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
DochEvi [55]
3 years ago
15

A swimming pool is represented on a coordinate grid with the following vertices: Vertex A is at (−2,−3) . Vertex B is at ​​ (−2,

5) . Vertex C is at (3,5) . Vertex D is at (3,−3) . While Jared cleans the pool, he walks from vertex A to vertex B, then to vertex C, then to vertex D, and then back to vertex A. One unit on the grid equals 1 yard. What is the total distance Jared has walked? Enter your answer in the box.
Mathematics
1 answer:
Semmy [17]3 years ago
3 0

Answer:

26 yards.

Step-by-step explanation:

We can find the distance walked by Jared by finding the distances between each of the given vertex of swimming pool. We will use distance formula to find the distances between each vertex.  

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

\text{Distance between vertex A and vertex B}=\sqrt{(-2--2)^{2}+(-3-5)^{2}}  

\text{Distance between vertex A and vertex B}=\sqrt{(-2+2)^{2}+(-8)^{2}}

\text{Distance between vertex A and vertex B}=\sqrt{(0)^{2}+(-8)^{2}}

\text{Distance between vertex A and vertex B}=\sqrt{64}=8

Now let us find distance between vertex B and vertex C.

\text{Distance between vertex B and vertex C}=\sqrt{(-2-3)^{2}+(5-5)^{2}}

\text{Distance between vertex B and vertex C}=\sqrt{(-5)^{2}+(0)^{2}}

\text{Distance between vertex B and vertex C}=\sqrt{25}=5

Now let us find distance between vertex C and vertex D.

\text{Distance between vertex C and vertex D}=\sqrt{(3-3)^{2}+(5--3)^{2}}

\text{Distance between vertex C and vertex D}=\sqrt{(0)^{2}+(5+3)^{2}}

\text{Distance between vertex C and vertex D}=\sqrt{64}=8

Now let us find distance between vertex D and vertex A.

\text{Distance between vertex D and vertex A}=\sqrt{(3--2)^{2}+(-3--3)^{2}}  

\text{Distance between vertex D and vertex A}=\sqrt{(3+2)^{2}+(-3+3)^{2}}    

\text{Distance between vertex D and vertex A}=\sqrt{(5)^{2}+(0)^{2}}

\text{Distance between vertex D and vertex A}=\sqrt{25}=5

Now let us add all these distances to find the total distance walked by Jared.  

\text{Total distance walked by Jared}=8+5+8+5

\text{Total distance walked by Jared}=26  

Since we have been given that one unit on the grid equals 1 yard,   therefore, Jared walked a distance equal to 26 yards.  

You might be interested in
Resuelve el siguiente problema un buzo en una laguna decendio 8m en una hora.Si cada hora bojo la misma cantidad de metros, ¿cua
S_A_V [24]

Answer:

X = 32 meters.

Step-by-step explanation:

  • Let the unknown distance be X.

<u>Given the following data;</u>

  • Distance = 8 meters per hour
  • Time = 4 hours

To find how many meters he would cover in four hours;

1 hour = 8 meters

4 hours = X meters

Cross-multiplying, we have;

X = 8 * 4

<em>X = 32 meters.</em>

7 0
3 years ago
What is a 90-degree rotation on a graph.
Oksanka [162]
Rotation of a point through 90-degree is about he origin in clockwise direction when point M(h,k) is rotated about the origin O through 90-degree in clockwise direction
4 0
3 years ago
2. The average distance from the sun to the planet Mercury is about 58,000,000 km. The diameter of a human hair is about 0.0025
kodGreya [7K]
Distance of Sun and Mercury = 58,000,000 km.In Scientific notation, it would be: 5.8 × 10⁷ Km
Diameter of a human hair = 0.0025 cmIn scientific notation, it would be: 2.5 × 10⁻³ cm
Before Comparison, we need to bring cms to Kms or vice-versa, so we can easily calculate then, here, we will go from cm to Km.2.5 × 10⁻³ × 10⁻⁵ Km = 2.5 × 10⁻⁸
Now, we can compare the values, 5.8 × 10⁷ Km > 2.5 × 10⁻⁸
[ reason. - power of a smaller number is in negative, it means, it is denominator, which would be very small as compared to other ]
Hope this helps!
3 0
3 years ago
The sum of 14 and 3<br> divided by r
labwork [276]

Answer:

?

Step-by-step explanation:

7 0
3 years ago
Can you solve this and show work I wanna check if I got the answer right (I got -5)
marissa [1.9K]

-2(3y + 5) = -4

Distribute

-6y - 10 = -4

Add

-6y = 6

Divide

y = -1

Multiply

5y = -5

You got it right.

4 0
3 years ago
Read 2 more answers
Other questions:
  • There are blue, red and yellow marbles in a bag. The probability of choosing a blue marble is 1/8, and the probability of choosi
    5·1 answer
  • mrs presley makes one costume in 2 hours and 13 minutes. how long will it take her to make 6 costumes for a school play?
    5·1 answer
  • kayla bought h number of hats for $13.25 each.if she has $50 dollars to spend ,how many hats could she have bought?
    7·1 answer
  • Helpppppp please thank you
    8·2 answers
  • Can someone plz help me with this
    15·1 answer
  • Help me out if you know plz
    9·1 answer
  • Isosceles triangle with sides 3.5 in, 3.5 in, and 6 in.
    5·1 answer
  • 10h + hx=d-5 solve for h
    8·1 answer
  • 63÷6 = ? ,,,,, please try to give a full solution​
    6·2 answers
  • Jace walked a total distance of StartFraction 5 Over 6 EndFraction of a mile to school this week. If he walked the same distance
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!