Line q passes through points (6,8 )and( 3,4). Line r is perpendicular to q . What is the slope of line r

Answers

Answer 1

Answer:

The slope of line r is -3/4

Step-by-step explanation:

First, let's find the slope of line q. We can find the slope by finding the change in y over change in x.

[tex]\displaystyle{m=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

Therefore, substitute in:

[tex]\displaystyle{m=\dfrac{8-4}{6-3}}\\\\\displaystyle{m=\dfrac{4}{3}}[/tex]

Therefore, the slope of line q is 4/3. Since we want to find the slope of line r and we know by the given that line r is perpendicular to line q. By the definition of perpendicular line is [tex]\displaystyle{m_1m_2=-1}[/tex].

Let [tex]m_1[/tex] be slope of the line q which is 4/3. Therefore, substitute in and solve for [tex]m_2[/tex] (slope of line r)

[tex]\displaystyle{\dfrac{4}{3}m_2=-1}\\\\\displaystyle{4m_2=-3}\\\\\displaystyle{m_2=-\dfrac{3}{4}}[/tex]

Therefore, the slope of line r is -3/4


Related Questions

whats this shape called?​

Answers

Answer:

a rhombus

Step-by-step explanation:

HELP ASAP , im stuck on what one which of the following points represents the complex number 6-3xi ?

Answers

The correct answer is DB

Answer:

awser is D. I did the text

please help I found this one a bit confusing ​

Answers

Answer:

C

Step-by-step explanation:

If you look closely.. You can see that one is longer than the other

Find the vertex of the function if x=1

options:
(1,24)
(1,30)
(1,32)
(1,41)

Answers

Answer:

         (1, 41)

Step-by-step explanation:

h = 1

k = p(h) = 4·1² + 24·1 + 13 = 4 + 24 + 13 = 41

If p(x) = b² - 16b +32 and q(x) = -32b-32 what values of x does p(x)=q(x)?

Answers

The functions are p(x) = b² - 16b +32 and q(x) = -32b-32 the x value when the functions are equivalent to each other is 8.

Given that,

The functions are p(x) = b² - 16b +32 and q(x) = -32b-32

We have to find the x value when the functions are equivalent to each other.

We know that,

Take the functions

p(x) = b² - 16b +32 and q(x) = -32b-32

When the function are equivalent

p(x) = q(x)

b² - 16b +32 = -32b-32

b² - 16b +32 +32b+32=0

b² + 16b +64 = 0

Now find the factors for 64

64 =  8×8

b² + 8b + 8b +64 = 0

Taking common terms

b(b + 8) + 8(b + 8)=0

(b + 8)(b + 8)=0

b=8

Therefore, The functions are p(x) = b² - 16b +32 and q(x) = -32b-32 the x value when the functions are equivalent to each other is 8.

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d. -(y² - 2) = y²-5-2y², solve for y

Answers

Answer:

No solution

Step-by-step explanation:

-(y² - 2) = y²-5-2y²

= y^2 - 5 - 2y^2 = - (y^2 - 2)

= -y^2 - 5 =  - (y^2 - 2)

= −(y^2 − 2)

= -y^2 - 5 = -y^2 + 2

-5 = 2

We know that -5 is not equal to 2

So, there is no solution

Answer:
2

Step-by-step explanation:

Tony performs a dilation on Figure R. He uses a scale factor of 4 with a center of dilation at the orgin.

What are the coordinates of the image of vertex P?

Answers

The x- coordinate of the vertex P is  -4  and the y coordinate is -3. The coordinates of the image of vertex P is thus,  (-4, -3).

What are coordinates?

Coordinates are numbers describing the position of a point or shape in a line or particular space. We can represent a line or shape in the space between number lines with both positive and negative coordinates.

The vertical axis in the number line is called y-axis and the horizontal axis is called the x- axis. The coordinate of a point is written as (x, y). The x, y represents the numbers on x-axis and y -axis touched at which the point lies in the graph.

