What is the original slope and what is the perpendicular slope?

What Is The Original Slope And What Is The Perpendicular Slope?

Answers

Answer 1

Answer:

green line:

rise= -6

run= 3

rise/run = slope

therofore the slope = -6/3 = -2

blue line:

rise=3

run=6

rise/run = slope

therofore the slope = 3/6 = 1/2

Answer 2

Answer:

- 2 and [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 5) and (x₂, y₂ ) = (0, - 1) ← 2 points on the green line

m = [tex]\frac{-1-5}{0+3}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2

Repeat with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (6, 0) ← 2 points on the blue line

m = [tex]\frac{0+3}{6-0}[/tex] = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]

Since the product of the slopes = - 2 × [tex]\frac{1}{2}[/tex] = - 1

Then the lines are perpendicular


Related Questions

-6=v-19w solve for v

Answers

Subtract 3 from both sides of the equation.

v = −9 − 3

Subtract 3 from −9

v = -12

the sum of three and number x is 20.

Answers

Answer:

x=17

Step-by-step explanation:

Si al triple del cuadrado de un número se le suma siete veces el mismo número se obtiene por resultado 10. ¿Cuál es ese número?

Answers

Answer:

The value of the number is either 1 or -10/3

Step-by-step explanation:

If the same number is added to triple the square of a number seven times, the result is 10. What is that number?

Let the number = x

Therefore, we have;

3·x² + 7·x = 10

Therefore, we have;

3·x² + 7·x - 10 = 0

Dividing by 3 gives;

x² + 7/3·x - 10/3 = 0

Factorizing gives;

(x - 1)·(x + 10/3) = 0

x = 1 or -10/3

The number is either 1 or -10/3.

A rectangle has a height that is 5 inches less than the base. If the area of the rectangle is 57 inches square, what are the height and base of the rectangle?

Answers

Answer:

The height and base of the rectangle are approximately 5.453 inches and 10.453 inches, respectively.

Step-by-step explanation:

From Geometry we remember that area of a rectangle ([tex]A[/tex]), measured in square inches, is equal to:

[tex]A = w \cdot h[/tex] (Eq. 1)

Where:

[tex]w[/tex] - Width, measured in inches.

[tex]h[/tex] - Height, measured in inches.

In addition, we get the following relationship from statement:

[tex]w = h+5\,in[/tex] (Eq. 2)

If we know that [tex]A = 57\,in^{2}[/tex], then the height of the rectangle is:

[tex]57\,in^{2} = (h+5\,in)\cdot h[/tex]

[tex]h^{2}+5\cdot h -57 = 0[/tex]

From Quadratic Formula we obtain the following roots:

[tex]h_{1} \approx 5.453\,in[/tex] and [tex]h_{2}\approx -10.453\,in[/tex]

Only the first root offers a reasonable solution, as length has always positive values. Thus, the height of the rectangle is approximately 5.453 inches.

Now we calculate the width of the rectangle from (Eq. 1):

[tex]w = \frac{A}{h}[/tex]

If we know that [tex]A = 57\,in^{2}[/tex] and [tex]h \approx 5.453 \,in[/tex], then the width of the rectangle is:

[tex]w = \frac{57\,in^{2}}{5.453\,in}[/tex]

[tex]w \approx 10.453\,in[/tex]

The height and base of the rectangle are approximately 5.453 inches and 10.453 inches, respectively.

Which of the following describes the roots of the polynomial function f (x) = (x minus 3) Superscript 4 Baseline (x + 6) squared?

Answers

Answer:

3 with multiplicity 4 and –6 with multiplicity 2

Step-by-step explanation:

Set equal to zero and solve for

x

. The multiplicity of a root is the number of times the root appears.

x=3(Multiplicity of 4)

x=−6(Multiplicity of 2)

Answer:D

Step-by-step explanation: I think this is the answer on edge

The height, h, in feet of the tip of the minute hand of a wall clock as a function of time, t, in minutes can be modeled by the equation h = 0.75 cosine (StartFraction pi Over 30 EndFraction (t minus 15)) + 8. Which number (from 1 to 12) is the minute hand pointing to at t = 0?

Answers

Answer:

C. 9

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

dam im just so dumb and need help on everything!!!!!!!

Answers

Answer:

I think it is the last answer, [tex]\sqrt{2}[/tex] and 1.23459876567

Answer:

Last one

Step-by-step explanation:

For something to be 'irrational', you shouldn't be able to put it in a fraction. You can know if something is irrational because when you look at it in decimal form and the numbers after the decimal point are random and do not follow a pattern (ie 276276276...).

