P is the point (2, 7) and Q is the point (6, -3).
What is the gradient of PQ?

Answers

Answer 1

The Gradient of the line PQ is -5/2.

What is Gradient?

Gradient the basically the ratio between the change in vertical coordinate to change in horizontal coordinates.

Here, P (2, 7) and Q (6, -3)

Now, Gradient = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

m = [tex]\frac{-3 -7}{6 - 2}[/tex]

m = -10/4

m = -5/2

Thus, the Gradient of the line PQ is -5/2.

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Related Questions

HELP ME PLS I AM DESPERATE
Madeline scored 75 and 80 on her first two exams. What score does she need to achieve on the third exam in order to earn an average of 85?

Answers

Answer:

100

Step-by-step explanation:

75 + 80 + 100 divided by 3 = 85

Every variable has a coefficient. That’s the number it is multiplied by. According to mathematical convention, coefficients always go in front of their variable. If there is no number in front of a variable in an expression, the coefficient is 1 since the product of any number and 1 is that number. In expressions, operations can be applied directly to a variable. Here are some examples: What is the coefficient of the variable in the expression ½ + v - 3?

Answers

Answer:

Step-by-step explanation:

Answer:

There is only 1 variable and it is v.

There is no coefficient.

That means the coefficient is 1.

The coefficient of the variable in the expression ½ + v - 3 is [tex]\frac{1}{2}[/tex]

What is the coefficient

In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number, but may be any expression (including variables such as a, b, and c). When the coefficients are themselves variables, they may also be called parameters.

Given that,

[tex]\frac{1}{2}[/tex] is the coefficient

[tex]v[/tex] is the variable

[tex]3[/tex] is the constant

Therefore, The coefficient of the variable in the expression ½ + v - 3 is [tex]\frac{1}{2}[/tex]

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Number of Edges = [?]
=

Answers

Answer:

Step-by-step explanation:

EXTREMELY URGENT Which function, g or h, is the inverse function for function ƒ?
the function h because the graphs of ƒ and h are symmetrical about the line y = x
the function g because the graphs of ƒ and g are symmetrical about the line y = x
the function h because the graphs of ƒ and h are symmetrical about the x-axis
the function g because the graphs of ƒ and g are symmetrical about the x-axis

Answers

Answer:

The answer is The function g because the graphs of ƒ and g are symmetrical about the line y = x

Step-by-step explanation:

A function and its inverse function become symmetrical across the line y = x.

Rita reads 48 chapters of a book in 6 hours.
What is her rate in chapters per hour?

Answers

Answer:

To find Rita's rate per hour, all you have to do is divide 48/6 which 8. This means that Rita reads 8 books per hour

Step-by-step explanation:

Conic sections provide a format that makes them fairly uncomplicated to draw manually. The true sense
of mastery is to take a graph of a conic section and develop the equation
Your job is to simply come up with the equations for the two
graphs.

Answers

The equation of the ellipse will be (x - 5)² / 16 + (y + 7)² / 64 = 1 and the equation of the hyperbola will be (x + 1)² / 4 - (y)² / 64 = 1.

What is an ellipse?

Ellipse is a locus of a point that moves in a plane such that the sum of its distances from the two points called foci adds up to a constant. It is taken from the cone by cutting it at an angle.

What is a hyperbola?

The hyperbola is the locus of a point such that the difference of distance from point P to two non-movable points. These two points are called foci of hyperbola.

Conic sections provide a format that makes them fairly uncomplicated to draw manually.

Then the equation of the ellipse will be

(x - 5)² / 16 + (y + 7)² / 64 = 1

Then the equation of the hyperbola will be

(x + 1)² / 4 - (y)² / 64 = 1

The graphs are given below.

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What is the mean absolute deviation of 4,6,7,10,13

Answers

Answer:

2.8

Step-by-step explanation:

To find the mean aboslute deviation, you first need to find the mean:

(4 + 6 + 7 + 10 + 13)/5 = 8

Then, subtract the mean from each value, and take the abosulte value. Absolute value is essentially the same number, but if it is negative, make it positive.

