Answer:
(7√6)/2
Step-by-step explanation:
The side ratios in these special triangles are ...
30°-60°-90° triangle: 1 : √3 : 2
45°-45°-90° triangle: 1 : 1 : √2
This tells you the length of the horizontal line is 7√3, and the value of x is ...
(7√3)/√2 = (7√6)/2
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<em>Additional comment</em>
Call the length of the horizontal line "y". Then the given ratios tell you ...
7 : y = 1 : √3 ⇒ y/7 = √3/1 ⇒ y = 7√3
and
x : y = 1 : √2 ⇒ x/y = 1/√2 ⇒ x = y/√2
When we rationalize the denominator, we get ...
x = (y√2)/2 = ((7√3)√2)/2 = (7√6)/2
29% all you have to do is divide
32/112
I believe the answer is -27t - 4
Because the second derivative of the function at the point is negative, the graph must be concave down at this point. Because the first derivative indicates that the function is also likely to be a maximum or minimum, the point must be a maximum.
Answer:
Step-by-step explanation:
Both equations have -7y. You can eliminate them by subtracting one equation from the other:
Multiply equation 1 by -1, then add it to equation 2:
-2x + 7y = 74
3x - 7y = -83
———————
x = -9
2x - 7y = -74
2(-9) - 7y = -74
-7y = -56
Y = 8
(x,y) = (-9, 8)
