<span>The inverse of this statement would be If a number does not have exactly two distinct factors, then the number is not prime. The inverse of a mathematical statement is basically the opposite of the statement provided, which is also known as negating.</span>
The quadratic model is given by:
y = ax2 + bx + c
We evaluate three points to find the values of a, b and c.
We have then:
For (0, 200):
200 = a (0) 2 + b (0) + c
c = 200
For (0.5, 195):
195 = a * (0.5) ^ 2 + b * (0.5) +200
195-200 = a * (0.5) ^ 2 + b * (0.5)
-5 = 0.25a + 0.5b
For (1, 185):
185 = a * (1) ^ 2 + b * (1) +200
185-200 = a * (1) ^ 2 + b * (1)
-15 = a + b
Solving the system:
-5 = 0.25a + 0.5b
-15 = a + b
We have the following results:
a = -10
b = -5
Substituting:
y = -10x ^ 2 - 5x + 200
For x = 3 we have:
y = -10 (3) ^ 2 - 5 (3) + 200
y = - 90 - 15 + 200
y = 95
Answer:
the height at 3 seconds is:
y = 95 feet
$3.41 $.93 / 6 = .155. then multiply .155 by 22 = $3.41
9514 1404 393
Answer:
14. 53.1°
16. 253.7°
Step-by-step explanation:
14. The measure of angle L can be found from the cosine relation:
Cos = Adjacent/Hypotenuse
cos(L) = 9/15 = 3/5
L = arccos(3/5) = 53.1° . . . arc MK
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16. Arc MK is half of arc JK, so that arc is 106.3°. The long arc JPK is the difference between 360° and the measure of the short arc JK.
360° -106.3° = 253.7° . . . arc JPK
