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
Lena [83]
2 years ago
9

Two joggers run 12 miles north and then 5 miles west. What is the shortest distance they must travel to return to their starting

point
Mathematics
1 answer:
Lera25 [3.4K]2 years ago
3 0

Answer:

13 miles

Step-by-step explanation:

It may be easier to use a diagram but I am going to try my best to explain without one.

Picture their journey north as one side of a right angle triangle (a). Now picture their journey west as another side (b).

The shortest journey back is the hypotenuse of the triangle (c).

Using pythagoras you can work out the answer

a^{2} + b^{2}  = c^{2}

5^{2} + 12^{2}  = c^{2}\\25 + 144 = c^{2} \\\\169 = c^{2}\\\sqrt{169}  = c^{2}  \\13 = c^{2}

You might be interested in
Which equation represents a true sine ratio in triangle ABC
ArbitrLikvidat [17]

Answer:

sin(A)=\frac{h}{c}

Step-by-step explanation:

we know that

The value of sine of an angle in a right triangle is equal to the opposite side of the angle divided by the hypotenuse

so

sin(A)=\frac{h}{c}

6 0
3 years ago
Given the function f(x)=3+1/8x find a formula for the inverse function
Goshia [24]
F-1(x) = 8x - 24

You can get this by switching the x and f(x) and then solving for f(x) 

f(x) = 3 + 1/8x ---> now switch them
x = 3 + 1/8f(x) ---> now subtract 3 from both sides
x - 3 = 1/8f(x) ---> now multiply both sides by 8
8x - 24 = f(x) ----> ANSWER
5 0
2 years ago
Given that (ax^2 + bx + 3) (x+d) = x^3 + 6x^2 + 11x + 12, it asks a + 2b - d = ?
astraxan [27]

Answer:

a+2b-d=1, 3, 5, 7

Step-by-step explanation:

(ax^2+bx+3)(x+d)

ax^3+bx^2+3x+adx^2+bdx+3d

ax^3+bx^2+adx^2+3x+bdx+3d=x^3+6x^2+11x+12

ax^3=x^3, a=1

bx^2+adx^2=6x^2

x^2(b+ad)=6x^2

b+ad=6

b+(1)d=6

b+d=6

------------

3x+bdx=11x

x(3+bd)=11x

3+bd=11

-----------------

b=6-d

3+(6-d)d=11

3+6d-d^2=11

3-11+6d-d^2=0

-8+6d-d^2=0

d^2-6d+8=0

factor out,

(d-4)(d-2)=0

zero property,

d-4=0, d-2=0

d=0+4=4,

d=0+2=2

b=6-4=2,

b=6-2=4.

------------------

a+2b-d=1+2(2)-2=1+4-2=5-2=3

-------------------

a+2(4)-4=1+8-4=9-4=5

-----------------------

a+2(2)-4=1+4-4=5-4=1

-----------------------

a+2(4)-2=1+8-2=9-2=7

5 0
3 years ago
Read 2 more answers
Compute the permutations and combinations. 4 P 4<br> A) 1<br> B) 4<br> C) 24
Elenna [48]
I belive the answer would be B if not im sorry
4 0
3 years ago
For which independent value do the equations generate the same dependent value? y1=6x-16 , y2=3x-10
Nikitich [7]
The question asks which x-value gives the same y-value for both equations, so if you need the ys to be equal, you can set both equations equal to each other, giving you 6x-16=3x-10. Now, solve for x. 6x-16=3x-10, subtract 3x and add 16, 3x=6, divide 3, x=2. Your answer is x=2.
7 0
3 years ago
Other questions:
  • Name the rule for each statement: (SSS, ASA, SAS, AAS) Hint: you may use some of the rules more than once. Two triangles are con
    10·1 answer
  • Can anyone help out with these two questions?
    13·1 answer
  • In a survey conducted in an office, 60% of the sample respondents agreed that employees should have flexible working hours.
    5·2 answers
  • Help me for a kith please
    8·2 answers
  • The length of human pregnancies from conception to birth varies according to a distribution that is approximately Normal with me
    14·1 answer
  • What is y= -2/3x + 5 written in standard form?
    5·2 answers
  • What is 3 minus -3 its for my homework plz help
    11·1 answer
  • What is the value of n in the equation below?<br> a<br> O 3<br> O 6<br> O 12<br> 0 27
    12·1 answer
  • A rowing team rowed 60 miles while going with the current in the same amount of time as it took to row 30 miles going against th
    5·2 answers
  • If 5 miles = 8 km, about how many miles would be equal to 66km?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!