Answer:
15.9778
≈ 16
Step-by-step explanation:
Formula= a² + b² = c²
7.7² + 14² = 255.29
√255.29 = 15.9778 or ≈16
<span>The answer has to be "n ≤ 6" because the greatest "n" CAN be is 6, so "n can=6", but it can also be smaller.</span>
<h3>Given</h3>
Two positive integers x and y
x - y = 4
x² + y = 68
<h3>Find</h3>
x and y
<h3>Solution</h3>
Add the two equations together.
... (x - y) + (x² + y) = (4) + (68)
... x² + x = 72
Rearrange to standard form and factor.
... x² + x - 72 = 0
... (x + 9)(x - 8) = 0
Use the zero product rule to find the solutions. That rule says the product is zero when one or more factors is zero.
... x + 9 = 0 ⇒ x = -9
... x - 8 = 0 ⇒ x = 8 . . . . . . the positive solution
Then we can find y from
... 8 - y = 4
... y = 4 . . . . . . . add y-4 to the equation
The two positive integers are 8 and 4.
Answer:
25 cm
Step-by-step explanation:
where r is the radius of the circle
Plug in the given radius (4 cm)
Therefore, the circumference of the opening is approximately 25 cm.
I hope this helps!
