Find the distance between each pair of parallel lines with the given equations y=3x, y=3x+10

Answers

Answer 1

Answer:

sqrt10

Step-by-step explanation:

Since the closest distance between two parallel lines is a line that is perpindicular to them, we first find the line of the slope that is perpindicular to both lines. Since slope of line y = 3x+10 is 3, the slope of the line that is perpinduclar is -1/3. Therefore y = -1/3x is perpindicluar to both lines. We then find the intersection point of each line. We find said points by setting the lines equal to each other. 3x+10=-1/3x, x = -3 therefore y = 1. For the second line we get we find the origin is the intersection. Therefore since this forms a right triangle with the x axis, we find that the distance is 3^2+1^2 = sqrt10


Related Questions

This is actually really confusing please help me out.

Answers

Answer:

a ball bouncing off a wall

Step-by-step explanation:

Think of it like how if you would flash a flashlight at a mirror it would reflect off of it right? And it would go the opposite way. So it’s like a ball that u throw at a wall because a ball would bounce off the fall going opposite. I hope that makes sense. ^^

I need help ASAP!!!!!

Write the equation of the line in slope intercept form that has the given slope and the y-intercept

4). m=2;y-intercept is -6
5). m= -1; y-intercept is 3
6). m= -1/3; y-intercept is -1

Answers

Answer:

4). y= 2x - 6

5). y= -1x + 3

6). y= -1/3x - 1

Please Help Me, Answer The Questions and I give you 100 Brainly Points

Answers

lol what’s the question

Answer:

Whats the question??? and then i can help you>>

Step-by-step explanation:

A circle divided into 4 parts. 2 parts are shaded.
Which fraction is equivalent to One-half? Use the diagram to help answer the question.

One-fourth
Two-fourths
Three-fourths
Four-fourths

Answers

it would have to be two-fourths

A circle is divided into 4 parts out of which 2 parts are shaded. The diagram is attached for a better understanding. The fraction equivalent to 'Half' is 'Two-fourths'.

A fraction is part of the whole. It consists of two parts, that are:

1. Numerator: The number at the top of a fraction is called Numerator.

2. Denominator: The number at the bottom of a fraction is called Denominator.

The 'Half' is written in the number system as [tex]\dfrac{1}{2}[/tex].

Let's multiply the numerator and denominator by 2,

[tex]\dfrac{1}{2}= \dfrac{1 \times 2}{2 \times 2} = \dfrac{2}{4}[/tex]

Hence, the factor 'Two-fourths' is equivalent to 'Half'.

Learn more about Fraction here:

https://brainly.com/question/10354322

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In a survey of 500 people, 31% percent said they were afraid of flying what decimal represents the number of people who said they were afraid of flying?

Answers

Answer:

0.31

Step-by-step explanation:

Given that :

Total number surveyed = 500

Percentage who are afraid of flying = 31%

Decimal which represents number of people who are afraid of flying :

Converting 31% into decimal form:

31 / 100

= 0.31

Hence 0.31 of the people surveyed were afraid of flying

A man has $456.99 in his bank account. The man then writes a check for $45.99. How much money is in his account now?

Answers

Answer:

$411.00

Step-by-step explanation:

456.99-45.99

0.75h + 3 = 12
What's the answer?

Answers

Answer:

h = 12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

0.75h + 3 = 12

Step 2: Solve for h

Subtract 3 on both sides:                    0.75h = 9Divide 0.75 on both sides:                  h = 12

Step 3: Check

Plug in h into the original equation to verify it's a solution.

Substitute in h:                    0.75(12) + 3 = 12Multiply:                               9 + 3 = 12Add:                                     12 = 12

Here we see that 12 does indeed equal 12.

∴ h = 12 is a solution of the equation.

Answer:

h = 12

Step-by-step explanation:

Given

0.75h + 3 = 12 ( subtract 3 from both sides )

0.75h = 9 ( isolate h by dividing both sides by 0.75 )

h = 12

So...I'm stuck on this. HELP

Answers

Answers:

Yes the data can be modeled with a linear equation.