4 - 8 = -4 = 4

6 - 8 = -2 = 2

7 - 8 = -1 = 1

10 - 8 = 2 = 2

13 - 8 = 5 = 5

Then, take the mean of all of these values:

(4 + 2 + 1 + 2 + 5)/5 = 2.8

The angle below is the image formed when a figure containing /KLM is
dilated by a scale factor of 1/2 What is the measure of ZKLM?
M'
K'
48°
L'

Answers

Answer: 48 degrees

Step-by-step explanation:

Dilations preserve angle measure.

Michiko is selling raffle tickets to raise money for the school band. The odds against winning a prize in the raffle are 13:1. What is the probability of winning a prize? Express your answer as a decimal. If necessary, round your answer to the nearest thousandth.
0.929
14
0.071
0.077

Answers

The probability of winning a prize is 0.929 if Michiko is selling raffle tickets to raise money for the school band. The odds against winning a prize in the raffle are 13:1 option first is correct.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

The odds against winning a prize in the raffle are 13:1

This means 13 to 1 odds for winning:

The probability of winning a prize:

Winning = 13/(13+1) = 0.929 or

=92.8571%

Losing = 1 - 0.9286 = (0.0714) or

=7.14%

Thus, the probability of winning a prize is 0.929 if Michiko is selling raffle tickets to raise money for the school band. The odds against winning a prize in the raffle are 13:1 option first is correct.

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Answer:

0.071

Step-by-step explanation:

If the odds against winning a prize are 13:1, then the odds in favor of winning a prize are 1:13.

Pa help po salamat,

Answers

Answer:

- a frequency table is how much a number occurs, for example there are 4 10's in data list given so the frequency is 4

- the prompt asked for a width of 6 so 1 - 6, there was no numbers of 1, 2, 3, 4, 5, 6 in the list making the frequency 0

if a+b=10 and a-b=6,then find the value of (a²+b²)

Answers

Answer:

Explanation:

Sets of equations:

1) a + b = 10

2) a - b = 6

Make 'a' the subject:

1) a = 10 - b --- equation 1

2) a = 6 + b --- equation 2

Solve them by substituting:

⇒ 10 - b = 6 + b

⇒ -b - b = 6 - 10

⇒ -2b = -4

⇒ b = 2

Find value of 'a', a = 10 - b, a = 10 - 2 = 8

Then find (a²+b²), by inserting a = 8, b = 2,

⇒ ((8)²+(2)²) = 64 + 4 = 68

Step-by-step explanation:

given,

a+b=10.............( eqn 1)

a-b=6................(eqn 2)

adding eqn1 and eqn2

a+b=10

a-b=6

______

2a=16

a=16/2

a=8

putting the value of a in eqn 1

a+b=10

8+b=10

b=10-8

b=2

now,

(a²+b²)= 64+4=68

find the volume of this figure. round your answer to the nearest hundredth. if necessary

#8

Answers

Answer:

30 miles²

Step-by-step explanation:

To solve the area of the prism we have to multiply the area of the base * the height of the prism. The base of the prism is a right triangle.

(b*h)÷2 = Area of a triangle

Base = 4

Height = 3

Now:

(4*3)/2 = 6 miles²

Now we have to multiply 6 miles² by 5 as our height.

We get 30 miles² as the volume of the figure.

how many circular tiles are needed for pattern 20

Answers

What pattern are you talk about

Please help pethagriem entherum

Answers

Hey ! there

Answer:

13 is the answer .

Step-by-step explanation:

In this question we are provided with right angle triangle having hypotenuse ( longest side ) = c , perpendicular = 5 and base = 12 . And we are asked to find the length of missing side i.e. hypotenuse and if necessary we have to round it off to 2 decimal places.

We can find the missing side by using Pythagorean Theorem . It states that sum of squares of perpendicular and base is equal to square in a right angle triangle that is ,

[tex] \: \qquad \: \qquad \: \underline{\boxed{ \frak{H {}^{2} = P {}^{2} + B {}^{2} }}}[/tex]

Where ,

H refers to Hypotenuse

P refers to Perpendicular

B r refers to Base

SOLUTION : -

Substituting value of hypotenuse as c , perpendicular as 5 and base as 12 in formula :

[tex] \quad \longmapsto \qquad \: (c) {}^{2} = (5) {}^{2} + (12) {}^{2} [/tex]

Squaring 5 and 12 :

[tex] \quad \longmapsto \qquad \:(c) {}^{2} = 25 + 144[/tex]

Adding 25 and 144 :

[tex] \quad \longmapsto \qquad \:(c) {}^{2} = 169[/tex]

Applying square root to both sides :

[tex] \quad \longmapsto \qquad \: \sqrt{(c) {}^{2} } = \sqrt{169} [/tex]

On simplifying , We get :

[tex] \quad \longmapsto \qquad \orange{\underline{\boxed{\frak{c = 13}}}} \quad \bigstar[/tex]

Henceforth , ❝ 13 ❞ is the length of missing side .

