Answer:
x = 
Step-by-step explanation:
Use Pythagorean theorem,
Hypotenuse² = base² + altitude²
x² = (√8)² + 4²
= 8 + 16
= 20
x = √20 = 
x =
C. y coordinates equal the gas pack
Let the number of large bookcases be x and number of small bookcases be y, then
Maximise P = 80x + 50y;
subkect to:
6x + 2y ≤ 24
x, y ≥ 2
The corner points are (2, 2), (2, 6), (3.333, 2)
For (2, 2): P = 80(2) + 50(2) = 160 + 100 = 260
For (2, 6): P = 80(2) + 50(6) = 160 + 300 = 460
For (3.333, 2): P = 80(3.333) + 50(2) = 266.67 + 100 = 366.67
Therefore, for maximum profit, he should produce 2 large bookcases and 6 small bookcases.
To convert a quadratic<span> from y = ax</span>2<span> + bx + c </span>form<span> to </span>vertex form, y = a(x - h)2<span>+ k, you use the process of completing the square. We do as follows:
</span><span>f(x) = 2x^2 + 28x – 5
</span><span>f(x) = 2(x^2 + 14x) – 5
</span>f(x) = 2(x^2 + 14x + 49) – 5 - 98
f(x) = 2(x + 7)^2 – 103
Hope this answers the question. Have a nice day.
Answer:14
Step-by-step explanation:
diameter = 2 times radius
so we got
7x2=14
