Line s has an equation of y=1/3-X-5. Line t is perpendicular to line s and passes through (-2, 9). What is the equation of line t?
Write the equation in slope-intercept form. Write the numbers in
the equation as simplified proper fractions, improper fractions, or
integers.

Answers

Answer 1

Answer:

y = 3x + 15

Step-by-step explanation:

1. Find the reciprocal of the slope and change signs: -3

2. y = 3x + b

3. Plug in x and y --> b = 15

4. Make your equation using y = mx + b: y = 3x + 15

Answer 2

The equation of the perpendicular line 't' will be equal to y = -3x + 3.

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that line, s has an equation of y=1/3-X-5. Line t is perpendicular to line 's' and passes through (-2, 9).

The equation of the line will be calculated as,

For the perpendicular line, the slope is reciprocal with a negative sign,

m = -3

The equation of the line will be written as,

y = mx + c

y = -3x + c

9 = ( -3 x - 2) +c

c = 9 - 6

c = 3

The equation is,

y = mx + c

y = -3x + 3

Therefore, the equation of the perpendicular line 't' will be equal to y = -3x + 3.

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Related Questions

Bobby spent $12 at the football game Friday night. He spent $2 on nachos, $5 on drinks, $3 on popcorn, and $2 on candy. What percentage of Bobby's expenses do the nachos and candy represent?

Answers

Answer:

33.3%

Step-by-step explanation:

$2 on nachos and $2 on candy will get you $4 spent on them both.

You then have a fraction (4/12)which is 1/3.

1/3=33.3%

The answer is 20%

Explanation: he spent 4$ on nachos and candy, over a total of 24. The fraction turns into 1/5 which as a percentage is 20%

Factor the expression 25x² - 36.
O A. (5x²-6)(5x² + 6)
B. (5x-6)²
O C. The expression is already fully factored.
OD. (5x-6)(5x + 6)

Answers

The answer is D (5x-6)(5x + 6)

Subtract.

3x−5x−4−x2+12x−17x2−16

Answers

Step-by-step explanation:

3x - 5x - 4 - x^2 + 12x - 17x^2 - 16

= -2x - 20 - 18x^2 + 12x

= 10x - 20 - 18x^2

Hope it helpz~ uh..

Which weights are within 2 standard deviations of the mean? select three options. 8.4 lbs 8.9 lbs 9.5 lbs 10.4 lbs 10.9 lbs

Answers

The weights are within 2 standard deviations of the mean are 8.9 lbs, 9.5 lbs and 10.4 lbs

How to determine the weights?

The given parameters are:

Mean, μ = 9.5Standard deviation, σ = 0.5

The weights within 2 standard deviation is represented as:

μ - 2σ ≤ x ≤ μ + 2σ

Substitute known values

9.5 - 2(0.5) ≤ x ≤ 9.5 + 2(0.5)

Evaluate the product

9.5 - 1 ≤ x ≤ 9.5 + 1

Evaluate the sum

8.5 ≤ x ≤ 10.5

This means that the weights are between 8.5 and 10.5 (inclusive)

Hence, the weights are within 2 standard deviations of the mean are 8.9 lbs, 9.5 lbs and 10.4 lbs

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Answer:

B C D

Step-by-step explanation:

I got it right on the quiz. :)

Pls help will give brainlist

What symbol goes between the fractions in the comparison?


3
6
?
1
4

=

<

>

Answers

If you are saying 3/6 vs 1/4, then it will be

3/6>1/4

Answer:

>

Step-by-step explanation:

3/6 and 1/4

3/6 = 1/2

1/2 = 2/4

2/4 > 1/4

look how he has proved that

infinity is equal to 0

how please help me please please please please​

Answers

Answer:

false

Step-by-step explanation:

as a guy who studied calculus, a lot of things were done that are just mathematically incorrect. for instance,

infinity - infinity is not 0.

0÷0 is undefined. so you cant just equate it to ( 2 × infinity)

to sum up this proof is entirely false.

if you still have any doubts make sure to ask.

Answer:

Refer to the attachment .

_______

Hope it helps ⚜

One number is 1 less than three times another number. if the product of the two numbers is 102, find the number

Answers

Answer:

25.25

Step-by-step explanation:

3y-1 (y) = 102

4y-1 = 102

4y = 101

y = 25.25

Point A is located at (-2, -3). After it is transformed, point A' is located at (-2, 3).
How was the point transformed?

