Which equation is perpendicular

Which Equation Is Perpendicular

Answers

Answer 1

Answer:

option A

Step-by-step explanation:

   [tex]y - 9 = \frac{2}{3} (x + 7)\\\\ y - 9= \frac{2}{3} x + \frac{14}{3}\\\\ y = \frac{2}{3} x + \frac{14}{3} + 9\\\\y = \frac{2}{3}x + \frac{14 +27}{3}\\\\y = \frac{2}{3}x + \frac{41}{3}\\\\[/tex]

Therefore, slope of the given line is

                                                    [tex]m_ 1 = \ \frac{2}{3}[/tex]

Find the slope of the new line

The product of slope of  lines perpendicular to each other = - 1

That is ,

            [tex]m_ 1 \times m_2 = - 1\\\\\frac{2}{3} \times m_ 2 = - 1\\\\m_ 2 = - \frac{3}{2}[/tex]

Find the equation of the line.

[tex]Let \the \ given \ points \ be \ ( x_ 2 , y _ 2 ) = ( 2 , 3 ) \\\\(y- y_2) = m_2 (x - x_ 2)\\\\( y - 3 ) = - \frac{3}{2}(x - 2)\\\\y = -\frac{3}{2}x + \frac{3 \times 2}{2} + 3\\\\y = - \frac{3}{2} x +3+3\\\\y = - \frac{3}{2} x +6\\\\[/tex]


Related Questions

Area of base=
A)8 square units
B)6 square units
C)12 square units

Answers

Answer:

its 8

Step-by-step explanation:

4 times 2 is 8 and you cant get 6 or 12

Answer:

A

Step-by-step explanation:

Area of base = length x width = 4 * 2 = 8 square units

you & three friends go to the twin carnival. you have a coupon for $20 off that will save your group money! if the total bill to get into the carnival was 100$ how much does one regular price ticket cost?

Answers

Answer:

$30

Step-by-step explanation:

100+ the twenty you got off is 120 and dvide 120/4=30   I am either making this way to easy or just dont understand lol

Find two integers whose sum is -10 and product is 16
TWO INTERGES PLEASE

Answers

Answer:

-2 and -8

Step-by-step explanation:

-2 + (-8) = -10

-2 * -8 = 16

Harriet and Maya share £300 in the ratio of 7:5. Wirk out how much money harriet gets

Answers

Answer:

$175

Step-by-step explanation:

you need to specify if harriet got the 7 portion or the 5 portion. I'll answer as if she got the 7 portion.

They split it into 12 portions because the ratio is 7:5 and 7+5=12. So do $300/12=25

Assuming Maya got the 5 portion, do $25 x 5 = $125, so Maya got $125.

Assuming Harriet got the 7 portion, do $25 x 7 = $175, so Harriet got $175.

What is the equation of the parabola with focus (1/3, 2/3) and directrix y = 1/2pls help ill give points

Answers

Answer:

D. y = 3·x² - 2·x + 11/12

Step-by-step explanation:

The coordinates of the focus of the parabola, f = (1/3, 2/3)

The directrix of the parabola, y = 1/2

The standard form of the equation of a parabola is (x - h)² = 4·p·(y - k)

The coordinates focus = (h, k + p)

The y-coordinates of the directrix, y = k - p

By comparison, we have;

h = 1/3...(1)

k + p = 2/3...(2)

k - p = 1/2...(3)

Adding equation (3) to equation (2) gives;

k + p + (k - p) = k + k + p - p = 2·k = 2/3 + 1/2 = 7/6

k = (7/6)/2 = 7/12

k = 7/12

From equation (2), we get;

p = 2/3 - k

∴ p = 2/3 - 7/12 = 1/12

p = 1/12

The equation of the parabola is therefore;

(x - 1/3)² = 4·(1/12)·(y - 7/12) = y/3 - 7/36

y = 3 × ((x - 1/3)² + 7/36) = 3 × ((x² - 2·x/3 + 1/9) + 7/36) = 3·x² - 2·x + 11/12

y = 3·x² - 2·x + 11/12.

What the midpoint ?

Answers

The midpoint formula:

[tex] \large \boxed{( \frac{x_2 + x_1}{2} , \frac{y_2 + y_1}{2} )}[/tex]

From the graph, the point starts from (-3,2) and ends at (4,-1).

Substitute these points in the formula.

