First, we need to transform the equation into its standard form (x - h)²=4p(y - k).
Using completing the square method:
y = -14x² - 2x - 2
y = -14(x² + 2x/14) - 2
y = -14(x² + 2x/14 + (2/28)²) -2 + (2/28)²
y = -14(x + 1/14)² - 391/196
-1/14(y + 391/196) = (x + 1/14)²
This is a vertical parabola and its focus <span>(h, k + p) is (-1/14, -391/196 + 1/56) = (-1/14, -775/392).
Or (-0.071,-1.977).</span>
Answers:
x = 6
y = 6*sqrt(2)
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Explanation:
To find these values, you can use the general template of a 45-45-90 triangle or you can use trig ratios
tan(45) = 1
tan(angle) = opposite/adjacent
tan(45) = x/6
1 = x/6
6*1 = x
x = 6
-------
sin(45) = 1/sqrt(2)
sin(angle) = opposite/hypotenuse
sin(45) = 6/y
1/sqrt(2) = 6/y
1*y = sqrt(2)*6
y = 6*sqrt(2)
The volume of this prism is: 240 cm3.
Because, in order to find the volume you have to do: V = w h l = 4 x 15 x 4 = 240.
(V = volume, w = width, h = height, and l = length)
Hope I helped!
- Amber
Answer:
The radius is 18 cm
Step-by-step explanation:
The formula for circumference with radius is
C = 2*pi*r
We know the circumference is 36 pi
36 pi = 2 * pi *r
Divide by pi
36 pi/pi = 2 * pi/pi *r
36 = 2r
Divide by 2
36/2 = 2r/2
18 = r
Answer:
Please see attachment
Step-by-step explanation:
Please see attachment
