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
RUDIKE [14]
3 years ago
7

The map of a walking trail is drawn on a coordinate grid with three points of interest the trail starts at R(-2,4) and goes to S

(3,4) and continues to T(3,-1) The total length of the walking trail is what units

Mathematics
2 answers:
muminat3 years ago
7 0

Answer:

10 units

Step-by-step explanation:

Points R and S both have y-coordinate 4, so they are on the same horizontal line. The distance between them is the absolute value of the difference of the x-coordinates.

RS = |-2 - 3| = |-5| = 5

Points S and T both have x-coordinate 3, so they are on the same vertical line. The distance between them is the absolute value of the difference of the y-coordinates.

ST = |-1 - 4| = |-5| = 5

The total length of the trail is the sum of the two distances.

total length = 5 + 5 = 10

never [62]3 years ago
4 0

Answer:

Step-by-step explanation:

Using the formula for distance, D given 2 coordinates (see attached)

Given

R(-2,4)  S(3,4)   T(3,-1)

Distance RS = √ { [ (-2) -3]² + [4-4]² } = √25 =5 units

Distance ST = √ { [ (3 -3]² + [4-(-1)]² } = √25 = 5 units

Total distance = RS + ST = 5 + 5 = 10 units

You might be interested in
You play two games against the same opponent. The probability you win the first game is 0.4. If you win the first game, the prob
Ilia_Sergeevich [38]

Answer:

a) No

b) 42%

c) 8%

d) X               0                 1                2

   P(X)           42%            50%         8%

e) 0.62

Step-by-step explanation:

a) No, the two games are not independent because the the probability you win the second game is dependent on the probability that you win or lose the second game.

b) P(lose first game) = 1 - P(win first game) = 1 - 0.4 = 0.6

P(lose second game) = 1 - P(win second game) = 1 - 0.3 = 0.7

P(lose both games) = P(lose first game)  × P(lose second game) = 0.6 × 0.7 = 0.42 = 42%

c)   P(win first game)  = 0.4

P(win second game) = 0.2

P(win both games) = P(win first game)  × P(win second game) = 0.4 × 0.2 = 0.08 = 8%

d) X               0                 1                2

   P(X)           42%            50%         8%

P(X = 0)  =  P(lose both games) = P(lose first game)  × P(lose second game) = 0.6 × 0.7 = 0.42 = 42%

P(X = 1) = [ P(lose first game)  × P(win second game)] + [ P(win first game)  × P(lose second game)] = ( 0.6 × 0.3) + (0.4 × 0.8) = 0.18 + 0.32 = 0.5 = 50%

e) The expected value  \mu=\Sigma}xP(x)= (0*0.42)+(1*0.5)+(2*0.08)=0.66

f) Variance \sigma^2=\Sigma(x-\mu^2)p(x)= (0-0.66)^2*0.42+ (1-0.66)^2*0.5+ (2-0.66)^2*0.08=0.3844

Standard deviation \sigma=\sqrt{variance} = \sqrt{0.3844}=0.62

8 0
3 years ago
A 50% decrease followed by a 75% increase
Nataly_w [17]
Greater than the original
7 0
3 years ago
Read 2 more answers
3.9 in fration form in fration
morpeh [17]

Answer:

39 / 10

Step-by-step explanation:

3.9

= 3.9 x 10 / 10

= 39 / 10

6 0
2 years ago
Read 2 more answers
Find the volume of the given figure.
Leokris [45]

Answer:

108

Step-by-step explanation:

The volume of a shape is w*b*h

8 0
2 years ago
Observe the equation below, can a value be found for x to make the equation true? Why or why not? 0=4x
Fiesta28 [93]
You have written 0 = 4x.

The value of x that makes it true is x = 0, given that 4 times 0 is 0.

Nevertheless, I think you wanted to write 0 = 4 ^x (this is 4 raised to the power 4).

In that case, there is not any valued of x that satisfies the equation. This is, the equation is always false.

That is because, there is not any value of x for which 4^x is zero. The range of this function is al the positive values of x, which exclude zero.
3 0
3 years ago
Other questions:
  • G(n)=n-4 h(n) = 3n - 2<br> Find g(9) × h(9)
    9·1 answer
  • Sc 1 lines 1-21 what is the repeated couplet in the witches' dialogue
    8·1 answer
  • A square poster has sides measuring 2 feet less than the sides of a square sign. If the difference between their areas is 40 squ
    12·1 answer
  • In response to rising concerns about identity theft, the number of models of paper
    12·1 answer
  • group of friends wants to go to the amusement park. They have $366.50 to spend parking and admission. Parking is $19, and ticket
    9·1 answer
  • Katie is selling a camera online. She bought the camera at a wholesale cost of $125 and will mark the camera up 60% to make a pr
    6·1 answer
  • Help me ;-;<br><br> Find (2)(‐3)
    14·1 answer
  • Use a calculator to determine if the statement is true or false.
    14·2 answers
  • Name one body system (that we have discussed thus far) that the circulatory system works with to maintain homeostasis? (3-5 sent
    9·1 answer
  • What is the value of the expression, when x = 6?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!