[tex] \large{( \frac{ - 3 + 4}{2} , \frac{2 - 1}{2}) = ( \frac{1}{2} , \frac{1}{2} )}[/tex]

Hence the midpoint is (1/2,1/2)

Answer

(1/2,1/2) is the midpoint.

Find the value of x in the given
right triangle.
12
x = [?]

X
62°
Enter your answer as a decimal rounded to the
nearest tenth.

Answers

Answer:

You divide 62/12=5.166

Parrel lines and angles how do I do this one

Answers

Answer:

Step-by-step explanation:

if two lines are parallel and a transversal cuts it,then corresponding angles are equal.

?=130°(corresponding angles)

can you help answer these:

1) (-3 ) * ( + 3 ) = ___

2) ( - 3) * ( - 3)= ______

3) ( + 20 ) ( + 5) = ____

4) ( + 21 ) ( - 3 ) )= ___

5) (-2) * (+3) * (- 4) = ___

Answers

Answer:

1) -3 x 3=-9

2) -3x-3=9

3)20x5=100

4) 21x-3=-63

5) -2x3x-4=24

note: negative x positive= negative

negative x negative=positive

positive x positive= positive

Step-by-step explanation:

hope this is helpful

Step-by-step explanation:

(-3)*(1+3) = -9 (-3)*(-3) = 9(+20)(+5) =100(+21)(-3) = -63(-2)*(+3)*(-4) = 24

Please help!! Thank you if you do!!

Answers

I think it is BD but I’m not 100% sure

Solve
7x - 3x - 8 = 24

Answers

Answer:

x = 8

Step-by-step explanation:

Factor:

7x - 3x = 4x

24 + 8 = 32

32 ÷ 4 = 8

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

Double check:

56 - 24 - 8 = 24

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

Have a great summer :)

Answer:

x = 33 / 4

Given :-

7x - 3x -9 = 24

We have to find

The value of x .

Step-by-step explanation:

Let's begin:-

7x - 3x -9 = 24

Step 1 :- Combine like terms.

4x - 9 = 24.

Step 2 :- Move constant to the right-hand and change their sign.

4x = 24 + 9.

Step 3 :- Add 24 and 9.

4x = 33

Step 4 :- Divide both side by 4.

4x / 4 = 33 / 4

Hence, x = 33 / 4

CAN SOMEONE HELP ME WITH THIS PLEASE AND THANK YOU.

Answers

Answer:

six and one over twelve

Step-by-step explanation:

1/4 + 5 5/6=1/4+35/6 = 6 1/12

step 1: 5×6+5 6 step 2: 30+5 6

step 3 35

6

step 4 answer = 35

6

Find the volume of this sphere.
Use 3 for TT.


Answers

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Very sry to tell that I really don't know it...

Translate this phrase into an algebraic expression.
Three more than the product of 10 and a number
Use the variable n to represent the unknown number.

Answers

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ᵗᵒᶠᵘ ˡᵒᵍᵍᶦⁿᵍ ᵒⁿ…

⊹˚ʚ ❑Answer︰3+(10n)

      ✎Daily reminder: make sure to eat food and stay hydrated, have a good day :D

ᵗᵒᶠᵘ ˡᵒᵍᵍⁱⁿᵍ ᵒᶠᶠ...

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A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 97m long and 66m wide. What is the length of a training track running around the field? (Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.)

Answers

Answer:

401.24m

Step-by-step explanation:

the length is,

97x2 + 66x3.14

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Answers

Answer:

The car price decreased by $2,268.

The price of the car now is $33,732.

Step-by-step explanation:

Multiply 0.063 (6.3% in decimal form) by $36,000 to get $2,268, which is how much the price decreased.

Then subtract 2,268 from 36,000 to get $33,73, which is the price of the car after the decrease.

Answer:

Step-by-step explanation:

6.3 : 100 = x : 36000

x = (36000 * 6.3)/100 = $2268 (decrease in price)

Price of new model: 36000 - 2268 = $33732

Find the slope of the line that passes through (2 2) and (-1 -2)

Answers

Answer:

4/3

Step-by-step explanation:

The formula is (y1-y2) /(x1-x2)

Answer:

slope = [tex]\frac{4}{3}[/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 ) = (2, 2) and (x₂, y₂ ) = (- 1, - 2)

m = [tex]\frac{-2-2}{-1-2}[/tex] = [tex]\frac{-4}{-3}[/tex] = [tex]\frac{4}{3}[/tex]

help please asap!!!Working too please not just the answers​

Answers

Answer:

