Hold on I have that answer
Step-by-step explanation:
y = x² - 3x + 6
y = 2x + 6
y = y
x² - 3x + 6 = 2x + 6
x² - 5x = 0
x(x - 5) = 0
x = 0 and x = 5
y = 2x + 6 and y = 2x + 6
y = 2(0) + 6 and y = 2(5) + 6
y = 0 + 6 and y = 10 + 6
y = 6 and y = 16
(x1,y1) and (x2, y2) = (0,6) and (5,16)
Option → A
Answer:
(part A) A≈ 50.27m²
(part B) C≈4m
Hope this helps have a great rest of the day, or night!! :))
Answer: The equation is given by: 9- 1/3x = 7
Step-by-step explanation:
Let the number be denoted by x.
Now, we are given a word phrase as follows one-third of a number less than nine is equal to seven.
Now this word phrase could be mathematically expressed as a equation by: one third of x is 1/3 x
And this number less than 9 is given by :
9- 1/3x
Now, this number is equal to 7.
I.e. we finally have:
9- 1/3x = 7
Since a calculator is involved in finding the answer, it makes sense to me to use a calculator capable of adding vectors.
The airplane's ground speed is 158 mph, and its heading is 205.3°.
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A diagram can be helpful. You have enough information to determine two sides of a triangle and the angle between them. This makes using the Law of Cosines feasible for determining the resultant (r) of adding the two vectors.
.. r^2 = 165^2 +15^2 -2*165*15*cos(60°) = 24975
.. r = √24975 ≈ 158.03
Then the angle β between the plane's heading and its actual direction can be found from the Law of Sines
.. β = arcsin(15/158.03*sin(60°)) = 4.7°
Thus the actual direction of the airplane is 210° -4.7° = 205.3°.
The ground speed and course of the plane are 158 mph @ 205.3°.