What is the perpendicular line slope of -2x-9y=4

Answers

Answer 1

The perpendicular slope of the original equation,[tex]-2x-9y=4[/tex], is the negative reciprocal (flip the numerator and denominator).

But first we need to put it in y=mx+b form...

[tex]-2x-9y=4[/tex] Equation

[tex]-9y=2x+4[/tex] Add 2x to both sides

[tex]y= -\frac{2}{9}x- \frac{4}{9} [/tex] Standard format

Since now we know that the slope is [tex]-\frac{2}{9} [/tex], the perpendicular slope is [tex] \frac{9}{2} [/tex]

Related Questions

How many pounds are in 3/4 of a ton?

Answers

1500 lbs is 3/4 of a ton

There are 1,500 pounds in 3/4 of a ton.

Given that we need to find that, there are how many pounds are in 3/4 of a ton.

To determine how many pounds are in 3/4 of a ton, follow these steps:

Understand the conversion factor.

One ton is equal to 2,000 pounds.

This conversion factor allows us to convert between tons and pounds.

Calculate 3/4 of a ton.

To find 3/4 of a ton, multiply the weight of a ton (2,000 pounds) by the fraction 3/4:

3/4 x 2,000 pounds = 1,500 pounds

Therefore, there are 1,500 pounds in 3/4 of a ton.

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solve 4x-(12÷3)+2x=20

Answers

x=4
4x-(12÷3)+2x=20
4x-(4)+2x=20
4x4-4+2x4=20
16-4+8=20
12+8=20

4x - ( 12 ÷ 3 ) + 2x = 20
4x - 4 + 2x = 20 Always begin with subtraction or multiplication first
4x + 2x - 4 = 20 Combine term
6x - 4 = 20 Add 4 for each side
6x = 24 Divide by 6 fro both side
x = 4

The combined weight of the people in an elevator is 49% of the 3,025-pound capacity.

Answers

3025 x 0.49 = 1482.25

The weight of the people is 1482.25

hope this helps

Final answer:

The subject of this question is Physics.

Explanation:

In this question, we are asked to determine the subject being referred to. Based on the information provided, the subject of this question is Physics.

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solve for R

3 r + 4
---------- = 5
2

r = ?

Answers

To find r, first write out the equation:
[tex] \frac{3r+4}{2} =5[/tex]
Next, multiply both sides by 2:
[tex] 3r+4=10[/tex]
Now, subtract both sides by 4:
[tex] 3r = 6[/tex]
Divide both sides by 3:
[tex]r=2[/tex]

The answer to this problem is r = 2. Hope this helps and have a phenomenal day!

Multiple 2 on both sides- 3r+4=10
Subtract 4 on both, left with 3r=6.
6 divide 3=2
R=2

Solve the equation for the indicated variable, u: y = 3/5u + 5

Answers

you would have to isolate the u variable:
y = 3/5u + 5
-5 -5
y-5=3/5u
__ ____
3/5 3/5

u= y-5
__
3/5

A theater has 500 seats. Three fourths of the seats are filled. How many seats are filled? Help pls

Answers

Simple buddy! 3/4 of 500 = 375

375, divide 500 by 4 (= 125) then multiply that by 3 to get 3/4 of 500

I don’t get this at alllllll

Answers

Hey there!

We have to multiply, the "a" becomes a "negative a" ; solve this fraction to understand this step

Like: (multiplication) -a = 1/8

Let's multiply by a negative one on each of your sides

a = -(1/8)
* 1. * 1
Solve this and that gives us our answer⬆️

We have "two solutions " in this problem, which 1/8 or -1/8

Answer: 1/8 or -1/8 (option A)

Good luck on your assignment and enjoy your day

~MeIsKaitlyn:)

If Jack gets a 10% commission on every dollar of sales. In one month he makes 2500. What were his sales in dollars that month?

Answers

Jack earned a total of $250 in sales for the month.

What is f(-3) if f(x)=|2x-1|-5

So far I have:
f(-3)=|2(-3)-1|-5
f(-3)=|-6-1|-5
f(-3)=|-7|-5

Answers

Good job!

I'll continue where you left off.

f(-3) = |-7| - 5

f(-3) = 7 - 5

f(-3) = 2

If you pick a card at random from a well shuffled deck, what is the probability that you get a spade or a king

Answers

The probability of getting a spade is 1/4, and the probability of getting a king is 1/13. Thus, the probability of getting a spade or a king is [tex]\frac{1}{4} + \frac{1}{13} = \boxed{\frac{17}{52}}[/tex].

Final answer:

The probability of drawing a spade or a king from a shuffled 52-card deck is calculated by adding the individual probabilities of drawing a spade and drawing a king, then subtracting the probability of drawing a king that is also a spade. The resulting probability is approximately 0.308, or 30.8%.