For the given vertex P, the vertex lies on the point -4 on x-axis and on -3 in y axis. Hence, the coordinate of P is (-4, -3).

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What is the area in square units?

Answers

By geometric formulas, the gray square has an area of 25 square units.

How to determine the area of the gray square

Squares are quadrilaterals with four right angles. In this question we find a geometric system formed by seven squares with distinct dimensions. By geometry, the area of a square (A), in square units, is equal to following formula:

A = l²

Where l is the length of the side of a square, in units.

All the required lengths are represented in the image attached below. First, determine the side length of the gray square:

7 + x = 12

x = 12 - 7

x = 5

The gray square has four sides with a length of 5 units.

Second, determine the area of the gray square by means of square formula:

A = x²

A = 5²

A = 25

According to area formula for squares, the area of the gray square is equal to 25 square units.

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becky is doing research in which she needs 28 g of a substance that is 30% protein how many grams of each two ingredients one that is 50% protein in the other 25% protein should she mix together

Answers

Answer:

25.6 grams of the second ingredient (25% protein) to make 28 grams of the mixture that is 30% protein.

Step-by-step explanation:

To make 28 grams of a substance that is 30% protein, Becky will need to mix together different ingredients to get the desired amount of protein.

Let's call the amount of the first ingredient (50% protein) "x" and the amount of the second ingredient (25% protein) "y".

We know that:

The total amount of the mixture is 28 grams

The mixture is 30% protein

The first ingredient is 50% protein

The second ingredient is 25% protein

We can set up the following equations to represent the problem:

x + y = 28 (the total amount of the mixture is 28 grams)

(0.50)x + (0.25)y = 0.30(28) (the mixture is 30% protein)

Now we can use the first equation to solve for one variable in terms of the other. If we solve for y, we get:

y = 28 - x

We can substitute this into the second equation:

(0.50)x + (0.25)(28-x) = 0.30(28)

Which gives us:

0.50x + 7 - 0.25x = 8.4

And further simplifying

0.25x = 0.6

x = 2.4

Now we know that the first ingredient, which is 50% protein, makes up 2.4 grams of the mixture. We can use this information to find the amount of the second ingredient:

y = 28 - x = 28 - 2.4 = 25.6 grams

So, Becky needs to use 2.4 grams of the first ingredient (50% protein) and 25.6 grams of the second ingredient (25% protein) to make 28 grams of the mixture that is 30% protein.

picture shown. what is the volume of the rectangular pyramid?

Answers

Answer:

answer is 187.2

Step-by-step explanation:

5.2 times 4 times 9= 187.2

help help help help use slope form to write the equation of a line that passes through the point (7,-16) with slope 3.

Answers

required equation is, y=3x-37.

What is slope?

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.

Here, given that,

we have to find,

the equation of a line that passes through the point (7,-16) with slope 3.

we know,

y = mx+c

i.e. -16 = 3*7+c

so, c= -37

hence, required equation is, y=3x-37.

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Grade 7 Imagine math i will give brainlist who ever gives me the right answers. plz help me

Answers

-9-(-12)=-9+12

          =3

-9-12=-9+(-12)

       =-21

This is geometry. Please help. Will mark brainliest.

Answers

Answer:

51

Step-by-step explanation:

Which of the following ordered pairs are in the solution set of 0.5x - y>2? (Is it solved for y)

Answers

Answer:

Any ordered pair #(x, y)# that satisfies #x>=6+4y#Or, in set notation, #Solution={(x, y)|x>=6+4y}#Explanation:Now, there is a little problem here - it is that you never specified which ordered pair needs to be evaluated to satisfy the condition #0.5x-2y>=3# Allow me to explain.Below is a graph of the inequality of your question:graph{0.5x-2y>=3 [-10, 10, -5, 5]}To answer which point is in the solution set, well the answer is that any point that is on or within the shaded area is part of the solution set.

