Cydney is proving that perpendicular lines have slopes that are opposite reciprocals. She draws line p and labels two points on the line as (0, a) and (b, 0). Enter the answers, in simplest form, in the boxes to complete the proof. The slope of line p is . Rotate line p 90° counterclockwise about the origin to get line q. The labeled points on line p map to (−a, 0) and ( , ) on line q. The slope of line q is . The slopes of the lines are opposite reciprocals because the product of the slopes is .

Answers

Answer 1

Answer:

Slope of p  =    -a/b

 

(0, b)  is on line  q

 

Slope of q  =  ( b - 0) / (0 - -a)  =   b/a

 

Product of the slopes  =  (-a/b) (b/a)  =  (-ab) /(ab)  =  -1

I hope this helps (: Have a whimsical day! lol


Related Questions

factorise the following:
[tex]{3x}^{2} + 5x - 12[/tex]

Answers

Answer:

(x + 3)(3x - 4)

Step-by-step explanation:

Given

3x² + 5x - 12

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 12 = - 36 and sum = + 5

The factors are + 9 and - 4

Use these factors to split the x- term

3x² + 9x - 4x - 12 ( factor first/second and third/fourth terms )

= 3x(x + 3) - 4(x + 3) ← factor out (x + 3) from each term

= (x + 3)(3x - 4)

Thus

3x² + 5x - 12 = (x + 3)(3x - 4) ← in factored form







it’s algebra can u helpppp lolsss

Answers

6z- 6
Just do the distributive property
I know it’s confusing at first but don’t worry! I’m sure you’ll do great!
Hope this helps!

Answer:

6z - 6

Step-by-step explanation:

When you expand you are removing brackets. This means you multiply the outer number by the ones inside thus:

2(3z-3)

2 times 3z is 6z .

2 times 3 is 6.

So the answer is 6z - 6.

HOPE THIS HELPED

Skylar has a smart phone data plan that costs $50 per month that includes 7 GB of data, but will charge an extra $30 per GB over the included amount. How much would Skylar have to pay in a month where she used 5 GB over the limit? How much would Skylar have to pay in a month where she used went over by

Answers

i have concluded the answer is a
it would be 200 if she used 5 over the limit. 30 x 5 = 150 150+50=200

guys please help/ no answers from google!
it's for tomorrow

Answers

Answer:

Length --> x

Width --> y

Perimeter of a rectangle --> 2x + 2y

The length is always 4 cm more than double the width

x - 4 = 2y

y = (x-4)/2

x = 2y + 4

a. The polynomial equation to give the perimeter --> 2(2y+4) + 2((x-4)/2)

b. x - 4 = 2·6 --> x - 4 = 12 --> x = 16

  Perimeter --> 2·16 + 2·6 = 44 cm

Please answer will give brainliest if correct.

Answers

Answer:

x intercept (2,0)

y intercept (0,-4)

Answer:

x intercept (2,0)

y intercept (0,-4)

Step-by-step explanation:

give me brainliest

Answer two questions about Equations AAA and BBB: \begin{aligned} A.&&\dfrac x4+1&=-3 \\\\ B.&&x+4&=-12 \end{aligned} A. B. ​ ​ 4 x ​ +1 x+4 ​ =−3 =−12 ​ 1) How can we get Equation BBB from Equation AAA? Choose 1 answer: Choose 1 answer: (Choice A) A Rewrite one side (or both) using the distributive property (Choice B) B Rewrite one side (or both) by combining like terms (Choice C) C Multiply/divide only one side by a non-zero constant (Choice D) D Multiply/divide both sides by the same non-zero constant 2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution? Choose 1 answer: Choose 1 answer: (Choice A) A Yes (Choice B) B No

Answers

The given equations are as follows

[tex]\begin{aligned} A.&&\dfrac x4+1&=-3 \\\\ B.&&x+4&=-12 \end{aligned}[/tex]

(1) First, multiply both sides of equation A by 4, we have

[tex]4\times\left(\frac{x}{4} +1\right)=4\times(-3)[/tex]

Then, rewrite the left-hand side of the above equation by using the distributive property, we have

[tex]4\times\frac{x}{4}+4\times1=4(-3)[/tex]

[tex]\Rightarrow x+4=-12[/tex]

This is the required equation B.

In this way, first use choice D: Multiply both sides by the same non-zero constant, i.e 4.

Then, apply choice A to solve the equation, i.e using the distributive property to solve the left-hand side of the equation.