It was reflected in the y-axis

it was rotated 180°

it was rotated 90 around the origin

it was reflected in the x-axis

Answers

Answer:

D.

Step-by-step explanation:

All the other answers are wrong.

The points are reflected across the x-axis.

Here is why:

Point A is at (-2, -3)Point A' is located at (-2, 3)If you move across the x-axis in this form, you will see that they are reflected.

Correct choice is D.

valerie cut a ribbon into four pieces three of the pieces are 6 inches long the other piece is 3 inches long how long was the ribbon before valerie cut it

Answers

6x3+3=21 there are 3 pieces of 6 inch ribbon which gives us the 6x3 and 1 piece of the 3 inch ribbon which makes us add 3

I need to know the of the blue line

Answers

Step-by-step explanation:

if i pick (3,4) and (6,10)

the formula for gradient is difference in y divided by difference in x . therefore

10-4 divided by 6 - 3 equals to 6 divided by 3 = 2

the gradient is 2

A right triangle has one leg that is 12 units long and a hypotenuse that is 15 units long. Find the length of the other leg.

Answers

Answer:

9

Step-by-step explanation:

let's assume ;

12=a

15=c

?=b

so;

a2+b2=c2

(12)2+b2=(15)2

144+b2=225

b2=225-144

b2=81 (square root both sides)

You'll get

b=9

NB; 2 is used as squared

Answer:

ITS 9

Step-by-step explanation:

Trust me i just finished the quiz (credit to dude on top)

Several students in Ashton's class were randomly selected and asked how many text messages they sent yesterday. Their answers were 2, 0, 7, 8, 5, 8, 4, 0, 3, 6. How many students were asked? How do you know? Complete the explanation.

Answers

The total number of students that asked questions can be determined by counting the total answers. The total number of students that were asked is 10

What are sample size?

The sample size is defined as the total number of respondents present in a sample.

If several students in Ashton's class were randomly selected and asked how many text messages they sent yesterday and their answers are 2, 0, 7, 8, 5, 8, 4, 0, 3, 6

The total number of students that asked questions can be determined by counting the total answers.

From the data given, the total number of students that were asked is 10

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What is the vertex of g(x) = –3x2 18x 2? (3, –25) (–3, –25) (3, 29) (–3, 29)

Answers

Answer:

f(x) = -(x + 8)(x -14)

= -(x2 - 112 - 6x)

= -x2 + 6x + 112 --- (1)

We know the graph of an equation y = ax2 + bx + c where a ≠ 0 is a parabola. The parabola opens upwards if a > 0 and opens downwards if a < 0. The vertex of the parabola is the point where the axis and parabola intersect. Its x coordinate x = -b/2a and its y coordinate is found out by substituting x = -b/2a in the parabola equation.

The parabola given in the problem statement has a negative coefficient of x2 and hence it is a parabola which opens downwards. Also for the equation

a = -1, b = 6 and c = 112. Therefor the x-coordinate of the vertex is

x = -b/2a

= -(6)/[2(-1)]

= 3

Substituting the value of x = 3 in equation (1) we get,

Now y = -(3)2 + 6(3) + 112

= -9 + 18 + 112 = 121

So the vertex point coordinates are (3, 121) and the y value is 121.

The graph below verifies the vertex point.

vertex of the graph

What is the y-value of the vertex of the function f(x) = -(x + 8)(x - 14)?

Summary:

The y-value of the vertex of the function f(x) = -(x + 8)(x - 14) is 121.

percent.
7) A new social media site is increasing its
user base by a constant percentage per
month. If the user base grows from
29,130 users to 52,167 users over 10
months, at what monthly rate is the user base increasing?

