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
Sliva [168]
2 years ago
5

Suppose two bicyclists start at the same location.

Mathematics
1 answer:
aliya0001 [1]2 years ago
7 0

Answer:

  4 mi/h

Step-by-step explanation:

The distance between the cyclists is the hypotenuse of an isosceles right triangle. The hypotenuse is √2 times the length of the legs in such a triangle, so each cyclist must have ridden 8 miles in 2 hours.

Their speed is (8 mi)/(2 h) = 4 mi/h.

_____

<em>Additional comment</em>

Consider an isosceles right triangle with leg lengths 1. Then the Pythagorean theorem tells us the length of the hypotenuse is ...

  c² = a² +b² . . . square of hypotenuse is sum of squares of legs

  c² = 1² +1² . . . . both legs are 1 in our example triangle

  c² = 2

  c = √2

That is, the hypotenuse is √2 times the leg length.

You might be interested in
Solve 5x(x-6)(4x+9)=0
xxTIMURxx [149]
Greetings and Happy Holidays!

Solve 
for x.
5x(x-6)(4x+9)=0<span>

Distribute the parenthesis:
</span>5x(x-6)(4x+9)=0

(5x^2-30x)(4x+9)=0

(20x^3-120x^2)+(45x^2-270x)=0

Combine like terms:
20x^3-75x^2-270x=0

Factor out GCF (5x):
5x(4x^2-15x-54)=0

Factor the Complex Trinomial:
5x(4x^2+9x-24x-54)=0

5x(x(4x+9)-6(4x-9))=0

5x((4x+9)(x-6))=0

Set Factors to Equal 0:
5x=0

x=0

or

4x+9=0

4x=-9

x=\frac{-9}{4}

or

x-6=0

x=6

The Answers Are:
\boxed{x=0} \\ \boxed{x= \frac{-9}{4}} \\ \boxed{x=6}

I hope this helped!
-Benjamin

8 0
3 years ago
Which graph is a function of x?
xeze [42]

Answer:

1st one jus did this

Step-by-step explanation:

easy

7 0
2 years ago
For neighborhood parks of a given size, the equation yˆ=7.219x+2.033 models the number of children at a park, where x is the num
Soloha48 [4]
I'm not 100% sure, but I believe the answer would be:
D. For every additional adult at the park, the number of children increases by about 7. 
P.S. good luck on the 6.10, fellow classmate!
6 0
3 years ago
Read 2 more answers
Sara receives a 9% commission on every car she sells. The car dealership paid $20,000 for a car from an auction. The next day th
Paladinen [302]

Hey there! Your answer to this problem is 2160..

Explanantion:

Since every car Sara sells, she gets 9% of the commission, this means that at the last few step, we would have to give 9% of the total cost to Sara.

If 100% is 20,000, then 50% would be 10,000. But we have to find the cost of 20%. So what we would actually be doing is multiplying 20 with 0.01. 20x0.01 is 0.2 or 0.20.

Then you add the 4,000 to the 20,000 because it states, “the next day, they sold the car 20% more than they paid. This means that you’ll have to add it. 20,000 plus 4000 would be 24,000. So 24,000 would be the cost of the car they sold.

However they didn’t wanna know the cost of the car, they wanted to know how much Sara would get. So you would have to take 9% of the cost of the cost which would be 2,160.

Final result: $2,160

4 0
3 years ago
What is the equation of the line that goes through (−1, −1) and is parallel to y = 6x − 1?
Alexandra [31]
Y-y1 = m(x-x1)
y-(-1) = 6 (x- -1)

answer: y = 6x-5
5 0
3 years ago
Other questions:
  • If u have 8 points how many triangles can u make with
    12·1 answer
  • Zoe is making a quilt using 15 red squares and 30 green squares. Which combination shows the same ratio of red squares to green
    5·2 answers
  • How can you find the volume of a rectangular prism
    12·2 answers
  • Lance and Rita were tied in a game. Then Lance got these scores: 19, -7, 3, -11, 5. Rita got these scores: 25, -9, 5, -9, 8. Who
    11·1 answer
  • 2. Vertical angles CAN NOT be which of the following?
    9·2 answers
  • Find the equation of the linear function represented by the table below in slope-intercept form.
    10·1 answer
  • The cost price of a crate of 180 apples cost RM 81. The greengrocer threw away the bad
    7·1 answer
  • What is the possible value of k such that √50 and √k can be written as a single term?
    9·1 answer
  • PLZ HELP<br> find the midpoint of the line segement with the given endpoints<br> 1) (0,-2) , (0,-8)
    10·1 answer
  • 3(2x - 5) 4(3x + 1)<br><br> (SHOW WORK)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!