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
Mariulka [41]
3 years ago
8

Because of the increase in traffic between Springfield and Orangeville, a new road was built to connect the two towns. The old r

oad goes south x miles from Springfield to Freeport and then goes east x + 5 miles from Freeport to Orangeville. The new road is 9 miles long and goes straight from Springfield to Orangeville. Find the number of miles that a person drove using the old road. Please help ASAP!!! :(
Mathematics
1 answer:
Doss [256]3 years ago
5 0
<h3>Answer:</h3>

11.70 miles

<h3>Explanation:</h3>

The road from Springfield to Orangeville is apparently the hypotenuse of a right triangle whose legs are x and x+5. The value of x can be found from the Pythagorean theorem:

... 9² = x² + (x+5)²

... 2x² +10x -56 = 0 . . . . . . eliminate parentheses, collect terms, subtract 81.

... x² +5x -28 = 0 . . . . . . . . divide by 2 (because we can)

... x² +5x +6.25 = 28 +6.25 . . . . add 28, then add (5/2)² to complete the square

... (x +5/2) = √34.25 . . . . . . . .take the positive square root

... x = -2.5 +√34.25 ≈ 3.352

The total distance via the old road is the sum of the leg lengths:

... x + (x+5) = 2x +5 = 2(3.352) +5 = 11.704 . . . . miles

You might be interested in
Pleaseeeeeeeeeee help me with this!!
grandymaker [24]
The answer would be D
4 0
3 years ago
Read 2 more answers
Fill in the blank. given e below, you can conclude that is congruent to ___________.
Orlov [11]
Is there a picture that would help me so I can help you? Thanks
3 0
3 years ago
The cheerleaders at Lake High School launch T-shirts into the crowd every time the Lakers score a touchdown. The height of the T
Mamont248 [21]

the anser is c because i dont know

6 0
2 years ago
Find the factored form of this trinomial.<br> b2 - 11b - 12
Levart [38]

Answer:

( b + 1 ) ( b - 12 )

3 0
3 years ago
F (x) = 4x^2 + 18x - 26
koban [17]

Answer:

Hi! I can't really see the graphs on the picture but i can tell you what it should looks like, The graph opens up which means it makes a U shape and The vertex is (- \frac{9}{4}, -\frac{185}{4}) the Axis of Symmetry is x = -\frac{9}{4}and, if you can find all those points in your graph then you'll get 100% i'm sorry that i can't see the picture but i can see the shape but i also need to see the Units.

Step-by-step explanation:

- Brooklynn Deka

❣❣❣❣

8 0
3 years ago
Read 2 more answers
Other questions:
  • 3X3X3X3X3X3X3=? Please help me
    7·2 answers
  • Express f in standard form: f(x) = x^2 − 2x + 3
    10·1 answer
  • A 1/4 mile long suspension bridge is being planned which will require 16 miles of 150 strand (150 wires twisted ) cable to be pl
    14·1 answer
  • Janelle subtracts -4 from a number. the result is 2. what is the number?
    10·2 answers
  • Simplified expression of 3(7/5x+4)-2(3/2-5/4x)
    11·1 answer
  • Ok i need helpppp...............
    9·1 answer
  • Help plz I’ll mark brainliest
    6·1 answer
  • Perform the
    15·1 answer
  • Help please 5 points
    8·1 answer
  • Below is a right cone with a radius of 3 cm and a slant height of 7.6 cm. Find both the volume and surface area of the cone. Rou
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!