Answers

Answer:

5. % increase in user base per month (g) = 10% Users at t0 (P) = 10000

Step-by-step explanation:

A circle has a diameter of a little more than 1/2 mile. If you walk at 2 mph how long will it take to walk around the circle

Answers

Answer:

6mph

Step-by-step explanation:

What is the solution of the system? Solve using matrices. 25 points

x+2y=9
x+y=1

Answers

Answer:

x = -7 and y=8

Step-by-step explanation:

solnusing by elimination method 1|x+2y=9 1| x+y=1 |x+2y=9 -|x+y=1 x-x+2y-y=9-1 0+y=8 y=8

1|x+2y=9 2|x+y=1

|x+2y=9 -|2x+2y=2

x-2x+2y+2y=9-2

-x=7divide -1 both side with the make value of xx=-7therefore x=-7 and y=8. this is my answer

Which of the following is most likely the next step in the series?
:
⠀⠀⠀
OA.
OB.
O C.
OD.

Answers

the correct answer for this is C

The most likely next step in the series is 5 rows with 4 dots in each row and 4 columns.

Option C is the correct answer.

What is a series of patterns?

A series of patterns is a sequence of recurring designs or motifs that follow a particular order or progression.

Patterns can be found in many different fields, such as mathematics, science, art, and literature.

We have,

From the series of patterns,

We see that,

In the first pattern, there are 3 rows with 2 dots in each row and 2 columns.

In the second pattern, there are 4 rows with 3 dots in each row and 3 columns.

This means,

In the third pattern, there must be 5 rows with 4 dots in each row and 4 columns.

Thus,

The most likely next step in the series is 5 rows with 4 dots in each row and 4 columns.

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how many groups of 7 does it take to make 7 tens

Answers

Answer:


It takes 10 groups of 7 to make 7 tens

Step-by-step explanation:

I’m smart

Please help with this question.

Answers

Answer:

I think A is the best answer

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Answer:

A. Perpendicular Bisector Theorem :)

If a point is the perpendicular bisector of a segment, it splits the segment equally in half, meaning that the endpoints are equidistant from the bisector!

(-41) + (-40) = ?
I don't understand this question ⁉️ I tried to solve it but I don't know how to check my own work.

Answers

Answer:

[tex]( - 41) + ( - 40) \\ - 41 - 40 \\ 81[/tex]

Step-by-step explanation:

I hope I helped you! :)

Please help me! I need to figure it out

Answers

[tex]Q_3-Q_1=Q_i[/tex]Answer:

The answer is 10. Frank has done more than Marquis by10.

Step-by-step explanation:

From the internet, the interquartile is Q_3-Q_1=Q_inter

From Marquis his Q_3 = 40 and Q_1 = 20

[tex]Q_3-Q_1=Q_i[/tex]

40-20=20

From Frank his Q_3 = 40 and Q_1 = 10

[tex]Q_3-Q_1=Q_i[/tex]

40-10=30


Frank's interquartile is 30 and Marquis interquartile is 20.

Differences between the both of them.

30-20=10

What is the volume of the prism?
Enter your answer in the box as a mixed number in simplest
form.
1/1/2 1/1/2 2ft

Answers

Answer:

[tex]\text{the volume of the prism =} \ 4\frac{1}{2} \ ft^3[/tex]

Step-by-step explanation:

Formula _____________________

the volume of a prism = base × height

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

[tex]\text{base\ =} \ 2\times 1\frac{1}{2} =2\times \left( 1+\frac{1}{2} \right) =2\times \left( \frac{3}{2} \right) =3[/tex]

[tex]\text{the volume of the prism =} \ 3\times \left( 1\frac{1}{2} \right) =3\times \left( \frac{3}{2} \right) =\frac{9}{2} =4\frac{1}{2}[/tex]

I need help!! Rectangle WXYZ will be transformed so that W' is located at (-3, -1) and Z' is located at (2, -1). Which algebraic representation shows the transformation that occurred?

Answers

Transforming the rectangle WXYZ involves changing the location of the rectangle

The algebraic representation of the transformation is (x, y) → (x, -y)

How to determine the algebraic representation?

From the complete question, we have the coordinates of points W and Z to be:

W = (-3,1)

Z = (2,1)

And the new points are:

W = (-3,-1)

Z = (2,-1)

Notice that the x-coordinates remain the same, while the y-coordinates are negated.

This is represented as:

(x, y) → (x, -y)

Hence, the algebraic representation of the transformation is (x, y) → (x, -y)

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Your Grandmas vanilla ice cream recipe uses 3 cups of heavy cream and 1 cup of milk.

Answers

Answer:

nice

Step-by-step explanation:

very cool - crispin

Please help, I need this quickly. It's an easy trigonometric question.

