(44^\circ) \approx 0.9656[/tex] )

Thus, the height of the skyscraper for the considered case is evaluated being of 358 meters approx.

Learn more about tangent ratio here:

https://brainly.com/question/19594654

What is 1.3742 rounded to the nearest tenth?

Answers

Answer:

1.4 that is the true answer

Step-by-step explanation:

go to the place right after the decimal and then look at the number next to it.if it is greater the 5 it goes up to 1.4 and it is

How here we get 2 x 22 x 10

And how we multiply the formula of pi with any number

Answers

Answer:

The formula of pi is approximately 3.14 2×3.14

Can some help me i don't understand how to do this math!!

Answers

Answer:

Step-by-step explanation:

[tex]\frac{x}{(x-2)^{2} } -\frac{x}{(x-2)(x-1)} = \frac{x^{2}-x-x^{2} +2x }{(x-2)^{2}(x-1) }[/tex]

? = 2x -x = x

Pls help ion know how to this jaunt

Answers

Answer: a very straight forward b 2 4 and 6 c 9

Step-by-step explanation:

If there are 18 boys and 54 gurls in a room,fill out a of the possible ratios of boys to girls that could be made

Answers

Answer:

2:6 and 1:3.

Step-by-step explanation:

18 divided by 9 = 2

54 divided by 9 = 6

18 divided by 18 = 1

54 divided by 18 = 3.

Hope that helps. x

Answer : 1:3, 2:6, 3:9, 4:12, 5:15, 6:18, 7:21, 8:24, 9:27, 10:30, etc . . .

Step - by - step explanation :

18:54 divided by 6/6 = 3:9

3:9 divided by 3/3 = 1:3 <-- simplest form :D

can i get some help on this question?

Answers

Divide both sides by 8.5 to get b on its own

68/8.5 = 8
So b = 8
Answer:

Bye I hope this helps you pass!

4x+y=10 ( ?,-6)

Find the missing value. Show all work.

Answers

Answer:

(4 , -6) x = 4.

Step-by-step explanation:

Note that in a pair under ( X , Y) always consists of X as it's 1st element and Y as it's second element.

so now we know that ( ? , -6) has an X value which is unknown.

inorder to find X you'll simply need to use the Y value you're given which is Y = -6 from ( ? , -6)

now plot the y value into the equation

4X + Y = 10 , Y = -6

4X + (-6) = 10

4X + - 6 = 10 ...... we know that A + - B = A - B

4X - 6 = 10

now take -6 to the right side

when -6 is taken to the right side, it changes to +6

and so ..

4X = 10 + 6

4X = 16

now divide both sides by 4 to find X

4X / 4 = 16 / 4

4 the coefficient of X which is 4 cancels with out denominator which is now 4

X = 16 / 4

16 ÷ 4 = 4.

Alexis and her siblings buy their mom a bottle of her favorite perfume, Seabreeze, as a birthday gift. The bottle cost $50.84 and contains 4 ounces of perfume how much does the perfume cost per ounce

Answers

12.71 per ounce, hope this helped :))

Answer: 12.71

Step-by-step explanation: 50.84 divided by 4 = 12.71

Asap?


Robert wrote two patterns. Pattern 1 started at 2 and followed the rule "add 4." Pattern 2 started at 1 and followed the rule "add 3." Pattern 1 is represented by x-coordinates, and Pattern 2 is represented by y-coordinates. Which table shows the ordered pairs for these two patterns?


X Y
1 2
4 6
8 10
12 14

X Y
2 1
6 4
10 7
14 10

X Y
1 2
2 6
3 10
4 14

X Y
2 1
4 4
6 7
8 10

Answers

Answer:

the 2nd one lol

Step-by-step explanation:

Answer:

number 2ᕙ(@°▽°@)ᕗStep-by-step explanation:

Find the area between f(x) = 3x and f(x) = x2 on the interval (0,3]

Answers

Answer:

[tex]A=4.5[/tex]

Step-by-step explanation:

The area between two curves over the interval [tex][a,b][/tex] is [tex]A=\int\limits^b_a {f(x)-g(x)} \, dx[/tex] where [tex]f(x)[/tex] is the upper function and [tex]g(x)[/tex] is the lower function.

Therefore:

[tex]A=\int\limits^3_0 {3x-x^2} \, dx[/tex]

[tex]A=\frac{3}{2}x^2-\frac{x^3}{3}\Big|_0^3[/tex]

[tex]A=[\frac{3}{2}(3)^2-\frac{(3)^3}{3}]-[\frac{3}{2}(0)^2-\frac{(0)^3}{3}][/tex]

[tex]A=\frac{3}{2}(9)-\frac{27}{3}[/tex]

[tex]A=\frac{27}{2}-\frac{27}{3}[/tex]

[tex]A=\frac{9}{2}[/tex]

[tex]A=4.5[/tex]

So, the area between [tex]f(x)=3x[/tex] and [tex]g(x)=x^2[/tex] on the interval [tex](0,3][/tex] is [tex]4.5[/tex] square units.