Processing fee = 42 dollars; Daily fee = 102 dollars

Max number of days you can rent house = 11 days

========================================================

Explanation:

Part 1

Let

x = number of days

y = total cost in dollars

Note how each time x goes up by 2, y goes up by 204 (since 450-246 = 204). This consistent pattern directly tells us we have a linear equation going on. The next section goes into more detail.

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

Part 2

The daily fee is directly tied to the pattern mentioned earlier. We have the cost going up by $204 each time 2 days go by. So the daily fee is 204/2 = 102 dollars per day.

You could also use the slope formula with say the first two columns of the table

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

m = (450-246)/(4-2)

m = 204/2

m = 102

This confirms the daily fee is $102.

You can use any two columns of the table that you want to get the slope. It doesn't have to be the first two columns.

Now use (x,y) = (2,246) along with m = 102 to find the y intercept. Like before you can use any column you want to form the (x,y) value.

y = mx+b

246 = 102*2+b

246 = 204+b

246-204 = b

42 = b

b = 42

The equation is y = 102x+42. The initial processing fee is $42. If you stayed at the house for x = 0 days, you still have to pay the fee y = 42.

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

Part 3.

Plug in y = 1200 and solve for x

y = 102x+42

1200 = 102x+42

1200-42 = 102x

1158 = 102x

102x = 1158

x = 1158/102

x = 11.3529411764706

x = 11

We round down to the nearest whole number. This way we clear the hurdle.

Note that if x = 11, then,

y = 102x+42

y = 102*11+42

y = 1164

which is under the $1200 budget

In contrast, plugging in x = 12 leads to

y = 102x+42

y = 102*12+42

y = 1266

which is over the 1200 dollar budget. This shows that x = 11 is the max number of days you can rent the house.

Pocahontas opens a savings account with $640 dollars that earns 3.9% interest per year not compounded. How much money to the nearest penny will Pocahontas have in 8 years

Answers

Given:

Principal value = $640

Rate of interest = 3.9% not compounded

Number of years = 8

To find:

The amount after 8 years.

Solution:

It is given that the interest is not compounded. It means, we need to find simple interest.

Formula for simple interest:

[tex]I=P\times r\times t[/tex]

where, P is principal, r is rate of interest and t is time in years.

Put P=640, r=0.039 and t=8.

[tex]I=640\times 0.039\times 8[/tex]

[tex]I=199.68[/tex]

So, the interest is $199.68.

Now, amount after 8 years is

[tex]A=P+I[/tex]

where, P is principal and I is interest.

[tex]A=640+199.68[/tex]

[tex]A=839.68[/tex]

Therefore, the amount after 8 years is $839.68.

1) What would be another way to name plane M?
(picture attached)
A. plane KJH
B. plane J
C.plane HJG
D.plane GJN

Answers

Answer:

C. plane HJG

Step-by-step explanation:

hope this helped :-)

help please :)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))

Answers

Answer:

c

Step-by-step explanation:

you do 520 divided by two hours

Answer:

208

Step-by-step explanation:

Since it made 520 dives in 5 hours you divide 520/5 which is 104

For two hours you multiply 104*2 = 208

What is the equation of the line that passes through (-1, -7) and has a slope of 2?

Answers

Answer:

y=2x + 5 I think it should be

Clarissa has a budget of $1,200 a month to spend for rent and food. She has already spent $928 this month. Which inequality represents the amount she can still spend this month and remain within her budget?

Answers

Answer:

the answer is x ^ 272

Step-by-step explanation:

subtract

Answer:

its B

Step-by-step explanation:

I got 100 on the quiz

Please help me, This is the only question I don’t understand pleas help me I would really appreciate it thank you!

Answers

Answer:

C

Step-by-step explanation:

A proportional equation is in the form:

[tex]\displaystyle y=kx[/tex]

Where y is the dependent variable, x is the independent variable, and k is the constant of proportionality.