(2) In the previous answer, equation B has been derived from equation A, hence, both the equations are equivalent.

As both the equations are the same, so both will have the same solution.

Yes, they have the same solution.

solve for b and simplify -17=-3/2b

Answers

Answer:

b = 34/3

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

-17 = -3/2b

Step 2: Solve for b

Rewrite:                                       -3/2b = -17Divide both sides by -3/2:          b = 34/3

Step 3: Check

Plug in b to verify it's a solution.

Substitute:                    -17 = -3/2(34/3)Multiply:                        -17 = -17

Rob can lift less than 135 pounds at the weight room. There is already 48 pounds of weights on the bar. Write an inequality that shows the additional weight that Rob can add, w, without being over his maximum.

Answers

Answer:

[tex]x + 46 < 135[/tex]

Step-by-step explanation:

Given

[tex]Initial\ Weight = 48lb[/tex]

He can lift less than 135 implies that, his maximum is:

[tex]Total < 135[/tex]

Required

Determine the additional weight

Let the additional weight be x

Such that

[tex]Total = x + Initial\ Weight[/tex]

[tex]Total = x + 46[/tex]

Substitute x + 46 for Total in [tex]Total < 135[/tex]

[tex]x + 46 < 135[/tex]

Hence, the inequality that describes the scenario is: [tex]x + 46 < 135[/tex]

What is the value of k?

Answers

Answer:

k =5

Step-by-step explanation:

triangle =180

180-115=65

65-10-5=50

50/ (4+6)= 5

what is proportional to 35/80​

Answers

Answer:

nhi pta... pdhai dhang se kiya kro

Plz help, im struggling >:|

Write using algebra.
Jimmy ran m miles in t minutes. What was his speed?

Answers

Answer:

150

Step-by-step explanation:

r150 naka cdi lang HAHAHAHAHAHA

Answer:

Lets say S is speed

S= m/ t

m/t would give us his speed in miles per minute.


For f(x) = -5x +9, find f'(15)

Answers

f(x) =-5x+9
f(x) =-5(15)+9
f(x) =- 75+9
f(x)=-66
your answer is -66 :)

Please answer ASAAP! ILL GIVE BRAINLIEST

Answers

Answer:

If you use 30 instead of 15, that means that  your sum will double

Step-by-step explanation: 30 is double 15

PLS HELP I GET EXTRA CREDIT AND EXPLAIN IN FULL DETAIL!!!!!


You have $18 to buy peppers. Peppers cost $1.50 each. Write and solve an inequality that represents the numbers of peppers you can buy.

Answers

the inequality would be 18>1.5x

this basically means $18 is greater than or equal to 1.5x, where x is the number of peppers you buy at $1.50 for each pepper. So you can buy any amount of peppers from 0 to 12. If you want to make the inequality better it would be 18>1.5x>0 because you can't buy less than 0 peppers

А ____________ is a comparison of two quantities by division.

A. Unit Rate
B. Rate
C. Ratio​

Answers

Answer:

Rate

Step-by-step explanation:

When you have two quantities and place one over the other, i.e. miles/hour, you get a rate, such as a rate of change .

PLZ HELP NOW!! In a group of 75 fourth graders, 21% do not like Skittles. How many students like Skittles? AND PLEASE SHOW WORK LOL

Answers

Answer:

[see below]

Step-by-step explanation:

In a group of 75 fourth graders, 21% do not like Skittles.

This means that 79% of people do like Skittles.

75 * .79 = 59.25 ≈ 59

59 students should like skittles.

Hope this helps.

find the slope of the line if it exists
a. the slope is ___
b. the slope is undefined

Answers

Answer:

The slope is -4/3.

Step-by-step explanation:

Slope = rise/run. Starting at (3, -1), you go up 4 units and over to the left 3 units to (0,3). Since it's a line of decay, the slope is negative.

Answer:

the slope should be -4/3

Step-by-step explanation:

you go down 4 and to the right 3 so I am pretty sure it is -4/3

find the circumcenter

Answers

Answer: (0, -2)

Step-by-step explanation:

URGENT HELP! VIEW PICTURE​

Answers

Answer:

it 2

Step-by-step explanation:

Answer:
I think it’s 3(n/5)

Explanation:

A polygon has 6 sides . The interior angles measures are 118°,127°,111°,123°,126°.and x° find the values of x .

Answers

Let’s use a hexagon as the shape, Add all those up plus x =720. 720 is the sum of all interior angles of a polygon

The value of 'x' is 115 degrees and this can be determined by using the sum of interior angles property of hexagon.

