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Luda [366]
4 years ago
8

Two joggers run 8 miles north and then 5 miles west. What is the shortest distance they must travel to return to their starting

point?
Mathematics
1 answer:
elena-14-01-66 [18.8K]4 years ago
7 0
Imagine the paths as a right triangle with one leg measuring 8 miles and the other 5. You need to find the hypotenuse using the pythagorean theorem, so take 8 squared + 5 squared equals x squared, which gives you 64+25=89, then find the square root of 89 which is 9.433981132
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Please help and explain. The question is in the picture below.
Murrr4er [49]

Answer:

D and yes

Step-by-step explanation:

\frac{x}{4} + 1 = -3  If we multiply both sides of the equation by 4 will will get the second equation

(4) \frac{x}{4}+ (4) 1 = (4) -3

x + 4 = -12  We solve this for x by subtracting 4 from both sides.

x = -16  

Plug -7 into both equations and you will see that it is a solution

\frac{x}{4} + 1 = -3

\frac{-16}{4} + 1 = -3

-4 + 1 = -3

-3 = -3

x + 4 = =12

-16 + 4 = -12

-12 - -12

7 0
2 years ago
What is the value of 6 (2b-4) When b=5
e-lub [12.9K]

Answer:

36

Step-by-step explanation:

Replace the 2b with 10 and then do the parenthesis, so 10-4=6

now multiply it with the 6 outside the parenthesis and you get 36

7 0
3 years ago
Read 2 more answers
35/4 sq. meters minus 7/2 sq. meters
soldi70 [24.7K]
The answer is 5.25 cm2
5 0
3 years ago
Y=x<br> y=-6x–14<br><br> (substitution method)
olga_2 [115]

Answer:

The solution is the point (-2,-2)

Step-by-step explanation:

we have

y=x ----> equation A

y=-6x-14 ----> equation B

Solve the system by substitution

substitute equation A in equation B

x=-6x-14

Solve for x

6x+x=-14\\7x=-14\\x=-2

Find the value of y

substitute the value of x in the equation A

y=x

so

y=-2

therefore

The solution is the point (-2,-2)

3 0
4 years ago
A medical study investigated the effect of calcium and vitamin supplements on the risk of older Americans for broken bones. A to
Korolek [52]

Answer:

Fraction of older Americans who were included in the study and suffered broken bones during the three-year period = (37/389) = 0.0951

Step-by-step explanation:

The fraction of older Americans who were included in the study and suffered broken bones during the three-year period?

This fraction = (Number of older Americans who suffered broken bones recorded during the three year period of the study)/(Total number of older Americans involved in the study)

Number of older Americans who suffered broken bones recorded during the three year period of the study = (11 from those that took the additional supplements) + (26 from those that did not take additional supplements) = 11 + 26 = 37

Total number of older Americans involved in the study = 389

Fraction of older Americans who were included in the study and suffered broken bones during the three-year period = (37/389) = 0.0951

7 0
3 years ago
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