To get from the post office to the library, Sindy walked due north and then due east. The distance Sindy walked east is 20 meter
s more than the distance she walked north. If Sindy were able to walk directly from the post office to the library in a straight line, she would have walked 150 meters. Suppose x represents the distance Sindy walked north. Which equation can be used to find x?
x^2 (x 20)^2=150^2
202=x^2-150^2
x (x 20)=150
x^2 (x 150)^2=20^2
x^2 (x 20)^2=150^2
202=x^2-150^2
x (x 20)=150
x^2 (x 150)^2=20^2
2 answers:
Answer:
x² + (x + 20)² = 150²
Step-by-step explanation:
Sindy walked x meters in north and then x+20 meters toward east. If Sindy were able to walk directly from the post office to the library directly in a straight line, the distance she would have walked 150 meters.
Thus Sindy forms a right angle triangle as in the figure attached.
From Pythagoras theorem
x² + (x + 20)² = 150²
This is the equation we can use to find x.
You might be interested in
Answer:
20.
22.
24.
Step-by-step explanation:
20.
The GCF is x, so you group it out of the equation first.
Then, you find 2 numbers that will equal to 2 when you add them and will equal to -48 when you multiply them.
The two numbers would be -6 and 8. You then differentiate the squares.
22.
The GCF is 2, so you must group it out.
Find the two numbers that will equal to 5 when you add them and will equal to 4 when you multiply them.
The two numbers would be 1 and 4. Finally, differentiate the squares.
24.
The GCF is 5m, so you must group it out.
Find the two numbers that will equal to 6 when you add them and will equal to -7 when you multiply them.
The two numbers would be -1 and 7. Finally, differentiate the squares.