Answer:
Step-by-step explanation:
amplitude of oscillation a = 12 / 2 = 6 inches.
time period T = 2 s
b = angular frequency = 2π / T
= 2π / 2
= π
so putting the values in the equation
d = a cos ( b t )
d = 6 cos ( π t )
If you multiply the top equation by -2 you get:
-4x -14y = 14 => -4x = 14+14y
now you can plug in the -4x into the second equation:
14+14y - 3y = -19 => 11y = -33 => y=-3
Fill in y=-3 in either equation to find x:
2x - 21 = -7 => 2x = 14 => x=7
So your ordered pair is (7,-3)
Answer:
C) 92, leg
Step-by-step explanation:
a² + 28² = 96² *the hypotenuse is always the longest side
a² + 784 = 9216
a² = 8432
a = √8432
'a' is approximately 92, and is a leg
The compound inequality to show the possible length of the third side is; 25 ≤ x +9+12≤ 30 and it's solution is; 4 ≤ x ≤ 9.
<h3>What is the compound inequality to represent the situation?</h3>
The required compound inequality as described in the task content in terms of the sum of all three sides is;
25 ≤ x +9+12≤ 30
25 -9 -12 ≤ x; 4 ≤ x.
x +9+12≤ 30
x ≤ 30 -9 -12
x ≤ 9
The compound solution is therefore; 4 ≤ x ≤ 9.
Read more on compound inequality;
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