In 2008, Scott Dixon won the Indianapolis 500, completing 500 laps in approximately 3.5 hours. Approximately how long did it take for him to complete 1 lap?

Given:

Line P Q has points (-5, 3) and (5, 1).

Line R S has points (-4, -2) and (0, -4).

To find:

The relationship between lines PQ and RS.

Solution:

If a line passing through two points, then the slope of line is

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

Line P Q has points (-5, 3) and (5, 1). So, slope of line PQ is

[tex]m_1=\dfrac{1-3}{5-(-5)}[/tex]

[tex]m_1=\dfrac{-2}{5+5}[/tex]

[tex]m_1=\dfrac{-2}{10}[/tex]

[tex]m_1=\dfrac{-1}{5}[/tex]

Line R S has points (-4, -2) and (0, -4). So, slope of line RS is

[tex]m_2=\dfrac{-4-(-2)}{0-(-4)}[/tex]

[tex]m_2=\dfrac{-4+2}{0+4}[/tex]

[tex]m_2=\dfrac{-2}{4}[/tex]

[tex]m_2=\dfrac{-1}{2}[/tex]

Slopes of two parallel lines are equal.

[tex]m_1\neq m_2[/tex]

They are not parallel because their slopes are not equal.

Therefore, the correct option is C.

Answer:

the correct answer is c

Step-by-step explanation:

Edu2020

Answer:

27 weeks

Step-by-step explanation:

Answer:

[tex]\boxed {\tt f(5)=101}[/tex]

Step-by-step explanation:

We are given the function:

[tex]f(x)=18x+11[/tex]

and asked to find f(5). Therefore, we must substitute 5 in for each [tex]x[/tex].

[tex]f(5)=18(5)+11[/tex]

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Multiply 18 and 5.

[tex]f(5)=90+11[/tex]

Add 90 and 11.

[tex]f(5)=101[/tex]

f(5) is equal to 101.

Answer:

1.07m

Step-by-step explanation:

the first step is to convert inches to cm

1in =2.54cm

(42.4in/1in x2.54cm)

42.4in = 107.69cm

then convert cm to m

1cm =0.01m

(107.69cm/1cm x 0.01m)

107.69cm =1.0769m

~1.07m

Answer:

Step-by-step explanation:

(x - 2)/2 = 1

x - 2 = 2

x = 4

(y + 5)/2= 1

y + 5 = 2

y = -3

(4, -3) Coordinates of B

The coordinates of endpoint B is (4,-3).

In geometry, a line segment is a part of a line that is bounded by two end points, and contains every point on the line that is between end points.

Now it is given that,

Mid point of line segment = M(1,1) i.e. (x,y)

coordinates of A = (-2,5) i.e. (x₁ ,y₁ )

So we have,

x = 1

y = 1

x₁ = -2

y₁ = 5

Let the coordinates of the end point be B(x₂,y₂)

Since,

x = (x₁+x₂)/2

⇒ x₂ = 2x - x₁

Put the values we get,

⇒ x₂ = 2*1 - (-2)

⇒ x₂ = 2 + 2

⇒ x₂ = 4

Similarly,

y = (y₁+y₂)/2

⇒ y₂ = 2y- y₁

Put the values we get,

⇒ y₂ = 2*1- 5

⇒ y₂ = 2 - 5

⇒ y₂ = -3

Hence, the coordinates of endpoint B is (4,-3)

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We can conclude that 7/9 is equal to 0.777.

So, we need to solve 7/9 to know if it is greater, less, or equal to 0.777.

(Refer to the image attached below for calculation)

Therefore, we can conclude that 7/9 is equal to 0.777.

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Answer:

Points are Labeled with capital Letters, such aa P.

Answer:

1

Step-by-step explanation:

Half of 16ths would be 8/16 so 13/16 is closest to 1

plz consider giving me brainliest =)

Answer:

1

Step-by-step explanation:

Its much closer to a whole number than it is to a fraction.