Hence that is why pi is irrational as well because the numbers after the dec. point are: 3.1415626.... there is no visible pattern

a²+3a²ta
Could someone answer for me please?
Thanks

Answers

Answer:

a^2x(1+3at)

Step-by-step explanation:

ASAP ASAP ASAP
help me please

Answers

Answer:

The answer is b

Step-by-step explanation:

Answer:

B; 22.75 square meters

Step-by-step explanation:

I got it correct. Trust me.

Michelle kayaked 3.22 miles on monday. She kayaked three more miles on tuesday than wendsday. She traveled one mile less on wendesday than she did on tuesday. How many miles did she kayak over the three days?

Answers

Answer:

11.66

Step-by-step explanation:

--3.6 - 1.9t + 1.2 + 5.1t please help me solve it

Answers

Answer:

the correct answer is 8. hope this helps

Answer:

3.2t -2.4

Step-by-step explanation:

-3.6 - 1.9t + 1.2 + 5.1t

(add like terms)

3.2t - 2.4

I need help solving it and I need a step by step explanation.

Answers

Answer:

y = 125*

Step-by-step explanation:

so the area of a triangle adds up to 180*

180 - 55 = 125

correct me if i am wrong also do u have any answer choices?

I’ll mark brainliest!

Please help

Answers

Answer:

-6

Step-by-step explanation:

because the last number in the slope intercept form equation is always the y intercept

Answer:

y-intercept = -6

Step-by-step explanation:

[tex]y = -4x -6[/tex]

Let x equal 0

[tex]y= -4(0) -6\\\\y =0-6\\\\y = -6[/tex]

Show that the function f(x) = x^3 + 5/x. is even, odd, or neither

Answers

Answer:

it is odd

Step-by-step explanation:

What does the solution of a linear inequality represent?

Answers

A system of linear equations in two variables of at least two linear inequalities in the same variable. The solution of a linear inequality is the ordered pair that is a solution to all inqualities in the system . Hope that helped

9 divided by 7
Show working plz

Answers

Answer:

1

2 Remainder

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 7 on the left side and the dividend 9 on the right side like this:

             

   7 ⟌ 9    

Step 2:

The divisor (7) goes into the first digit of the dividend (9), 1 time(s). Therefore, put 1 on top:

       1    

   7 ⟌ 9    

Step 3:

Multiply the divisor by the result in the previous step (7 x 1 = 7) and write that answer below the dividend.

       1    

   7 ⟌ 9    

       7    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (9 - 7 = 2) and write the answer below.

       1    

   7 ⟌ 9    

     - 7    

       2    

You are done.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 9 divided by 7 calculated using Long Division is:

1

2 Remainder

What is the value of this expression -4.2(0.35-3.5)
Enter your answer in the box as a decimal

Answers

Answer:

13.23

Step-by-step explanation:

Answer: When we use the order of operations to solve this expression we get the Answer 13.23 Hope this helps

Step-by-step explanation:

Marshall bought 20 refills and sold Them at $4 each. If it had cost $ 50 for the refills, what his profit or loss percentage​

Answers

His profit was 30$ bc 20*4=80 then subtract 80-50 then it gives you 30

Answer:

cost = 50

sold price = 20 × 4 = 80

he have profit

percent =

the profit percent is 62.5

HOPE ITS HELPFUL

AND MARK AS BRAINIEST

Step-by-step explanation:

A truck can be rented from Company A for ​$130 a day plus ​$0.30 per mile. Company B charges ​$40 a day plus ​$0.60 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.

Answers

Answer: 300 miles

Step-by-step explanation:

Let x= Number of miles driven by both cars.

As per given,

For Company A

Charges = $130 a day plus ​$0.30 per mile.

i.e. Total charge = 130+0.30x

For Company B

Charges =​$40 a day plus ​$0.60 per mile

i.e. Total charge =40+0.60x

When the rental cost for both company is same,

40+0.60x=130+0.30x

⇒ 0.60x-0.30x= 130-40

⇒ 0.30x= 90

⇒ x= 90÷0.30

⇒ x=  300

hence,  the number of miles in a day at which the rental costs for Company A and Company B are the same = 300

Two angles are supplementary. If one angle measures 46 degrees, how many degrees are in the other angle? *

Answers

Answer:

134

Step-by-step explanation:

180-46=134

Please help! Will give brainliest if correct!

Answers

Answer:

190.47 (190 47/100)

Step-by-step explanation:

First, you need to find a common denominator, which is 100. So multiply 3/10 by 10 with both the numerator and denominator. So your new equation should be 382 30/100 - 191 87/100. Even though 382 is larger than 191, 3/100 is still less than 87/100. So what you do is cross out the first/whole number and then add the denominator.

