1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vodka [1.7K]
2 years ago
5

The international cricket team is going to stadium to play the T20 cricket game. A coordinate grid is superimposed on a highway

map of the city. The team hotel is at point (3, 4) and the stadium is at point (7, 1). The map shows a rest stop halfway between the hotel and the stadium. What are the coordinates of the rest stop? What is the approximate distance between the hotel and the stadium? (One unit is approximately equal to 6.4 miles.)
Mathematics
1 answer:
marysya [2.9K]2 years ago
3 0

Answer:

The coordinate of the rest stop is: (5,2.5)

The distance between the hotel and the stadium is 32 miles

Step-by-step explanation:

Given

(x_1,y_1) = (3,4) --- Team hotel

(x_2,y_2) = (7,1) --- Stadium

Solving (a): The coordinates of the rest stop

The rest stop is at half way;

So, the coordinate is:

(x,y) = \frac{1}{2}(x_1+x_2,y_1+y_2)

This gives:

(x,y) = \frac{1}{2}(3+7,4+1)

(x,y) = \frac{1}{2}(10,5)

Open bracket

(x,y) = (5,2.5)

Solving (b): Distance between the hotel and the stadium

We have:

(x_1,y_1) = (3,4) --- Team hotel

(x_2,y_2) = (7,1) --- Stadium

The distance (d) is:

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}

So, we have:

d = \sqrt{(3 - 7)^2 + (4 - 1)^2}

d = \sqrt{(-4)^2 + 3^2}

d = \sqrt{16 + 9}

d = \sqrt{25}

d =5

From the question, we have:

1\ unit = 6.4\ miles

So:

d =5 * 6.4\ miles

d =32\ miles

You might be interested in
PLEASE HELP FAST!
bonufazy [111]

the easiest way is to make the fractions the same, with common denominators.

that means you have to multiply (1/4) by 2, to make it 2/8.

then you can see that she can make 3 total trips, not including driving back home.

7 0
3 years ago
Read 2 more answers
Question 2
SCORPION-xisa [38]
Where are the choices
4 0
3 years ago
What is the algebraic rule?? And how do you find out what algebraic rule on a graph is (x,y)to (x,y+10)??? I know how to find ba
Arlecino [84]

Answer:

  (x, y) ⇒ (-x, y)

Step-by-step explanation:

When you're looking for a rule that transforms one figure to the other, the first step is to look at the figures. You want to identify their orientation (order of vertices) and the relative locations of corresponding vertices.

Here, vertices VWX are in <em>clockwise</em> order. The corresponding vertices V'W'X' are in <em>counterclockwise</em> order. For that to happen, there must be a reflection involved.

The y-axis goes through the midpoints of VV', WW' and XX'. This means the y-axis is the line of reflection. The coordinates of V'W'X' have the same y-values as their originals, but their x-values have changed sign.

The algebraic rule for these two figures is ...

  (x, y) ⇒ (-x, y) . . . . . . reflection over y-axis; sign of x changes

__

<em>Additional comment</em>

No rotation is involved here.

The rule (x, y) ⇒ (x, y+10) means the y-coordinate has had 10 added to it. That causes a translation upward by 10 units. This <em>is</em> the algebraic rule.

7 0
1 year ago
I need help with a math problem...
Furkat [3]
1. x=5/2
2. x=3/4-3/4y
y belongs R
3 0
2 years ago
Here is an illustration of a bedroom. The striped wall and the floor<br> intersect at a
-Dominant- [34]

The striped wall and the floor intersect at a 90 degrees angle since they are perpendicular.

<h3>What is an angle?</h3>

An angle is formed when two or more lines intersect at a point. Types of angles are<em> acute, obtuse, and right angled</em>.

Two lines are said to be perpendicular if there is a 90 degrees angle between them.

The striped wall and the floor intersect at a 90 degrees angle since they are perpendicular.

Find out more on angle at: brainly.com/question/25716982

#SPJ1

5 0
1 year ago
Other questions:
  • The faces of triangular pyramid have a base of 5cm and a height of 11cm what is the lateral area of the pyramid
    15·2 answers
  • What is the volume of a cube with an edge length of 7 centimeters?
    12·2 answers
  • In the expression b m/n, m denotes the what​
    14·1 answer
  • Whats the answer to a quadratic equation of x squared plus 3x plus 2? factor the problem
    8·2 answers
  • Can you please help me thank you so much
    11·2 answers
  • What is the length of AB??
    5·1 answer
  • Find the missing side length leave your answers as radicals in simplest form
    6·1 answer
  • Divide. Express your answer in simplest form.<br> 8 divided by 2 4/9
    9·2 answers
  • Can someone help me please!!
    11·1 answer
  • The marked price of a camera is Rs.45000. If 15% discount is allowed and then 10% VAT is leived on it, Find the selling price of
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!