62

Step-by-step explanation:

12+12+3+3+7+10+15

you just add all the sides

nyatakan nilai digit 3 dalam asas sepuluh, bagi nombor 22314 asas 5

Answers

Answer:

75

Step-by-step explanation:

22314 asas 5 => digit 3 dalam asas 10 menjadi :(3×5²) = 3×25 = 75

The weights of dogs in a dog show is normally distributed with a mean of 58 pounds and a standard deviation of 15 pounds. What is the probability that the weight of the dogs are between 35.5 and 65.5 pounds?​

Answers

Given:

The weights of dogs in a dog show is normally distributed.

Mean = 58 pounds

Standard deviation = 15

To find:

The probability that the weight of the dogs are between 35.5 and 65.5 pounds.

Solution:

We know that,

[tex]z=\dfrac{x-\mu}{\sigma}[/tex]

Where, [tex]\mu[/tex] is mean and [tex]\sigma [/tex] is the standard deviation.

We need to find the value of [tex]P(35.5<x<65.5)[/tex].

[tex]P(35.5<x<65.5)=P\left(\dfrac{35.5-58}{15}<\dfrac{x-58}{15}<\dfrac{65.5-58}{15}\right)[/tex]

[tex]P(35.5<x<65.5)=P\left(-1.5<z<0.5\right)[/tex]

[tex]P(35.5<x<65.5)=P\left(z<0.5\right)-P\left(z<-1.5\right)[/tex]

Level of significance is 95%.

[tex]P(35.5<x<65.5)=0.69146-0.066807[/tex]

[tex]P(35.5<x<65.5)=0.624653[/tex]

[tex]P(35.5<x<65.5)\approx 0.6247[/tex]

Therefore, the probability that the weight of the dogs are between 35.5 and 65.5 pounds is about 0.6247.

Ignacio and Kirsten want to find out if the triangle formed by connecting (-1,-1). (-3,2), and (2, 1) is a right triangle Ignacio's plan: . Use the distance formula to find the lengths of the sides. • Then see if the side lengths satisfy the equation a2 + b2 = c2 to see if it is a right triangle Kirsten's plan: • Find the slopes of the three sides. • See if any two slopes are negative reciprocals of each other Which student's plan will work?​

Answers

Answer:

Both plans are correct

Step-by-step explanation:

I already did it

Need Help ASAP! Timed Assignment!
Mike and his friends bought cheese wafers for $2 per packet and chocolate wafers for $1 per packet at a carnival. They spent a total of $25 to buy a total of 20 packets of wafers of the two varieties.

Part A: Write a system of equations that can be solved to find the number of packets of cheese wafers and the number of packets of chocolate wafers that Mike and his friends bought at the carnival. Define the variables used in the equations. (5 points)

Part B: How many packets of chocolate wafers and cheese wafers did they buy? Explain how you got the answer and why you selected a particular method to get the answer. (5 points)

Answers

Answer:

Part A)

Our system of equation is:

[tex]\displaystyle \begin{aligned} 2x+y&=25\\x+y&=20\end{aligned}[/tex]

Where x represent the amount of cheese wafers bought and y represent the amount of chocolate wafers bought.

Part B)

Mike and his friends bought five cheese wafers and 15 chocolate wafers.

Step-by-step explanation:

Let cheese wafers be represented by x and let chocolate wafers be represented by y.

Part A)

They spent a total of $25. Since each cheese wafer cost $2 and each chocolate wafer cost $1, we can write that:

[tex]2x+1y=25[/tex]

Or, simply:

[tex]2x+y=25[/tex]

They also purchased a total of 20 packets of wafers. Hence:

[tex]x+y=20[/tex]

Our system of equation is:

[tex]\displaystyle \begin{aligned} 2x+y&=25\\x+y&=20\end{aligned}[/tex]

Where x represent the amount of cheese wafers bought and y represent the amount of chocolate wafers bought.

Part B)

Since both equations have the same coefficient for y, we can use elimination. First, multiply the second equation by negative one:

[tex]-x-y=-20[/tex]

Add it to the first equation:

[tex](2x+y)+(-x-y)=(25)+(-20)[/tex]

Simplify:

[tex]x=5[/tex]

So, five cheese wafers were bought.

Using the second equation again, we can see that:

[tex](5)+y=20\Rightarrow y=15[/tex]

So, 15 chocolate wafers were bought.