An important aspect of a proportional equation is that it passes through the origin. That is, it has no y-intercept (or a constant value).

From our choices, the only choices that don’t have y-intercepts are C and D.

However, D is not a linear function.

Therefore, our answer is C.

And our constant of proportionality is 1/2.

I need help pls!

A statue is 7 feet tall. How many inches tall is the statue? 1. foot = 12 inches
2
A. 62.5 inches
B.90 inches
C 75 inches
D.45 inches

Answers

Answer:

Step-by-step explanation:

7 feet   1 foot is 12 inches

7*12= 84 inches.

None of the choices are correct.

90 inches is 7.5 feet

62.5 inches is 5.2 feet

75 inches is 6.25 feet

Please help me with this question I will give brainliest.
When you are dealing with a problem like this how do you solve it to make sure that the exponent is positive?
14 to the -4 power times 14 to the 7 power. I know that we will keep the base because they are the same but do I add or subtract the exponents?

Answers

Answer:

All you need to remember is the rules

Step-by-step explanation:

Let us remember

a to the m power x a to the nth power is = a to the m+n power. (add the exponents)

And

a to the m power ÷ a to the nth power is = a to the m-n power. (subtract the exponents) So

14 to the -4 power x 14 to the 7 power= 14 to the -4+7 which is equal to 14 to the 3rd power

PLEASE HELP
Write equations of the horizontal and vertical lines that pass through the given
point.
12. (-3,-4)
Horizontal line:
Vertical line:

Answers

Answer:

horizontal line: y=-4

vertical line: x=-3

Step-by-step explanation:

This one is simple. all you need to do is look at the x and y in the ordered pair.

Horizontal goes left and right so it's for y

Vertical goes up and down so it's for x

let me know if you need more explaining :)

pls help with this one -4 divided by - 2/3

Answers

Answer:

6

Step-by-step explanation:

what you do is because you are dividing -4 by -2/3 you have to flip -2/3 to make it -3/2..

so ...

-4/ -2/3 = -4 x -3/2  ( so here you take -2/3 and flip it and multiply by -4)

now all you do is multiply

12/2 you get 6 ! HOPE this helped out alittle

hiii, this geometry please help

Answers

answer is 50!!!!!!!!!!!
B. 100



Explanation:


If you just look at it like a straight line then you know it equals 180° but since it’s cut into pieces we have to figure out the others first.

So on the triangle on the bottom it’s 50 and 50 so add those and subtract from 180 to find out what the third angle in the triangle is.
50+50=100
180-100= 80°
Now the angle to the right of the 60° is going to be 80 because they’re corresponding.
So, if the one side of the split line is 80 then the other must be 100°.

The line y−6=2(x+4) passes through which point?

A. (−4,−6)

B. (4,−6)

C. (−4,6)

D. (2,6)

show how u got it please lol

Answers

Answer:

4. (−4, 6), slope −2. eSolutions Manual - Powered by Cognero. Page 1. 4-2 Writing ... 4. (−4, 6), slope −2. SOLUTION: Find the y-intercept. Write the equation in ... Write an equation in slope-intercept form to find the total cost C for p people. b. ... b. Plot points and draw a line through them. c. Solve for G when t = 17.

Which statement best describes the graphed function?


A.
The function has a relative maximum at (-2,4) and a relative minimum at (2,-4).
B.
The function has a relative minimum at (-2,4) and a relative maximum at (2,-4).
C.
The function has an absolute maximum at (-2,4) and an absolute minimum at (2,-4).
D.
The function has an absolute minimum at (-2,4) and an absolute maximum at (2,-4).

Answers

Answer:

The function has a relative maximum at (-2,4) and a relative minimum at (2,-4).

Step-by-step explanation:

The graph's highest point is at (-2,4) which would be considered the relative maximum of the graph. The graph's lowest point is at (2,-4) which is the relative minimum. Therefore the relative maximum is at (-2,4) and the relative minimum is at (2,-4)

Answer:

The function has a relative maximum at (-2,4) and a relative minimum at (2,-4).