Explanation:

To answer the question of what is the probability of drawing a spade or a king from a well-shuffled 52-card deck, we need to identify the possible successful outcomes and divide them by the total number of outcomes. A standard deck consists of four suits: clubs, diamonds, hearts, and spades. Each suit consists of 13 cards, so there are 13 spades. Four of these are kings because there's one king in each suit.

First calculate the probability of drawing a spade:

P(spaes) = Number of spades / Total cards in deck = 13/52 = 1/4 = 0.25

Next calculate the probability of drawing a king:

P(king) = Number of kings / Total cards in deck = 4/52 = 1/13 ≈ 0.077

However, we have a slight overlap because a king could also be a spade. Hence, we subtract the probability of drawing a card which is both king and spade:

P(king and spade) = Number of king of spades / Total cards in deck = 1/52 ≈ 0.019

Thus, the probability of drawing a spade or a king is given by the equation:

P(spade or king) = P(spade) + P(king) - P(spade and king) = 0.25 + 0.077 - 0.019 = 0.308

So, the probability of drawing a spade or a king from a shuffled 52-card deck is approximately 0.308, or 30.8%.

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Write an expression that shows how to multiply 7 * 256 using expanded form and distributive property

Answers

The expression should look like this:

7 (200 + 50 + 6)= 1, 792

This uses distributed property and expanded form. Giving you have to distribute the 7 and it gives the expanded form of 256.

I hope this helps:) I know this is correct.

Which ordered pairs in the form (x, y) are solutions to the equation

7x−5y=28 ?

Select each correct answer.

(7, 9)
(−1, −7)
(4, 10)
(−6, −14)

Answers

Okay. So to solve this problem, we have to try out each of the values to see what we get. x is the number up front and y is the number that is second in line. Let's try out the first. 7 * 7 is 49 and 5 * 9 is 45. 49 - 45 is 4. 4 < 28. Therefore, A is out. 7 * -1 is -7 and 5 * -7 is -35. -7 - (-35) is 28. 28 = 28. Score! But wait. 7 * 4 is 28 and 5 * 10 us 50. 28 - 50 is -22. C is out. 7 * -6 is -42 and 5 * -14 is -70. -42 - (-70) is also 28. 28 = 28. You have two answers. They are B and D.

the answers are (-1,-7) and (-6,-14) HOPE IT HELPS.

PLEASE HELP I WILL GIVE 99 POINTS
Which correctly shows how to use the GCF and the distributive property to find an expression equivalent to 24 + 44?
4(6 + 11)
2(12 + 22)
6(4 + 11)
2(12 + 6)

Answers

I would say it is 4(6+11). Hope this helped!

24+44=72
2(12+22)=2x12+2x22=24+44=72

Convert the first number to scientific notation, then add, show all work add~ 18,000,000+3.4x10 to the 7th power

Answers

34000001.8 is the answer to this problem!
1.8000000+34000000!

PLZ HELP A LOT OF POINTS

Answers

A) Yes, 6 * .75 = 4.5kilowatts if greater than 89 percent then it is worth the money
B)yes, refer to A
C)yes, refer to A
D)no, refer to A

Answer:

A) Yes, 6 * .75 = 4.5kilowatts if greater than 89 percent then it is worth the money

B)yes, refer to A

C)yes, refer to A

D)no, refer to A

yes i copied so sry i ned the points

Eight cakes cost £4.00. How much do three cakes cost?

Answers

4.00 /8 = 0.50 each

3 *0.50 = 1.50 for 3

a car can be assembled on an assembly line in 6 hours. assume that the cars are assembled at a constant rate.how many cars, y, can be assembled in t hours?

Answers

if t is the total time in hours, 1 car takes 6hrs to assemble, and the number of cars assembled in t hours is y, then
y=t/6(remove any decimal if there )
All the best

You were overcharged $4.52 on your cable bill 3 months in a row. The cable company says that it will add - $4.52 to your next bill for each month you were overcharged. On the next bill, you see an adjustment of - $13.28. Is this amount correct?

PLEASE HELP AND SHOW WORK

Answers

No bc already 3×4.52 =13.56 so no

I need help on this. Can someone please explain it to me? I’ve been struggling on it ! Thanks much appreciated

Answers

Hey there! :) How are you? Explanation: So basically the cook has 3 1/2 cups of flour which is 7/2 as a improper fraction. The recipe calls for 3 2/3 cups of flour which is 11/3. So next we need to find a common denominator. 2 and 3 both have 6 in common, so7/2=21/6 and 11/3=22/6. The final step is 22/6-21/6= 1/6.

Answer: The cook DOES NOT have enough flour. He needs 1/6 cup of flour.

I hoped I helped you. Keep smiling! :D

The annual interest rate of Jacques' savings account is 3.6%, and simple interest is calculated monthly. What is the periodic interest rate of Jacques' account?

