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4 years ago

Find the distance from the point (-6,8) to the line y=-3x+10. Round distance to nearest hundredths.

1 answer:

8 0

You use the distance distance formula d √︎(x₂-x₁)+(y₂-y₁) on this as well as y=mx+b.

With mx+b you find your second set of coordinates. With the distance formula you get your square root.

So y=-3x+10 well send you 10 up the y intercept the, neg 3 down, and positive one across the x axis.

This gives you your second set of coordinates (1,7) to go with your first set.

You apply both sets of coordinates to the distance formula. d √︎(x₂-x₁)+(y₂-y₁)

You get √︎(1-(-6))+(7-8)
Then √︎7-1
Finally √︎6

And √︎6 is between 2*2 and 3*3

Rough guess, the Sq root of 6 is 2.449 or rounded to the hundredth 2.45

You might be interested in

In a lottery game a player wins $1,000,000 with probability 0.0000005, wins $200,000 with probability0.000002, and wins $30,000

MariettaO [177]

Answer:

$X_1 = 1000000 , P(X_1)= 0.0000005$

$X_2 = 200000 , P(X_2)= 0.000002$

$X_3 = 30000 , P(X_3)= 0.00001$

$X_4 = -2, P(X_4) = 1-0.0000005-0.000002-0.00001= 0.9999875$

And then replacing we have this for the expected value:

$E(X) = 1000000*0.0000005 +200000*0.000002+30000*0.00001 2*0.9999875$

And after do the math we got:

$E(X) = -0.79998$

And then the expected value for this game is -0.79998 a negative result means NOT a win.

Step-by-step explanation:

For this case we can define the random variable X as the amount that we can win. We can find the expected value with the following formula:

$E(X) = \sum_{i=1}^n X_i P(X_i)$

And we have the following probabilities and possible values given:

$X_1 = 1000000 , P(X_1)= 0.0000005$

$X_2 = 200000 , P(X_2)= 0.000002$

$X_3 = 30000 , P(X_3)= 0.00001$

$X_4 = -2, P(X_4) = 1-0.0000005-0.000002-0.00001= 0.9999875$

And then replacing we have this for the expected value:

$E(X) = 1000000*0.0000005 +200000*0.000002+30000*0.00001 2*0.9999875$

And after do the math we got:

$E(X) = -0.79998$

And then the expected value for this game is -0.79998 a negative result means NOT a win.

7 0

3 years ago

Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)

natta225 [31]

Answer:

X=4 6 x 4=24. so when y turns 16, what time four gets 16? 4x4=16

Step-by-step explanation:

hope this helps

3 0

3 years ago

The lengths of the three sides of a triangle (in inches) are consecutive odd integers. If the perimeter is 63 inches, find the v

monitta

The length of the shortest side of the triangle in discuss is; x = 20 in.

<h3>What is the length of the shortest side of the triangle as given in the task content?</h3>

It follows from the task content that the length of the shortest side can be assumed to be; x in.

Therefore, the perimeter of the triangle is as follows;

Perimeter = x +(x+1) + (x+2)

63 = 3x +3

60 = 3x

x = 20 in.

Read more on perimeter of triangles;

brainly.com/question/24382052

#SPJ1

6 0

2 years ago

Questions 19 - 23. 23 is cut off a part so the second page is the rest of it.

ludmilkaskok [199]

19. Distributive property is multiplying everything outside of the parenthesis by everything in them!

Let's do it

2(3x + 4y)

We will multiply 2 by 3x and 2 by 4y

2 × 3x + 2 × 4y = ?

6x + 8y

20. Solving algebraically is using multiplication and division, addition and subtraction!

5h = 25

divide 25 by 5 to find h

h = 25/5

h = 5

2 + c = 12

subtract 2 from both sides

2 + c - 2 = 12 - 2

c = 12 -2

c = 10

3y + 10 = 40

We need to do subtraction and division for this one!

Let's subtract 10 from both sides

3y + 10 -10 = 40 - 10

3y = 30

Divide 30 by 3 to find y

y = 30/3

y = 10

CAN't SOLVE #21 BECAUSE OF LACK OF INFO

22. To find equivalent ratios, let's simplify them!

To simplify ratios, we need to find the highest common factors

a. 2:6

The highest common factor between 2 and 6 is 2, so let's divide both sides by 2

We get ... 1 : 3

b. The highest common factor between 12 and 30 is 6, so let's divide both sides by 6

We get ... 2 : 5

23. To find how many songs are played during a certain amount of time, all we need to do is multiply 12 (the amount of songs played in 1 hour) by however many hours they say!

This can be expressed like this

a. # of songs = 12 × h

Now let's use this expression to answer the next two parts of this question!

b. to find the "# of songs" played in 24 hours, all we need to do is multiply 12 by 24! 24 will be the "h" in our expression. h is the number of hours

Here's what it looks like using our expression we made

# of songs = 12 ( 24)

Solve using a calculator

# of songs = 288

c. To find how many hours it will take to play 60 songs, we will put it in place of the LEFT SIDE of the equation that says "# of songs"

Let's solve it now!

It looks like this ... 60 = 12h

Let's divide to find the number of hours!

60/12 = h

60/12 = 5

It will take 5 hours to play 60 songs!

Hope I helped! Message me or comment if you have any questions or concerns! :)

5 0

3 years ago

Read 2 more answers

AC with B between A and C,AC=12inch and AB 7in what is the ratio of AB to BC

s344n2d4d5 [400]

Answer:

Step-by-step explanation:

AC = AB + BC; BC = AC - AB

AC = 12 in

AB = 7 in

BC = 12 - 7

BC = 5

AB/BC = 7/5

7 0

3 years ago