The ball takes approximately a time of 2.041 seconds to reach its maximum height.
<h3>What time does the ball take to reach maximum height?</h3>
The height of the ball as a function of time is modelled by a <em>quadratic</em> equation, the required information can be found by transforming the expression into <em>vertex</em> form:
h = - 4.9 · t² + 20 · t + 12
h = - 4.9 · (t² - 4.082 · t - 2.449)
h + (- 4.9) · (6.615) = - 4.9 · (t² - 4.082 · t + 4.166)
h - 32.414 = - 4.9 · (t - 2.041)²
The ball takes approximately a time of 2.041 seconds to reach its maximum height.
To learn more on quadratic equations: brainly.com/question/1863222
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Answer:
See attachment
Step-by-step explanation:
We want to graph the system
2x+y=8
-x+2y=6
Let us rewrite the lines in slope intercept form:
y=-2x+8
The first line has a slope of -2 and a y-intercept of 8
The second line has a slope of 1/2 and a y-intercept of 3
We can no graph the lines as shown in the attachment.
Converting to vertex form is one way of doing this
2x^2 + 12x + 19
= 2(x^2 + 6x) + 19
= 2 [ x + 3)^2 - 9] + 19
= 2(x + 3)^2 - 18 + 19
= 2(x + 3)^2 + 1
the minimum value is 1
Hi there! So you have -3 and -1 as the x coordinates. Just forget about the negatives and make them positive. The answer will be the same. So 3-1 because difference means subtract. 2. 2 is the x coordinate. Same with the y coordinate. Drop the negative. 2-2=0. So your y coordinate is 0. So the final answer is (2,0). Let me know if you still don't understand :)