Hope this helped! <3

Answer:

190.43

Step-by-step explanation:

Convert the denominator to 100

> 382 30/100 - 191 87/100

Subtract the whole numbers and the fractions separately

> (382 -191) + (30/100 - 87/100)

> 191 + (-57/100)

> 190 43/100

= 190.43

You spin the spinner shown below once. Each sector shown has an equal area. What is P(beaver ) P(beaver)start text, P, left parenthesis, b, e, a, v, e, r, end text, right parenthesis? If necessary, round your answer to 2 22 decimal places.

Answers

Answer:

0.8

Step-by-step explanation:

If you look at the wheel it has a total of 5 sections and 4 of the sections are beaver.

Therefore, 4/5 = 80% or 0.8

Answer:

it was 1/3

Step-by-step explanation:

i know because i got it right on khan academy adn sorry if im am late

Mary sells lemonade, and she sells 10 cents from ever cup she sells to charity. The cups of lemonade are 45 cents. One day she made $17.10. How much money did she to charity that day.

Answers

Answer:

$3.80

Step-by-step explanation:

Given that:

One cup of lemonade is sold at 45 cents.

Total money made = $17.10

Number of cups of lemonade sold can be found by dividing the total money made with the sale price of one cup of lemonade.

Number of cups of lemonade sold = [tex]\frac{\$18.10}{45\ cents} = \frac{\$18.10}{\$0.45} =38[/tex]

For each cup sold, 10 cents are donated.

Total money donated = 38 [tex]\times[/tex] 10 = 380 cents = $3.80

Therefore, the answer is:

Total money donated by Mary is $3.80

y=x^2-8 is linear or nonlinear​

Answers

Answer:

Nonlinear.

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

We notice that if the line is linear, x will NOT go over a degree of 1.

x² is a quadratic function, and its slope is not proportional like a linear line.

GIVING BRAINLIST PLEASE HELP

In the figure at the right, if PQ is perpendicular to QR,
then a + b + c + d =?
P
A) 180°
B) 225°
C) 270°
D) 360°

Answers

Answer:

a + d = 90

c + b = 180

==> C) 270

Find the product.
(9a^2 +8b) (a^2 - b)

Answers

Answer:

9a4−a2b−8b2

Step-by-step explanation:

=(9a2+8b)(a2+−b)

=(9a2)(a2)+(9a2)(−b)+(8b)(a2)+(8b)(−b)

=9a4−9a2b+8a2b−8b2

HahahahaJQJWIIEWHHAajajaiqi jqjaksjsbw jajajaha hahahahaha ajuwudydrb hwyeidbrbe. Kookie

I NEED THE ANSWER PLEASE​

Answers

Answer:

Not a function because some x values have multiple y values

Step-by-step explanation:

The meaning of a function is that an x value can only have on y value. If we were to pass a vertical line through this graph, we would find that about 2 points would be hit every time. This tells us that the x values have multiple y values and it's not a function.

A mosquito beating its wings

produces sound waves with

a frequency of 700 Hz and a

wavelength of 0.5 m.

frequency: f=700 Hz

wavelength: X= 0.5 m

a. Find: wave speed: s

s=f

b. Substitute:

s = 700 x 0.5 = 350

c. Determine the units:

units of s = (units of f) x

(units of X)

(Hz) x (m)

= (1/s) x (m) = m/s

11. Use a Simple

Equation How fast are the

sound waves of the beating

mosquito wings traveling?

Answers

Answer:

v = 350 m/s

Step-by-step explanation:

Given that,

Frequency of sound waves of a mosquito beating, f = 700 Hz

Wavelength, [tex]\lambda=0.5\ m[/tex]

The speed of a wave is given by the formula as follows :

[tex]v=f\lambda\\\\v=700\ Hz\times 0.5\ m\\\\v=350\ m/s[/tex]

So, the sound waves of the beating mosquito wings traveling at speed of 350 m/s.

please helppppp me i need answers really fast I'm so confused!! i'll give brainliest to the correct answer

Find the values of x and y.
A. x = 129, y = 51
B. x = 51, y = 129
C. x = 66, y = 17
D. x = 17, y = 66

Answers

Answer:

C

Step-by-step explanation:

129=2x-3

132=2x

x=66

129+3y=180

180-129=3y

51=3y

y=17

At the same time a 12-foot pole casts an 18-foot shadow, a nearby tree casts a 30-foot shadow. How tall is the tree in feet?

Answers

Answer: 20 Feet

Step-by-step explanation:

Answer:

45ft

Step-by-step explanation:

This is just a ratio.

12:18

30:?

30/12=2.5

so do, 18*2.5=45

so, the tree is 45 ft

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