Answer: -3
Since the both equal the same value we can combine the into -8x-2=-6x+4.
From there you can solve from whatever side you want, and the answer is -3.
You have to find 1/3 of 24, so it is 8
The answer would be true.
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ans : A) y= 0.25x + 3
B) y= 0.25x - 4.5
C) y= 4x + 18
D) y= 4x - 42
The rate of change of the size of the diagonal is; 25.2 ft/s
By Pythagoras theorem;
The length, l of a diagonal of a rectangle whose sides have lengths x and y is;
In essence; the length of the diagonal is dependent on the length, x and y of the sides.
Therefore;
(dl/dt)² = (dx/dt)² + (dy/dt)²
where;
- (dx/dt) = 19 ft/s
- (dy/dt) = -15 ft/s
Therefore,
(dl/dt)² = 19² + (-15)²
(dl/dt)² = 361 + 225
dl/dt = √586
dl/dt = 25.2
Therefore, the size of the diagonal is changing at a rate of; 25.2 ft/s.
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