Step-by-step explanation:

what is the length x of PQ

Answers

Answer:

11.2

Step-by-step explanation:

If the rectangulars are similar then we can use similarity ratio to calculate value of x

CD is similar to RS and AB is similar to QP

4/6.4 = 7/x cross multiply expressions

4x = 44.8 divide both sides by 4

x = 11.2

The figure below shows a diagram of a reading room. The perimeter of the reading room is 60 feet. What is the width,w, of the reading room?

Answers

Answer:

the answer is 20ft the second choice B

How do you know what to multiply in elimination?

Answers

Answer:

See below

Step-by-step explanation:

When nether of the variable will fall out when adding together.  For example:

2x + 5y = 13

-2x + 7y = 17

When I add these equation together, the variable x will drop out because 2x - 2x = 0 and we would be left with other the y variable which we then can solve for. 12y = 30    

Now another example where the neither the x or y falls out.

x + 5y = 12

2x + 3y= 9

When I add these together, neither variable falls out.

3x + 8y = 21

BUT, if I multiply x + 5y = 12 though by -2 I get

-2x -10y = -24

Now when I add the two equation together the x's will drop out.

-2x -10y = -24

2x + 3y = 9

-7y = --15

What is the area of the parallelogram with vertices at (0,1), (-1,2), (5,4) and (6,3)?
12 square units
10 square units
8 square units
16 square units

Answers

Answer:

d 16

Step-by-step explanation:

Sangeeta divide R 40000 between her two daughterRimmy and Simmi in the ratio 3:5 Find the hare of each daughter

Answers

share of rimmy and simmi is rs15000 and rs25000.

this question is of ratio and proportion, and the solution is as follows,

total amount = rs 40000

Rimmy and Simmi in the ratio = 3:5

sum of shares= 3+ 5 = 8.

so,

share of Rimmy is = 3/8 X 40000

= 120000/8

= 15000

share of simmi is = 5/8 X 40000

= 200000/8

= 25000

so the share of rimmy and simmi is rs15000 and rs25000.

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5.55

How much smaller is the underlined number than the number to its left?
A
1
10
times
B
5
10
times
C
5 times
D
10 times

Answers

I’m pretty sure the answer is D

Which of the following relations is a function? A. (-2, -2), (-6, -5), (2, 8), (2, 2) B. (-6, 2), (-2, 3), (2, 7), (6, 2) C. (6, -10), (-6, 7), (6, 6), (-6, 12) D. (-6, 0), (-2, 5), (-6, -3), (2, 9)Which of the following relations is a function? A. (-2, -2), (-6, -5), (2, 8), (2, 2) B. (-6, 2), (-2, 3), (2, 7), (6, 2) C. (6, -10), (-6, 7), (6, 6), (-6, 12) D. (-6, 0), (-2, 5), (-6, -3), (2, 9)

Answers

The correct relation which shows the function is,

⇒ (-6, 2), (-2, 3), (2, 7), (6, 2)

Option B is true.

What is Function?

A relation between a set of inputs having one output each is called a function.

Now, We know that;

Function is a relation between a set of inputs having one output each.

So, By given options;

A. (-2, -2), (-6, -5), (2, 8), (2, 2)

Here, Two value of outputs 8, 2 have same input 2.

So, This is not a function.

B. (-6, 2), (-2, 3), (2, 7), (6, 2)

Here, A set of inputs having one output each.

So, This is function.

C. (6, -10), (-6, 7), (6, 6), (-6, 12)

Here, Two value of outputs - 10, 6 have same input 6.

So, This is not a function.

D. (-6, 0), (-2, 5), (-6, -3), (2, 9)

Here, Two value of outputs 0, -3 have same input -6.

So, This is not a function.

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Graph the Following parent function

Answers

Answer:

  see attached

Step-by-step explanation:

You want the graph of g(x) = -f(x-3), given the graph of the parent function f(x) = log₂(x).