Answer:

Step-by-step explanation:

x + 3 = 41

x = 38

Answer:

6y - 8xy

Step-by-step explanation:

2y-3xy+4y-5xy

Combine like terms:

(2y+4y) + (-3xy -5xy)

6y - 8xy

Answer:

A=[tex]\frac{-3}{4}[/tex]

Step-by-step explanation:

a−3=a1(5)

Step 1: Simplify both sides of the equation.

a−3=a1(5)

a+−3=5a

a−3=5a

Step 2: Subtract 5a from both sides.

a−3−5a=5a−5a

−4a−3=0

Step 3: Add 3 to both sides.

−4a−3+3=0+3

−4a=3

Step 4: Divide both sides by -4.

-4a/-4 = 3/-4

Answer:

For part A its called a ray.For part B it would be EA.

Step-by-step explanation:

Part A would be called a ray because B is the endpoint while C is continuous and a ray has only one endpoint.Part B is EA because E would be the endpoint while A would be continuous.  

Answer:

design 3

Step-by-step explanation:

The average that the car rides in design 1 is 13

Design:2 about 10.5

Design:3 14 is the average

Sorry if this is incorrect im just a nerdy 6 grader who is cool and likes to play football

After finding the square root of 64/100, the value obtained in terms of a fraction will be 4/5.

In mathematics, a fraction is represented by a specific number that designates a portion of an entire. A fraction is a piece or section of a whole, whereby a can have been any number, a particular value, or an object.

As per the given information in the question,

The given fraction is,

The square root of 64/100

So,

√64 = 8 and,

√100 = 10

Then, the fraction will be,

= 8/10 = 4/5

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The Larger complement angle is 57 degrees and Small angle is 33 degrees.

Given about the complement angles.

Complement angles means, the two angles will add up to 90 degrees.

Then angles is x+(x-24)=90

⇒2x=90+24

⇒2x=114

⇒x=57

So, the larger angle is 57 degrees.

small angle is 90-57=33 degrees.

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Answer:

a) 10.5cm

b) 1520cm³ (3 s.f.)

c) 1270cm² (3 s.f.)

Step-by-step explanation:

Please see the attached picture for full solution.

Answer:

Son las tres y diez

Step-by-step explanation:

took the test

Step-by-step explanation:

just multiply 7.6g times 10

5

Step-by-step explanation:

-2 - (-7)

you have to do the opposite of the sign and switch the last number from negative to positive.

Answer:

In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangle's centroid.

Step-by-step explanation:

Answer:

line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangle's centroid.

Step-by-step explanation:

Answer:

they are 17 miles away from their campsite.

Step-by-step explanation:

we get the answer by adding the miles traveled north to the miles traveled west, and we get the total number of miles they traveled away from their campsite.

5 + 12 = 17

Answer:with what I could help

Step-by-step explanation:

Answer:

There are following two methods.

1-By using pre programmed calculator

2-By using formoula

Step-by-step explanation:

1-The first method i suggest for the calculation of area is by using the pre programmed calculator.

Enter the vertex clockwise or anticlockwise into the calculator.

this method is very fast but there is a draw back of this method it is unable to calculate the area of self intersecting polygons. This method is most efficient for the simple polygons and we calculate area very fast.

2-To overcome the draw back of above given method i suggest the method calculate the area by using formoula

First number the vertex in clockwise or anticlckwise direction.

Than use the following formoula to calculate the area of polygon.

Area of polygon= [tex](x_{1}y_{2}-x_{2}y_{1})+(x_{2}y_{3}-x_{3}y_{2})+............+(x_{n}y_{1}-x_{1}y_{n})/2[/tex]

here, if area is negative we take mode of it

[tex]x_{n}[/tex] is the x coorinate of nth vertex.

[tex]y_{n}[/tex] is the Y coorinate of nth vertex.

This method is universal. By using this method we can calculate area of any type of the polygon.

Answer:

6720[tex]in^{3}[/tex]

Step-by-step explanation:

length x width x height

30 in x 16 in x 14 in = 6720[tex]in^{3}[/tex]

Answer:

Well since my shoe is 8.5 inches, you will take 4 whole shoes to make a meter. Therefore, you will have to take 4,000 shoes to make a kilometer because 1 kilometer=1000. (:

Step-by-step explanation: