Answer:
14 is blank
Step-by-step explanation:
and its the numerator of the fraction
Step-by-step explanation:
h = -490t² + 1470t
When h = 980:
980 = -490t² + 1470t
Simplifying:
0 = -490t² + 1470t - 980
0 = t² - 3t + 2
Factoring:
0 = (t - 1) (t - 2)
t = 1, 2
There are two solutions because the rocket first reaches the height of 980 cm as it's going up at 1 second, then it reaches that height again as it's coming down at 2 seconds.
The initial value of a function is the y value when x = 0. For the first function, you can plug in the value of x =0 and you'll get 2/3. Function 2 has an initial value of 3 (you can look at the table). Since 3 > 2/3, function 2 has a greater initial value.
Note: I'm guessing that the table refers to Function 2.
Answer:
A
Step-by-step explanation:
To convert degrees to radians
radian measure = degree measure × ![\frac{\pi }{180}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%7D%7B180%7D)
Hence
radian measure = 150° × ![\frac{\pi }{180}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%7D%7B180%7D)
Cancel both 150 and 180 by 30, then
radian measure = 5 ×
= ![\frac{5\pi }{6}](https://tex.z-dn.net/?f=%5Cfrac%7B5%5Cpi%20%7D%7B6%7D)
Answer:
<em>x² + 4y²+ 2x - 24y + 33 = 0
</em>
<em />
<em>= (x+1)² + 4(y-3)² - 1 - 36 + 33 = 0
</em>
<em>= (x+1)² + 4(y-3)² = 4</em>
<em />
<em>= (x + 1)²/2² + (y - 3)²/1² = 1</em>
<em></em>
<em>This is an Ellipse: C(-1,3)</em>
<em>The Standard Form of an Equation of an Ellipse is : </em><em>(x - h)²/a²/ (y - k)²/b² = 1</em>
<em></em>
<em>where Pt(h,k) is the center. </em><em>(a variable positioned to correspond with major axis)</em>
<em>a and b are the respective vertices distances from center</em>
<em>and√a² - b²are the foci distances from center: a > b</em>