Notes:

If we wanted to solve this using substitution, we can subtract x (or y, doesn't really matter) from both sides from either equation. Using the second equation, this yields:

[tex]y=20-x[/tex]

Substitute this into the first:

[tex]2x+(20-x)=25[/tex]

Simplify:

[tex]x=5[/tex]

And we will acquire the same answer:

[tex]y=20-(5)=15[/tex]

choose the correct range for the quadratic function?

Answers

The range just means the y-output of the function, ie the y values.

You can see that the function curves up to y=2 and then curves back down, but doesn't go above y = 2.

So the second option is the correct one, because the y-values of the function go from infinity up to y=2, but not above y=2 hence the ≤ sign.

using appropriate properties find the value of 3/5×(-3)/10+1/15-3/5×1/5​ please help me out​

Answers

3/5×(-3)/10 + 1/15 - 3/5×1/5 =  -7/30 ≅  -0.2333333

I hope this helps!

Determine whether each of the following problems
will have a rational or an irrational answer. Your
answer should be either the word "rational or
"irrational."
18 + 1

Answers

Answer:

irrational

Step-by-step explanation:

pi itself is irrational, so adding something to it makes no difference

Answer: Irrational

Step-by-step explanation:  The sum of two rational numbers is  

✔ always  rational.

The sum of a rational number and an irrational number is  

✔ never  rational.

The product of a rational number and an irrational number is  

✔ always  irrational.

The product of two rational numbers is  

✔ never  irrational.

Determine whether each of the following problems will have a rational or an irrational answer. Your answer should be either the word “rational” or “irrational.”

18+pi = irrational

A repeating decimal + A fraction   =rational

3/13 x sqrt 52 =irrational

Recipe ingredients remain in a constant ratio no matter how many servings are prepared. Which table shows a possible
ratio table for ingredients X and Y for the given number of servings?

Answers

Answer:

Table N 4

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=ky/x=k or y=kxy=kx

Verify the table 4

For x=1, y=2

so

y/x=2/1=2

For x=2, y=4

so

y/x=4/2=2

For x=3, y=6

so

y/x=6/3=2

therefore

The constant of proportionality k is equal to 2 and the equation is equal to

y=2x

The table 4 represent a direct variation, therefore is a possible ratio table for ingredients X and Y

Write an equation for the following parabola. A. (x+5)^2+5 B. (x-3)^2+4 C. (x-5)^2+4 D. (x+3)^2+5 Please select the best answer from the choices provided

Answers

Answer:B

Step-by-step explanation:

A(3;4) in the parabola.

The answer B: y=(x-3)^2 +4.

y=yA=4; x=xA= 3

=> 4=(3-3)^2+4 (right)

What is the least common denominator of the rational expressions below?
12
x2 - 11x +30
43
x² - 6x
A. x(x-5)
B. x(x-5)(x-6)
C. x(x - 5)(x-6)
D. (X-6)

Answers

Answer:

D. (x-6)

Step-by-step explanation: Just did it

The root for an equation x²-px+6=0 ls 3. Find the value of p
Jawapan / Anne
IP​

Answers

Answer:

5

Step-by-step explanation:

Given that 3 is a root of the equation x²-px+6=0

To find the value of p, substitute 3 into the equation for x

Hence x²-px+6=0

becomes

3^2 - 3p + 6 = 0

9 -3p + 6 = 0

collect like terms

-3p = -9 - 6

-3p = -15

Divide both sides by -3

p = -15/-3

p = 5


2x + z = 46
3z= 18
2y + z= 40

Answers

Answer:

x=20, y=17, and z=6 or (20,17,6)

Step-by-step explanation:

Hi there!

We're given the system of equations:

2x+z=46

3z=18

2y+z=40

and we need to solve for x, y, and z

first, let's find the value of z, as we have z by itself (no other variables) in 3z=18

divide both sides by z

z=6

the value of z is found :)

now we can use z=6 to find the value of the other variables; for example, plug z as 6 into 2x+z=46 to solve for x

2x+6=46

subtract 6 from both sides

2x=40

divide by 2

x=20

Finally, let's find y

once again, we can substitute z as 6 in the equation 2y+z=40 to find y

2y+6=40

subtract 6 from both sides

2y=34

divide by 2

y=17

so the answer is: x=20, y=17, and z=6; if you need it in a point it's (20,17,6)

Hope this helps! :)

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