Verifying : -

Now we are checking our answer by putting all values in formula . So ,

( 13 )² = ( 5 )² + ( 12 )²

169 = 25 + 144

169 = 169

L.H.S = R.H.S

Hence, Verified .

Therefore , our answer is correct .

#Keep Learning

Answer :

[tex] \: [/tex]

Step-by-step explanation :

Here, A right angled triangle is given with the measure of two sides and we are to find the measure of the third side.

We'll find the measure of third side with the help of the Pythagorean theorem,

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (Hypotenuse {)}^{2}= (Base) {}^{2} + (Perpendicular {)}^{2} }}} \\ \\[/tex]

Here,

The Base is 12

The Perpendicular is 5

The Hypotenuse is c.

[tex] \: [/tex]

So, substituting the values in the formula we get :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (c {)}^{2}= (12) {}^{2} + (5 {)}^{2} }}} \\ [/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (c {)}^{2}= 144 + 25 }}} \\ [/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (c {)}^{2}= 169 }}} \\ [/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad c = \sqrt{169} }}} \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad c= 13 }}}\\ \\[/tex]

Therefore,

The measure of the third side (c) is 13

What is the solution set to this equation? log₂ (x - 2) + log₂x = 3

Answers

Let's see

[tex]\\ \rm\Rrightarrow log_2(x-2)+log_2x=3[/tex]

[tex]\\ \rm\Rrightarrow log_2(x(x-2))=3[/tex]

[tex]\\ \rm\Rrightarrow x²-2x=8[/tex]

[tex]\\ \rm\Rrightarrow x(x-2)=8[/tex]

Either x=8

x-2=8x=10

Solution set

x[8,10]

What is the volume of the bookend?
“See image” I CANT FIGURE THIS OUT
(Hint: The volume of a rectangular prism is the product of its length, width, and height.)

A.

B.

C.

D.

Answers

Answer:

(573+9/2 cubic inches

Step-by-step explanation:

the answer is A

Find the area of the shapes below. Make sure to label your answers with units.

Answers

Triangle: 13.3 km Why: the formula is 1/2 base x height.
Square: 57.4 Why: 7x8.2 which equals 57.4

Figure a: The area of the triangle is 13.3 sq. km.

Figure b: The area of the rectangle is 57.4 sq. cm.

Figure c: The area of the parallelogram is 45.5 sq. km.

Figure d: The area of the trapezoid is 24.36 sq. m.

What is the area of a two-dimensional figure?

The area of a two-dimensional closed figure is the total space within its boundary.

How to solve the question?

In the question, we are asked to find the area of the given shapes.

Figure a:-

It is showing a triangle.

The area of a triangle is calculated using the formula:

Area = (1/2)*Base*Height.

Thus, the area of the triangle

= (1/2)*7*3.8 sq. km

= 13.3 sq. km.

Figure b:-

It is showing a rectangle.

The area of a rectangle is calculated using the formula:

Area = Length*Width.

Thus, the area of the rectangle

= 8.2*7 sq. cm

= 57.4 sq. cm.

Figure c:-

It is showing a parallelogram.

The area of a parallelogram is calculated using the formula:

Area = Base*Height.

Thus, the area of the parallelogram

= 9.1 * 5 sq. km

= 45.5 sq. km.

Figure d:-

It is showing a trapezoid.

The area of a trapezoid is calculated using the formula:

Area = (1/2)*(Sum of parallel sides)*(height).

Thus, the area of the trapezoid

= (1/2)*(2.7 + 8.9)*4.2 sq. m.

= 11.6 * 2.1 sq. m.

= 24.36 sq. m.

