What is an equation of the line that passes through the points (-4, 4) and (8, 1)?​

The relation that is an inverse variation is the one in the first table:

x 2 4 6 8

f(x) 12 6 4 3

An inverse variation between two variables x and y can be written as follows:

y = k/x

Where k is a constant.

Notice that x is on the denominator, so, as x increases, the value of y decreases.

Now, for example if we use the values of the first table:

x 2 4 6 8

f(x) 12 6 4 3

The first pair is (2, 12)

Replacing that in the inverse variation formula we get:

12 = k/2

12*2 = k

24 = k

For the second pair (4, 6) we will get:

6 = k/4

6*4 = k

24 = k

And so on for all the pairs. If the variation is inverse, you should always get the same value of k (like in this case).

So this is the correct answer.

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Answer:

M= the slope or the gradient

B= the y-intercept

y= the output value

x= the input value

Step-by-step explanation:

Answer:

m = 2

b = 8

y = 2x+8

Answer:

27,36,45

Step-by-step explanation:

Pythagorean theorem

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

[tex]6^{2}+ 9^{2}\\ =117\\\neq 12^{2}[/tex]

[tex]7^{2}+ 10^{2}\\ =149\\\neq 12^{2}[/tex]

[tex]16^{2}+ 18^{2}\\ =580\\\neq 25^{2}[/tex]

[tex]27^{2}+ 36^{2}\\ =2025\\= 45^{2}[/tex]

Answer:

37 23/12

Step-by-step explanation:

First, make them all have a common denominator.(12) Then, multiply as needed. Lastly, add all three number together.

Answer:

38 11/12

Step-by-step explanation:

Turn all denominators to 12. what you do the the bottom due to the top.

Answer:

Rational

Step-by-step explanation:

Hope this helps!!

Answer:

can you provide more information and explain

Step-by-step explanation:

Answer:

Step-by-step explanation:

In graphing inequalities, the first thing to do is graph the equation first irregardless of the inequality symbol. In the given problem, the equation to be graphed is f(x) = 2/9x + 3. Since it has a general form of y=mx + b, this is a linear function. Plot the graph by assigning arbitrary points of x, then you get the corresponding f(x) values. Graph the x values against the f(x) values. The blue line the attached picture will be formed.

Next, you solve the equation by finding x. Just don't mind the inequality symbol:

2/9 x + 3 > 4 5/9

2/9x > 4 5/9 - 3

2/9x > 14/9

x > 14/9 ÷ 2/9

x > 7

Hence, the value of x must be greater than 7. To show this in the graph, find the line where x=7. Create a partition using that line, then shade the rest of the portion where x is greater than 7 until infinity.

First things first: all quadrilateral have an interior of 360⁰. With that info, you can do your exercice.

the first one:

the angle P =90⁰

the angle Q=90⁰

So you do the deduction:

360⁰-90⁰-90⁰-65⁰= 115⁰

the second one:

the angle F=60⁰

so you do the same thing as number one:

360⁰-60⁰-60⁰= 240⁰

240⁰/2= 120⁰

Voilà!

Answer:

that look like  complementry and supplementry angles

Step-by-step explanation:

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

<a & <h are alternate exterior angles because they're a pair of angles on the outer side of each of those two parallel lines but on opposite sides of the transversal.

Answer:

700.7

Step-by-step explanation:

You're looking for distance. So all you have to do is  18.2 x 28.5 and you'll get your answer.

Hope this helps. :)

The distance travelled 700.7 feet

given:

speed= 18.2 ft/ sec

time= 38.5 sec

So,

speed= Distance/ time

distance= speed * time

             = 18.2 * 38.5

             = 700.7 feet

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Answer:

x = 3

Step-by-step explanation:

Step 1: Subtract 3x from both sides.

6x + 5 − 3x = 3x + 14 − 3x

3x + 5 = 14

Step 2: Subtract 5 from both sides.

3x + 5 − 5 = 14 − 5

3x = 9

Step 3: Divide both sides by 3.

[tex]\frac{3x}{3} = \frac{9}{3}[/tex]

x = 3

Hope it helps!!

The solution of the linear equation with a single variable 6x + 5 = 3x + 14 will be 3.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The equation is given below.

6x + 5 = 3x + 14

Simplify the equation, then we have

6x + 5 = 3x + 14

6x - 3x = 14 - 5

3x = 9

x = 3

The solution of the linear equation with a single variable 6x + 5 = 3x + 14 will be 3.

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Answer:

A. sin(-60°)

Step-by-step explanation:

test on edge

Answer of given expression is sin(-60°)

Trigonometric functions defined as the functions which show the relationship between angle and sides of a right-angled triangle.

Given expression,

sin(20°)cos(80°) – cos(20°)sin(80°)

∵ sin(A-B) = sinA.cosB – cosA.sinB

∴ sin(20°-80°)

So, sin(-60°)

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Answer:C

Step-by-step explanation:

Answer:

f(3) = 6

Step-by-step explanation:

F(3)=-(3)2+4(3)

f(3) = -6 + 12

f(3) = 6

Answer: I think is 420 miles in 7 hours

hope this helps :D

Step-by-step explanation:

Answer:

A train would cover 180 miles in 3 hours, So in 6 hours it will cover 360 miles, in 7 hours it will cover 420 miles.

Step-by-step explanation:

150 miles → 2 1/2 hours = 150 minutes

x miles     → 3 hours = 180 minutes

(150 × 180) ÷ 150 = x miles

27,000 ÷ 150 = x miles

180 = x miles

Answer:

AC = DE

Step-by-step explanation:

-1 1/5 * 6      -1 5/6 * 5

-1 6/30    divided by     -1 25/30

-4/30

i think thats the answer sorry if im wrong :(

Answer:

C

Step-by-step explanation:

between three and four

Answer:

XZ=41

Step-by-step explanation:

I'm pretty sure all you do is add 17 to 24

Answer:

$43,200

Step-by-step explanation:

40,000*0.08=3,200

40,000+3,200=43,200

Hope this helps!

Answer:

-6, -2, |-6|, |-7| 10

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

y2-y1/x2-x1

0-5/4-3

-5/1

Answer:The Answer is Answer is B

Answer:

The answer is A y = -2 x - 6

Step-by-step explanation:

I got this question right on the test I took. Hope this help!

Answer:

a

Step-by-step explanation:

i got it right on edg 2020

Answer:

-28.08 degrees celsius

Answer:

[tex]A = 101.5825591635[/tex]°

Step-by-step explanation:

We can use the law of cosines.  We have a triangle with side lengths as attached. (See image.)

So we want to solve for angle A.

We do this by using:

[tex]cos(A)=(b^2 + c^2 - a^2) / (2bc)[/tex]

Here we have:

a = 36

b = 27

c = 19

So we plug in to get:

[tex]cos(A)=(27^2 +19^2-36^2)/(2*27*19)[/tex]

[tex]cos(A)=-0.20077972709[/tex]

[tex]A = 101.5825591635[/tex]°

Answer:

D

Step-by-step explanation:

Answer:

‒3

Step-by-step explanation:

2b/3‒5=3

2b=3(3‒5)

2b=3(‒2)

2b=‒6

2b/2=‒6/2

b=‒3

you can proof as the following(by replace ‒3)

2(‒3)/3‒5=3

‒6/‒2=3

3=3

i hope it helps you