Answers

[tex]\bold{ANSWER:}[/tex]
OPTION D: None of these

[tex]\bold{EXPLANATIONS:}[/tex]

Answer:c x=13

Step-by-step explanation:

straight line =180

180-50=130

7x+3x=10x

130/10=13

So the answer is x=13

If 3 cups of sugar are used to make 12 cupcakes, how many cups of sugar are used to make 30 cupcakes

Answers

Answer:

7.5 cups of sugar

Step-by-step explanation:

3 cups /12 cupcakes    *   30 cupcakes = 7.5 cups

For a typical human height of 2 meter what is the horizon distance on earth (r=6378) (b mars R=3,340

Answers

The horizon's distance for a typical human being (2 m height) for earth is 5 km, for mars it is 3.7 km, for moon its 2.6 km, and for Diemos it is 0.15 km (all calculations approx).

What is Pythagoras Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

The complete question is:

" For a typical human height of 2 meters, what is the horizon distance on A) Earth (R=6378 km); B) Mars ( 3,374 km); C) The Moon ( 1,738 km); Mars' moon Diemos ( 6 km) "

Radius touching the line which passes touching the circle (tangent) is perpendicular(to 90°) to it.

Consider the diagram attached below:

The distance D is the distance of horizon from the eyesight of viewer.

The value of h is the height of the observer.

For the triangle ABC, the length of the hypotenuse is: h + R

Other two sides which are mutually perpendicular are of length R and D.

Thus, by using Pythagoras theorem, we get:

[tex]R^2 + D^2 = (h+R)^2\\D = \sqrt{h^2 + R^2 + 2hR -R^2}\\\\D = \sqrt{h^2 + 2hR}\\[/tex]

(positive root as D is representing length, a non-negative quantity).

We're given h = 2, so we get:

[tex]D = \sqrt{4+4R} = 2\sqrt{1+R} \: \rm m[/tex]

A) Earth (R=6378 km);

6378 km = 6378000 m

[tex]D = 2\sqrt{6379001} \approx 5051 \: \rm m \approx 5 \: km[/tex]

B) Mars ( 3,374 km);

3374 km = 3374000 m

[tex]D = 2\sqrt{3374001} \approx 3674 \: \rm m \approx 3.7 \: km[/tex]

C) The Moon ( 1,738 km);

1738 km = 1738000 m

[tex]D = 2\sqrt{1738001} \approx 2637 \: \rm m \approx 2.6 \: km[/tex]

D)Mars' moon Diemos ( 6 km)

6 km = 6000 m

[tex]D = 2\sqrt{6001} = 154.93 \: \rm m \approx 0.15 \: km[/tex]

Thus, the horizon's distance for a typical human being (2 m height) for earth is 5 km, for mars it is 3.7 km, for moon its 2.6 km, and for Diemos it is 0.15 km (all calculations approx).

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8 cm 11 cm 14 cm volume​

Answers

Answer:

410.7 cm^3

Step-by-step explanation:

volume = (l*w*h)/3

volume = (14*8*11)/3

volume = 410.667

Which of the following equations is the translation 2 units up of the graph of y= 1x1

1.y=1x-21

2.y=1x+21

3.y=1x1-2

4.y=1x1+2

Answers

Answer:

4. y = |x| + 2

Step-by-step explanation:

"g(x) = |x| + k" means that f(x) will be translated however many units up or down depending on k. If k is positive, the graph will translate up. If k is negative, the graph will translate down. Because we need to translate up, the value of k needs to be positive. The best answer choice is choice 4, y = |x| + 2.

We can eliminate choices 1 and 2 because the way the equations are set up are for the horizontal translations.

g(x) = |x - h| are for horizontal translations.

g(x) = |x| + k are for vertical translations.

The third choice is wrong as well because k is negative, not positive.

hope this helps!

Answer:

4. y = |x| + 2

Step-by-step explanation:

Please help!! Will mark brainlyest.

Answers

Answer:

C. the X coordinates will increase by 2.

Step-by-step explanation:

Here are the examples:

If a X coordinate moves 2 spaces to the left, then it will decrease.If a X coordinate moves 2 spaces to the right, then it will increase.

In this case, a X coordinate will increase by 2.

Correct choice is C.

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