Given :

A polygon has 6 sides. The interior angles measures are 118°, 127°, 111°, 123°, 126°, and x°.

The following steps can be used in order to determine the value of x which is an interior angle of a hexagon:

Step 1 - According to the given data, the given polygon has 6 sides means that it is a hexagon with interior angles 118°, 127°, 111°, 123°, 126°, and x°.

Step 2 - The sum of interior angles of a hexagon is 720 degrees.

Step 3 - So, the values of 'x' can be calculated by using the below expression:

118 + 127 + 111 + 123 + 126 + x = 720

Step 4 - Simplify the above expression.

605 + x = 720

x = 720 - 605

x = 115 degrees

For more information, refer to the link given below:

https://brainly.com/question/4083236

2. Find the value of x.
17x - 3
17X-13-ax+3
9x + 13

Answers

Answer: X=3.25

Explanation:
17(3.25)-13=42.25
9(3.25)+13=42.25

Can you give me brainliest? Thank you if you do. Have a good day!

Based on the HL congruence rule, the value of x, is calculated as:

x = 2.

How to Find the Value of x in the Triangle Using the HL congruence theorem?

Both triangles that share the same side and have corresponding angle 90 degrees and a pair of corresponding congruent hypotenuse are congruent  to each other based on the HL congruence theorem.

This means that:

17x - 3 = 9x + 13

Solve for the value of x:

17x - 9x = 3 + 13

8x = 16

Divide both sides by 8:

8x/8 = 16/8

x = 2

The value of x is: 2.

Learn more about HL congruence theorem on:

https://brainly.com/question/29615095

#SPJ6

Painter A charges $70 to start a job and $80 per hour he/she is there. Painter B charges $100 per hour. Write an inequality that would determine how many hours would the job take for Painter A to be less expensive and solve.

Answers

Let the number of hours be x.

70 + 80x < 100x

20x > 70

x > 3.5

Please help will brainlist

Answers

Answer:

4 is C for sure!

Step-by-step explanation:

At the grocery store, a big bag of candy costs $13.50 for a 5
pound bag. How much does it cost per pound?

Answers

Answer:

$2.70 Per Pound

Step-by-step explanation:

$13.50:5=$2,7 so it costs $2,7 per pound

Find y, at and tu I need help please help

Answers

Answer:

there is no picture... but i will try my best to help you if you post picture in another question

i can’t see the picture, i wish i could help :(

Write the absolute value equation given the transformations
shifts right 5 units
shifts up 2 units
is reflected
is stretched by 0.5

Answers

Answer:

y = - 0.5 | x - 5 | + 2

Step-by-step explanation:

g(x) = |x|

[tex]1^{st}[/tex] step - shifts right 5 units: g(x + 5) = | x - 5 |

[tex]2^{nd}[/tex] step - shifts up 2 units: g(x + 5) + 2 = | x - 5 | + 2

[tex]3^{rd}[/tex] step - reflected: - g(x + 5) + 2 = - | x - 5 | + 2

[tex]4^{th}[/tex] step - stretched by 0.5: y = - 0.5 | x - 5 | + 2

y = - 0.5 | x - 5 | + 2

Subtract 5x^2+8x-11 from 3x^2+8x-7

Answers

Answer: -2x^2+4

Explanation: First you’d need to rewrite the equation as (3x^2+8x-7)-(5x^2+8x-11). Then since you are subtracting, distribute the negative to the right side which will then give you -5x^2-8x+11 since you flip the signs. Then simply combined like terms. -5x^2 + 3x^2 is -2x^2. Then 8x-8x is 0 and lastly, +11-7 is 4. So in order, all together, your answer is -2x^2+4.

CHOOSE THE CORRECT CORRESPONDENCE.

TS <>

A. Side RU
B. Side TU
C. Side RT

Answers

Answer:

i believe its B side Tu

Step-by-step explanation:

I believe it’s C, but please correct me if I’m wrong!

Jessica added the two distances in the table to get a sum
of 26.95 miles.
Jessica's Running Journal
Week 1
11.9 miles
Week 2
15.05 miles
Explain the steps you use to determine if Jessica's
answer is reasonable.
LOTS OF POINTS HELP ASAP

Answers

Yes her answer is reasonable 11.9 + 15.05 = 26.95

Answer:

Round to the nearest whole number and then add the numbers. The estimate should be close in value to the actual sum.

Step-by-step explanation:

What is the constant of variation, k, for the table?

Answers

k = -2/3

Explanation:
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