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rewrite! Write an new and equivalent equation that is easier to solve

Answers

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

Given - an equation in a standard form

To do - simplify the equation so as to obtain an easier one

Since the equation provided isn't in it's general form , let's first convert it ~

General form of a Linear equation -

[tex]\bold{ax + b = 0}[/tex]

The equation after getting converted will be as follows ~

[tex] - 7 + ( \frac{4x + 2}{2} ) = 8 \\ \\ \implies \: \frac{ - 14 + 4x + 2}{2} = 8 \\ \\ \implies \: - 14 + 4x + 2 = 16 \\ \\ \implies \: 4x = 16 + 14 - 2 \\ \\ \implies \: 4x = 28 \\ \\\bold{ General \: form \: \dashrightarrow \: 4x - 28 = 0}[/tex]

hope helpful ~

What is the relationship between body length and wingspan?

A - As the length increases, the
wingspan increases.

B - As the length increases, the
wingspan decreases.

C - As the length increases, the
wingspan stays the same.

D - There is no relationship
between the length and the
wingspan.

Answers

Answer:

A - As the length increases, the wingspan increases.

Very sorry if I got it wrong but I think it is A.

Answer:

I think it's A

Step-by-step explanation:

As the length increases the wingspan increases

The late fees for a school library are represented by the function
c=0.25d, where c is the total cost and d is the number of days.
a book is late. The fees charged by a city library are shown in the
table.

Answers

Answer:

Rates of change:

school library: $0.25 per day;

city library: $0.35 per day

| Snapsolve. ... where $c$ is the total cost and $d$ is the number of days a book is late. The fees charged by a city library are shown in the table

Step-by-step explanation:

Isabel works for a company that makes toys. She is trying to figure out what types of toys kids enjoy playing with most. She started with a survey asking whether kids liked dolls or trains. She surveyed 80 kids. Of the kids who don't like dolls, 30% more kids like trains than don't like trains. Fill out the rest of his table.

Answers

The table that represents the survey conducted by Isabel is:

Like Dolls Don't like Dolls Total

Like Trains 40 15 55

Don't like Trains 17 8 25

Total 57 23 80

How can the table be filled?

The total number of kids that like dolls = total number kids - total number of kids that don't like dolls

80 - 23 = 57

Number of kids that don't like Trains but like dolls = total number kids that like dolls - Number of kids that like Trains and dolls

57 - 40 = 17

Number of kids that don't like dolls and but like trains :

30% x 23 = 7

(23 - 7) /2 + 7 = 15

Number of kids that don't like dolls and trains = (23 - 7) / 2 = 8

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Which of the following graphs matches the equation y=−4x+3?

CLEAR CHECK

On a coordinate plane, a line goes through (0, 3) and (3, negative 3).

On a coordinate plane, a line goes through (negative 2, 5) and (0, negative 3).

On a coordinate plane, a line goes through (0, 3) and (3, negative 1).

Answers

Answer:

On a coordinate plane, a line goes through (0, 3) and (3, negative 1).

Answer: the bottom left

Step-by-step explanation:

you will find it or just look it up if im wrong

Martin has a piece of purple yarn that is 3 1/2 inches long he has a piece of yellow yarn that is 3 5/6 inches Long how much longer is the yellow yarn?

Answers

Answer:

2 1/3 longer

Step-by-step explanation:

yw ;)

Answer:

⅓

Step-by-step explanation:

Expression : 3 ⅚ - 3 ½

3 ½ would become 3 3/6.

3 ⅚ - 3 3/6 = 2/6 = 1/3

The price of a certain computer stock t days after it is issued for sale is p ( t ) = 100 + 20t − 3t^2 dollars. The price of the stock initially rises, but eventually begins to fall. During what period of time does the stock price rise? 0 ≤ t ≤ If you owned the stock, after how many days would you sell it? days

Answers

The period of time does the stock price rise is 0 ≤ t ≤ 10/3.

It would sell in 3.34 days.

What is differentiation?

It is the process of finding the derivative, or rate of change, of a function.