Step-by-step explanation:

Plato/Edmentum

What does R mean in this

Answers

Answer:

Step-by-step explanation:

its 0 i think

answer = it means the statement has infinite solutions, because the equations are the same, the two sides of the equation will always equal each other

Thirty-five cents is what fraction, in simplest form, of a dollar?

Answers

Answer:

.35/100

Step-by-step explanation:

35 cents over 1.00

Answer:

7/20 is the simplest form

Step-by-step explanation:

latisha has 7 boxes with 21 shells in each box. she has 6 bags with 17 shells in each bag. she uses 18 shells to make a design. which of these expressions can latisha use to find how many shells are left

Answers

Answer:

231

Step-by-step explanation:

7x21=147

6x17=102

147+102=249

249-18=231

Answer: Letter D 7x21+6x17-18

Bye yw!

Can someone please help me

Answers

Answer:

Step-by-step explanation:

difference of 10 and u = 10 - u

seven times the sum of twice a number m and 16 is 9 -

7 ( 2m + 16 ) = 9

5x + 6x -  sum of 5 times a number and 6 times a number

8 ( x - 7 ) = -35 - 8 times the difference of a number x and 7 is -35

Hope this helps

plz mark as brainliest!!!!!

Evaluate 7 – (-1). ​

Answers

Answer:

8

Step-by-step explanation:

7-(-1)

My teacher said if it looks like this: -(- make it a plus!

so basically 7+1=8

Drag the tiles to the correct locations. Each tile can be used more than once, but not all tiles will be used. One or more locations will
remain empty.
Nitrosyl fluoride has the chemical formula NOF. Nitrogen has five valence electrons, oxygen has six, and fluorine has seven. Complete the
Lewis structure for this covalent compound.

Answers

Answer:

.. .. ..

o = N - F :

.. ..

Under the N just leave empty

Step-by-step explanation:

The complete lewis structure for NOF covalent compound is rewritten as: O=N-F

What type of bond is in NOF (Nitrosyl fluoride)?

In a molecule of NOF, Oxygen is double bonded with Nitrogen. Nitrogen molecule of NOF is single bonded with flourine.

Rest of the valence electrons are not bonded.

Nitrogen's atomic number: 7, valence electron's count = 5Oxygen's atomic number: 8, valence electron's count = 6Florine's atomic number: 9, valence electron's count = 7

Thus, with the above said description we will get:

..         ..         ..  

O   =   N   -   F :

..                   ..

(double bond uses 2-2 electron of each atom).

Thus, the complete lewis structure for NOF covalent compound is rewritten as: O=N-F

Learn more about Lewis structure here:

https://brainly.com/question/4144781

The price of a television was reduced $250 to $200. By the percentage was the price of the television reduced?
A. 20%
B. 25%
C. 80%
D. 50%

please help I'm not good at math!!

Answers

Answer:

B. 25%

Step-by-step explanation:

The price decreased by 50, and that is 25% of 200.

Answer:

The answer is 20%

Step-by-step explanation:

I'm not amazing at percentages so this is what I did. Search up 20 percent of 250. Then it says 50. 250 minus 200 is 50, so the answer is 20%

I hope this helped and if it did I would appreciate it if you marked me brainliest.

thank you and have a nice day!

Nate bought a new pair of shoes that were on sale for 25% off. If the shoes were $5 originally, what is the sale price of the shoes?
its proportions btw

Answers

Answer:

The sale price would be $3.75

Step-by-step explanation:

5*25%=1.25

5-1.25=3.75

the sale price of the shoes would be $3.75 because 5÷4=1.25 and 5-1.25=3.75, unless you are including tax. hope you get a good grade!

What is the area of this triangle?
5cm
4cm
3cm


Answers

Answer:

3cm

Step-by-step explanation:

It because every triangle has three edges so that is why it 3cm

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