Answer:
0 to StartFraction pi Over 2
Step-by-step explanation:
we know that
If the arc on a circle measures 85 degrees, then the measure of the central angle is also 85 degrees too
so
The central angle in degrees is within the range ![(0,90^o)](https://tex.z-dn.net/?f=%280%2C90%5Eo%29)
Convert to radians
Remember that
![\frac{\pi}{2}\ radians=90^o](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%7D%7B2%7D%5C%20radians%3D90%5Eo)
therefore
the range in radians is ![(0,\frac{\pi}{2})](https://tex.z-dn.net/?f=%280%2C%5Cfrac%7B%5Cpi%7D%7B2%7D%29)
0 to StartFraction pi Over 2
6.23+ -12.49 -2.6= 6.23+ -12.49+ -2.6
-6.26+-2.6= -8.86
Answer:
Range is {y | y ≥ –11}
Step-by-step explanation:
This is quadratic equation.
<em>A quadratic equation's range can be found if we find the vertex.</em>
For quadratic equations that have a positive number in front of
, it is upward opening and thus <u>all the numbers greater than or equal to the minimum value of vertex is the range.</u>
The formula for vertex of a parabola is:
Vertex = ![(-\frac{b}{2a}, f(-\frac{b}{2a})](https://tex.z-dn.net/?f=%28-%5Cfrac%7Bb%7D%7B2a%7D%2C%20f%28-%5Cfrac%7Bb%7D%7B2a%7D%29)
Where,
is the coefficient of ![x^{2}](https://tex.z-dn.net/?f=x%5E%7B2%7D)
is the coefficient of ![x](https://tex.z-dn.net/?f=x)
From our equation given,
and ![b=6](https://tex.z-dn.net/?f=b%3D6)
Now,
coordinate of vertex is ![x=-\frac{b}{2a}\\x=-\frac{6}{(2)(3)}\\x=-\frac{6}{6}\\x=-1](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7Bb%7D%7B2a%7D%5C%5Cx%3D-%5Cfrac%7B6%7D%7B%282%29%283%29%7D%5C%5Cx%3D-%5Cfrac%7B6%7D%7B6%7D%5C%5Cx%3D-1)
coordinate of the vertex IS THE MINIMUM VALUE that we want. We get this by plugging in the
value [
] into the equation. So we have:
![3(-1)^{2}+6(-1)-8\\=-11](https://tex.z-dn.net/?f=3%28-1%29%5E%7B2%7D%2B6%28-1%29-8%5C%5C%3D-11)
Hence, the range would be all numbers greater than or equal to
Third answer choice is the right one.
Am presuming you are asking for the length of each ribbon in feet.
5 of them = 2 yards.
1 of them = 2/5 = 0.4 yards.
But note 3 feet make 1 yard.
Therefore: 0.4 yards = 0.4 * 3 feet = 1.2 feet.
Answer:
y = 17x +128
Step-by-step explanation:
P1(-8,-8)
P2(-7,9)
Slope,
m = (y2-y1)/(x2-x1) = (9-(-8))/(-8-(-7)) = 17/(-1) = 17
The point-slope equation is
y-y1 = m(x+x1)
y-(-8) = 17(x-(-8))
y+8 = 17x + 136
y = 17x +128