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
ollegr [7]
3 years ago
12

Rosa works due north of home. Her husband Ray works due east. They leave for work at the same time. By the time Rosa is 5 miles

from​ home, the distance between them is one mile more than Ray​'s distance from home. How far from home is Ray Ray​?
Mathematics
1 answer:
vlabodo [156]3 years ago
5 0
 Ray is 12 miles from home.

Let x be Ray's distance from home.  His distance is one leg of a right triangle; 5, Rosa's distance from home, is the other.  The hypotenuse, the distance between them, is 1 more than Ray's distance from home, or x+1.  Using the Pythagorean theorem,

5²+x²=(x+1)²
25+x²=(x+1)(x+1)

Multiplying the binomials, we have
25+x²=x*x+1*x+1*x+1*1
25+x²=x²+1x+1x+1
25+x²=x²+2x+1

Subtracting x² from both sides,
25 = 2x+1

Subtracting 1 from both sides,
24 = 2x

Divide both sides by 2, and we have
12 = x

Ray is 12 miles from home.
You might be interested in
What is 9 divided by 350 original form
dlinn [17]
The answer is 38.8 repeating. Might as well just round it
4 0
3 years ago
Determine the direction that this parabola opens y=2x^2-4x-6<br><br><br> Down or up
dimaraw [331]

Answer: The parabola opens upwards.  

Step-by-step explanation:

6 0
3 years ago
Gallup conducted a survey from April 1 to 25, 2010, to determine the congressional vote preference of the American voters.15 The
Lisa [10]

Answer:

p ( x > 2746 ) = p ( z > - 1.4552 )

                      = 1 - 0.072806

                      = 0.9272

This shows that there is > 92% of a republican candidate winning the election hence I will advice Gallup to declare the Republican candidate winner

Step-by-step explanation:

Given data:

51% of male voters preferred a Republican candidate

sample size = 5490

To win the vote one needs ≈ 2746 votes

In order to advice Gallup appropriately lets consider this as a binomial distribution

n = 5490

p = 0.51

q = 1 - 0.51 = 0.49

Hence n_{p} > 5  while n_{q}  < 5

we will consider it as a normal distribution

From the question :

number of male voters who prefer republican candidate  ( mean ) ( u )

= 0.51 * 5490 = 2799.9

std = \sqrt{npq} = \sqrt{5490 * 0.51 *0.49} = 37.0399  ---- ( 1 )

determine the Z-score = (x - u ) / std  ---- ( 2 )

x = 2746 , u = 2799.9 , std = 37.0399

hence Z - score = - 1.4552

hence

p ( x > 2746 ) = p ( z > - 1.4552 )

                      = 1 - 0.072806

                      = 0.9272

This shows that there is > 92% of a republican candidate winning the election hence I will advice Gallup to declare the Republican candidate winner

7 0
2 years ago
PLEASE HELP (20 POINTS)
Paul [167]

Answer:

option b

Step-by-step explanation:

you can't take out anything, not an x or a 2

6 0
3 years ago
What is the slope of the graph
denpristay [2]

Answer:

1/3

Step-by-step explanation:

The slope increases by 1/3.

The slope formula is y2-y1/x2-x1.

When you plug in the points and simplify, you get 1/3.

6 0
2 years ago
Other questions:
  • Serena bought 4 packs of pencils and 12 notebooks
    11·2 answers
  • 11 more than five of a certain number is twenty more than 2 times of that number. What is the number
    13·1 answer
  • Count by ones from 368 to 500 change fot a larger unit when necessary
    9·1 answer
  • Can someone show me the steps to doing this ?
    13·1 answer
  • A ramp 28 ft long rises to a platform. the bottom of the platform is 15 ft from the foot of the ramp. find x , the angle of elev
    8·1 answer
  • Rewrite the equation by completing the square.<br> x^2 +7x +12 = 0
    9·1 answer
  • Partially correct answer. Your answer is partially correct. Try again. Suppose that f left-parenthesis x right-parenthesis equal
    7·1 answer
  • Find the value of x in the triangle shown below.<br><br> X=____<br><br> Please help!!
    14·2 answers
  • (6x^4 y^8)^3 over 4x^4 y^10​<br><br>its urgent no links pls
    10·1 answer
  • What is the volume of a triangle with a radius of 5 and a height of 6
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!