A. 0.6%
B. 0.9%
C. 0.3% <----- Apex Answer
D. 1.8%

Answers

divide by 12 equals 0.3

Answer:0.03 is the answer

Step-by-step explanation:(Apex)

Three ways to come up with 15,638 only using hundreds, tens and ones

Answers

1.) 156 * 100 + 38 = 15638

2.) 312 * 50 + 38 = 15638

3.) 78 * 200 + 38 = 15638

A line goes through the points (8,9) and (-2,4).
A) what is the slope of he line? Show your work
B) write the equation of the line in point- slope form. Show your work.
C) write the equation of the line in slope-intercept form. Show your work.
A,B,C are all parts of the question that have to be answered.

Answers

you're answer should be (B) hopes it helps.

Part A:

Slope of line is given by vertical distance ÷ horizontal distance

Let (8, 9) be (x₁, y₂) and (-2, 4) be (x₂, y₂)
The vertical distance is y₂ - y₁ = 4 - 9 = -5
The horizontal distance is x₂ - x₁ = -2 - 8 = -10

slope of the line = -5 ÷ -10 = 0.5
---------------------------------------------------------------------------------------------------------------

Part B

The point-slope form is given by
(y - y₁) = m (x - x₁)

We have the gradient, m = 0.5
(x₁, y₁) = (8, 9) ⇒ You can also use the other coordinate (-2, 4)
Substitute these value into the form, we have

(y - 9) = 0.5 (x - 8)
----------------------------------------------------------------------------------------------------------------

Part C

The slope-intercept form is given by the equation
y = mx + c

Where m is the slope gradient and c is the point where the line intercepts the y-axis. We don't have the value of c at the moment but we can find out by simplifying the equation in part B

y - 9 = 0.5 (x - 8) ⇒ Multiplying out the bracket
y - 9 = 0.5x - 4
y = 0.5x - 4 + 9
y = 0.5x + 5 ⇒ This the slope-intercept form

Help I don’t understand number 18 I wrote the equation but I need help solving it the equation is 13 n - 1.50= 35.50

Answers

Hi there!

It appears you've written the equation wrong.

It should be: 13 + 1.5n ≤ 35.5

(13 - 13) + 1.5n ≤ (35.5 - 13)

1.5n ≤ 22.5

1.5n / 1.5 ≤ 22.5 / 1.5

n ≤ 15 rides

The most amount of rides you can take is 15.

Hope this helps.

3x - 4y =7 solve for y

This is a literal equation in which you need to isolate the variable 'y'

Answers

3x - 4y = 7...subtract 3x from both sides
-4y = -3x + 7...divide both sides by -4
y = 3/4x - 7/4 <==

The solution of the given equation 3x - 4y = 7 for the value of y in terms of variable x is given by y = (3x - 7) / 4.

To solve for 'y' in the equation 3x - 4y = 7, we need to isolate 'y' on one side of the equation. Here's how you can do it step by step:

Move the term containing 'y' to the other side of the equation by adding 4y to both sides:

3x - 4y + 4y = 7 + 4y

Simplify the equation:

3x = 7 + 4y

Now, we want to isolate 'y' on one side. Start by moving the constant term (7) to the other side by subtracting 7 from both sides:

3x - 7 = 7 + 4y - 7

Simplify the equation:

3x - 7 = 4y

Finally, to get 'y' alone, divide both sides by 4:

(3x - 7) / 4 = y

Therefore, the solution for 'y' in terms of variable 'x' is y = (3x - 7) / 4.

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how do you simplify -7 -|7|

Answers

The answer is: " - 49 " .
_____________________________
The problem: "What is "-7" multiplied by "the absolute value of (7)"?

Note: The absolute values of (7) = 7 ; that is the absolute values of (positive 7) is: "(positive 7)" .
__________________________
So, we are left with: What is: "-7 " multiplied by "+ 7" ;
{i.e. , " (-7)*(7) = ? " } ;
_________________________
The answer is: " -49 " .
_________________________

-7-7=
The answer is 49

Solve the equation and find the value of the variable

Answers

The sum of the angles should be 180, so x+ (x+10) + (x+5) = 180. This simplifies to 3x + 15 = 180, so 3x = 165, so x=55.

Can someone please help me out with this question, I will appreciate it

Answers

a experiment because he has a question to test and he can use observations and everything like that to test a question

It's an observational study. Hope this helps :D

Which graph represents the solution set of the system of inequalities?

Answers

the answer to this is D

All that you have to do is graph the linear equations. So, the answer is D.

help with this solution

Answers

literally y is across from 112, so y=112

Mr.Richards' class is holding a canned food drive for charity. Juliet collected 10 more cans than Rosana. Santiago collected twice as many cans as juliet. If they collected 130 cans altogether, how many cans did juliet collect?

Answers

she obtained 30 cans

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