The price of a certain computer stock after t days is

p(t) = 100 + 20t - 3t²

Now, take the derivative of the given function and equate it to zero to find the critical points,

p'(t) = 20 - 6t = 0

t = 20/6

t = 10/3 days

Thus, there are two intervals in which the given function is defined

(0, 10/3) and (10/3, ∞)

For the interval (0,10/3 ),

p'(1) = 20 - 6(1) =14

For the interval (10/3, ∞),

p'(2) = 20 - 6(2) = 8

Since p'(t) in the interval (0, 10/3) indicates that the function is increasing.

0 < t <10/3

Since at the point t = 3.34 days it would sell.

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Which of the following are always congruent?

Answers

Answer:

B. Vertical angles

Step-by-step explanation:

A line passes through the point (-2, -9) and has a slope of 8

Answers

Step-by-step explanation:

[tex]y - y_1 = m.(x - x_1)[/tex]

[tex]y - ( - 9) = 8.(x - ( - 2))[/tex]

[tex]y = 8x + 16 - 9[/tex]

[tex]y = 8x + 7[/tex]

Answer:

y = 8x + 7

Step-by-step explanation:

We are given that a line contains the point (-2, -9), and a slope of 8

We want to write the equation of this line

There are multiple ways to write the equation of the line:

Slope-intercept form, written as y=mx+b where m is the slope and b is the y interceptStandard form, written as ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be zero and a cannot be negativePoint-slope form, written as [tex]y-y_1=m(x-x_1)[/tex], where m is a slope and [tex](x_1, y_1)[/tex] is a point

The most common of these 3 methods is slope-intercept form, so let's write our equation this way

As we are already given the slope, we can immediately plug that into our formula for m

Replace m with 8:

y=8x+b

Now we need to find b

As the equation passes through (-2, -9), we can use its values to help solve for b

Substitute -2 as x and -9 as y:

-9 = 8(-2) + b

Multiply

-9 = -16 + b

Add 16 to both sides

7 = b

Substitute 7 as b.

y = 8x + 7

Topic: finding the equation of the line

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Convert the degree measure to radian measure as a multiple of pi and as a decimal rounded to three decimal places.

Answers

Step-by-step explanation:

remember, 360° (the full circle) = 2pi

60° = 60/360 × 2pi = 2pi/6 = pi/3 = 1/3 × pi =

= 1.047197551... ≈ 1.047

210° = 210/360 × 2pi = 210/180 × pi = 7/6 × pi =

= 3.665191429... ≈ 3.665

225° = 225/360 × 2pi = 225/180 × pi = 45/36 × pi =

= 5/4 × pi = 3.926990817... ≈ 3.927

120° = 120/360 × 2pi = 2pi/3 = 2/3 × pi =

= 2.094395102... ≈ 2.094

At a baseball game, a vender sold a combined total of 183 sodas and hot dogs. The number of sodas sold was two times the number of hot dogs sold. Find the
number of sodas and the number of hot dogs sold.

Answers

Answer:

61 hot dogs

122 sodas

Step-by-step explanation:

x+x2=183

3x=183

183÷3=

PLEASE HELP!!
Suppose Lamar places
$4500 in an account that
pays 9% interest
compounded each year.

Assume that no withdrawals
are made from the account.

Follow the instructions
below.

Do not do any
rounding.

(a) Find the amount in the
account at the end of 1 year.

$__

(b) Find the amount in the
account at the end of 2
years.

$__

Answers

Answer:

A) $4,905 B) $5,310

Step-by-step explanation:

To get the answer, just simply add the amount by the percentage.

4,500 + 9% = A

For 2 years, just do 9 x 2 = 18 because it's 2 years

4,500 + 18% = B

Hayden said the expression 3(2x+1) will always be greater than 3 because when I distribute the 3 to the numbers inside the parentheses, I will multiply 3 and 1 which is 3 since I will always be adding to the first part of the expression the final answer must be greater than 3

Answers

Answer:

9x.

Step-by-step explanation:

Hayden is correct. 3(2x + 1) = 9x.

Here is explanation:

If you didn't know, 2x + 1 would simply be 3x.

So then, 3 * 3x would then be 9x.

Here is math explanation:

3(2x + 1)= 3(3x)= 3 * 3x= 9x.

You now have your answer!

9x is your answer.

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P is the point (2, 7) and Q is the point (6, -3). What is the gradient of PQ?

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P is the point (2, 7) and Q is the point (6, -3).
What is the gradient of PQ?