You move the decimal 6 places to the right: 1986000
Complete Question:
Kyle held a balloon 8 feet off the ground, straight above his head. Ava is standing 15 feet directly to the right of Kyle.
Write an equation using the Pythagorean Theorem to find the value of x.
How far are Ava's feet from the balloon?
Answer:
Ava's feet is 17ft away from the balloon
Step-by-step explanation:
Given
The attached image represents the scenario
Using Pythagoras theorem (from the attachment), we have:
Take square roots of both sides
Answer:
x = 1.2
y = 6.6
Step-by-step explanation:
1) y= -2x+9
2) 8x-3=y
Substitute y in equation 1 using y in equation 2.
8x - 3 = -2x + 9
+ 3 on both sides
8x = -2x + 12
+ 2x on both sides
10x = 12
x = 1.2
To find y, plug in x
8x - 3 = y
9.6 - 3 = y
6.6 = y
Hope this helps :)
4 batches:
2/3 • 4 = 8/3
2/3 + 2/3 + 2/3 + 2/3 = 8/3
2/3 = 0.666666666666667
0.666666666666667 • 4 = 2.666666666666667
8/3 = 2.666666666666667
Multiply the first equation by -2. It turns into 4x+18y=50 and the other one stays -4x-9y=-23. Then you "eliminate" the equations by "adding" them. Set it up like this:
4x+18y=50
+
-4x-9y=-23
4x-4x= 0. 18y-9y= 9y and 50-23= 27
SO: 9y= 27 and y= 3
And then you plug that in to one equation: 4x +18(3)= 50. 4x= 50-(18*3)
4x= -4, so x=-1.
Plug it back in to check!
Hope this helps. Happy solving! :)
