Answer:
32\588585+++==+++=+=4858i234[oy45873569756308
Step-by-step explanation:
If <em>x</em>² + <em>y</em>² = 1, then <em>y</em> = ±√(1 - <em>x</em>²).
Let <em>f(x)</em> = |<em>x</em>| + |±√(1 - <em>x</em>²)| = |<em>x</em>| + √(1 - <em>x</em>²).
If <em>x</em> < 0, we have |<em>x</em>| = -<em>x</em> ; otherwise, if <em>x</em> ≥ 0, then |<em>x</em>| = <em>x</em>.
• Case 1: suppose <em>x</em> < 0. Then
<em>f(x)</em> = -<em>x</em> + √(1 - <em>x</em>²)
<em>f'(x)</em> = -1 - <em>x</em>/√(1 - <em>x</em>²) = 0 → <em>x</em> = -1/√2 → <em>y</em> = ±1/√2
• Case 2: suppose <em>x</em> ≥ 0. Then
<em>f(x)</em> = <em>x</em> + √(1 - <em>x</em>²)
<em>f'(x)</em> = 1 - <em>x</em>/√(1 - <em>x</em>²) = 0 → <em>x</em> = 1/√2 → <em>y</em> = ±1/√2
In either case, |<em>x</em>| = |<em>y</em>| = 1/√2, so the maximum value of their sum is 2/√2 = √2.
Answer for angle x = 28.07
Given b=8 and c=17,
Unknown leg = 15
∠O = 61.93
∠P= 28.07
Answer:
$200
Step-by-step explanation:
The formula for calculating interest = principal x interest rate x time
principal is the amount borrowed = $1250
interest rate = 4%
Time = amount of years the money is borrowed for
$1250 x 0.04 x 4 = $200
The answer is 720 mph, since we make time the x and distance y. We use the slope formula (y2 - y1)/(x2 - x1)
(179-23)/(17-4)
156 miles/13 mins
12 miles per min
Since the answer is in hours instead of minutes, we multiply 12 by 60 to get 720 mph