Transformation

The replacement of x with x-3 as the function argument causes the graph to be translated 3 units to the right.

The replacement of f(x) with -f(x) causes the graph to be reflected over the x-axis.

The translated, reflected graph is shown in blue in the attachment.

Please help
Find the surface area of the rectangular prism.
7in, 12in, and 2in.

Answers

Answer:

244 in^2

Step-by-step explanation:

We'll start by listing out the dimensions of different surfaces on the shape, and how many times that specific sized rectangle is on the prism.

7x2 = 212x2 = 212x7 = 2

The prism has six sides, so check that whatever list you make lines up.

one side is equal to 14 in^2, so both sides have a total area 28 in^2one side is equal to 24 in^2, so both sides have a total area of 48 in^2one side is equal to 84 in^2, so both sides have a total area of 168 in^2

Now we can add all this up, 28 + 48 + 168 = 244 in^2 !

fill in the following statements with sometimes, always, or never in order to the statements true

Answers

Perfect squares NEVER be irrational numbers.

Repeating decimals will ALWAYS be rational numbers.

Irrational numbers will NEVER be able to be written as fractions.

What is a perfect square?

A square number, also known as a perfect square, is an integer that is the square of another integer, or the result of multiplying another integer by itself. For instance, 9 is a square number since it equals 3² and is represented by the symbols 3 × 3.

A number whose decimal representation eventually becomes periodic is known as a repeating decimal, also known as a recurring decimal.

All real numbers that are not rational are considered irrational numbers. In other words, it is impossible to express an irrational number as the ratio of two integers.

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Complete question

Fill in the following statements with either "sometimes ", "always ", or "never " in order to make it a true statement.

Perfect squares _______be irrational numbers

Repeating decimals will_____be rational numbers

Irrational numbers will____ be able to be written as fractions

How many positive two-digit integers are multiples of 5 and of 7?

Answers

The number of positive two-digit integers that are multiples of 5 and 7 are 2

What ae multiples?

In mathematics, multiples are the results of multiplying an integer by a given number.

The multiples of 5 and 7 within 10 to 100 are

35 and 70

multiples of 5: 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95

multiples of 7: 7 14 21 28 35 42 49 56 63 70 77 84 91 98

The common numbers are 2 which are 35 and 70

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11. Which statement suggests causation?
a) When you are at the beach, you get
wet.
b) When you study for a test, your
classmate studies too.
c) When you carry an umbrella to school,
it rains.
d) When you don't brush your teeth, you
get cavities.

Answers

d) When you don’t brush your teeth, you get cavities.

hope this helps :)

Volume ? Length: 5 inches
Width: 3 inches
Height: 7.2 inches

Answers

Volume or a rectangular prism is length times width times height so volume is 108 inches^3

What is the value of the expression 6y-12 when y=5


Plz help

Answers

Answer:

18

Step-by-step explanation:

6y-12

= 6(5) - 12

= 30 - 12

= 18

What number is 0.1 more than 25.78

Answers

Answer:

A

Step-by-step explanation:

"More than" can be taken as "that part extra", thus, addition can be helpful. The number which is 0.1 more than 25.78 is given by Option A: 25.88

How to form mathematical expression from the given description?

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

The number needed is 0.1 more than 25.78

When we add something to a number(some positive thing), we increase that thing and make it more than what it was before.

The expression "c is a more than b" means c = b + a

(b had to increase by 'a' to get equal to c, so c was already 'a' more than b)

The needed number will be 0.1 + 25.78 = 0.10 + 25.78 = 25.88

Thus, the number which is The number which is 0.1 more than 25.78 is given by Option A: 25.88

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CONVERT 5820 GRAMS TO KILOGRAMS. (1KILOGRAMS = 1000 GRAMS)

Answers

Answer:

1Kilogram=1000

5820/1000= 5.82 kilograms

Step-by-step explanation:

please mark me as brainliest if im correct

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