Fill in the missing value for Y,
then click DONE.
y = 2x + 3

Answers

Answer:

x = 2 so y = 7

x = 4 so y = 11

Step-by-step explanation:

y = 2x + 3

x = 0 so y = 2(0) + 3 | y = 3

x = 2 so y = 2(2) + 3 | y = 7

x = 4 so y = 2(4) + 3 | y = 11

x = 6 so y = 2(6) + 3 | y = 15

How do you write an equation of a line given y-intercept -8 and slope 3/4

Answers

Answer:

[tex]y = \frac{3}{4} x-8[/tex]

Step-by-step explanation:

You can us the equation y = m x + c to answer this question.

In ,

y = m x + c

m = slope

c = y - intercept

So, they have already given in the question that,

m = 3/4

c = (-8)

Therefore, you can simply put 3/4 and (-8) instead of m and c respectively like this.

y = m x + c

y = 3/4x - 8

Hope this helps you.

Let me know if you have any other questions :-)

Someone please help me with this it’s an emergency

Answers

Answer:

The answers are given in the photo

The water level in a tank measures 15 inches and is decreasing 0.5 inches every
minute.
How many minutes, x, will it take for the water level to measure 9 inches deep?

Answers

Answer:

The answer is 12 minutes

Step-by-step explanation:

This is because if you're seeing how long it takes to get from 15 inches to 9 inches, that is a difference of 6 inches.

6 / 0.5 inches per minute = 12 minutes

The tank would take time of 12 minutes for the water level to measure 9 inches deep.

What is the two-step problem?

A two-step problem is a word problem that must be addressed in two steps. While many of these questions have only one step, a two-step word problem requires the solution of two separate equations.

Two separate operations (like multiplication and addition) or two of the same operation may be utilized in the two-step word problem (like subtraction and subtraction).

Given a tank measurement of 15 inches, it shrinks by 0.5 inches per minute.

We must calculate the minute when the water level reaches 9 inches deep.

The difference in inches is 6 inches.

15 inches - 6 inches = 9 inches

Calculating for minutes,

⇒ 6 / 0.5

⇒ 12 minute

Therefore, the tank would take time of 12 minutes for the water level to measure 9 inches deep.

To learn more about the two-step problem click here :

brainly.com/question/26119747

#SPJ5

someone please help me

Answers

Answer:

m = 5

Step-by-step explanation:

Since the triangles are similar in the way shown, then

6/10 = 3/m

6m = 10 × 3

m = 5

Rsound answer to two decimal places

80.75757575757575757575​

Answers

Answer:

[tex]80. \bar{75}[/tex]

Other Questions
Comic relief is used to give audiences some relief from serious themes and to help prepare them for the next serious scene.TrueFalse A molecule that has oppositely charged ends is called ____. How does the first paragraph of this excerpt evoke a sense of time in the narrative?It tells the history of the community, using frequent, appropriate transitions.It uses vivid sensory language to thrust the reader mentally into the scene.It describes physical objects such as the wall, the boats, the promontory, and the village houses.It describes how the original colonists left their homeland and crossed the sea to their new community. how did the early man explain the world around them Seasonal affective disorder is a seasonal bout of depression associated with the decreased hours of daylight during winter months.O a. TrueO b. False how are homogeneous mixtures different from heterogeneous mixtures in mythology, the sphinx has the head of a human and the body of a what? Helppppppppppppppppp Question 9 (1 point)Which piece of legislation was NOT meant to pay off debts?a) Sugar Actb) Quartering Actc)Stamp Act Reduce to simplest form.12/11 - (-2/3) = What is an inference supported by the text about characteristics in two different biomes? My parents are tall but Im short am I adopted??? Two polygons have a similarity ratio of 4:5. If the perimeter of the first one is 10 inches, then what is the perimeter of the second?Group of answer choices11 inches8 inches12.5 inches15 inches During the Cold War, the Space Race became an important competition between the United States and the Soviet Union.Use the Internet and any text resources available to you to research the Space Race. Then write a 3-5 paragraph essay about this historical event.Address the following in your essay: Explain why the United States and the Soviet Union engaged in the Space Race and when it occurred. Describe the purpose, financial cost, risks, and benefits of the Space Race.In your view, explain whether the benefits of the Space Race were worth the risks and costs.. Graph a line with a slope of -3/4 that contains the point (2,3). Most igneous rocks form by which processes?PLEASE SOMEONE HELP ME ILL GIVE YOU BRAINLIST ANSWER!!! for an enzyme to be able to catalyze a reaction, the active site must 1 minute is equal to 60 seconds. How many seconds are in 3 minutes, 37 seconds? NEED ASAP which economic system is driven by competition and became popular during the industrial revolution A. socialism B. communism C. democracy D.capitalism Which geographic barriers isolated East Asia from other lands and peoples?