Answer: x = 14.43
Step-by-step explanation:
The Pythagorean Theorem states the following:
a^2 + b^2 = c^2
Make one side of the triangle x
Make the second side of the triangle 2x
Now, you can plug the values into the equation, right?
x^2 + 2x^2 = 25^2 or 625
3x^2 = 625
Divide each side by 3 and you are left with:
x^2 = 208.33
Now, take the square root of 208.33
x = 14.43
That is the shorter side. The longer side is twice that value: Therefore, 14.43 x 2 = 28.86 14.43 is one side of the triangle. The other is that same value times two. Therefore, the sides of your triangle are: 14.43 Shorter side 28.86 Longer side
Let the distance be x miles
Time = Distance / speed
Time taken by Mike to go to his friend's house = x / 40 hours
Time taken by him to return = x / 45 hours
Total time = x / 40 + x / 45 = 4 hours
= 9x + 8x = 1440 miles
17x = 1440
= x = 1440 ÷ 7
= x = 84.706
Time taken to return home = 84.706 /45= 1.882 hours .
Therefore , Mike took 1.882 hours to reach home .
Answer:
x = -10
y = 13
Step-by-step explanation:
-3x + 2y = 56
-5x - 2y = 24
__________ +
-8x____ = 80
x______= 80/-8
______x = -10
-3x + 2y = 56
-3(-10) + 2y = 56
30 + 2y = 56
2y = 56 - 30
2y = 26
y = 26/2
y = 13
10×4,000=40,000 because all u do is add an extra zero everything you multiple something by ten
3x-7=-2-6
3x=-2-6+7
3x=-1
X=-3
