D) i think
, all values of x that are greater than equal to 1
7
8
Answer:
8 cm
Step-by-step explanation:
the 3 cm line from the chord to the center of a circle is a leg of a right triangle which perpendicularly bisects the chord into two equal halves
draw the hypotenuse of the right triangle from the center of the circle to the endpoint of the chord. This is a radius measuring 5 cm.
find the missing leg of the right triangle
a^2= c^2- b^2
a^2= 25-9
a^2=16
a=4
this is only the measurement of half the chord. To find the full length of the chord multiply by two
4*2=8 cm
Answer:
Quadratic Equation:
![3x^2=2x +5](https://tex.z-dn.net/?f=3x%5E2%3D2x%20%2B5)
![\text{Standard Form: } 3x^2-2x-5=0](https://tex.z-dn.net/?f=%5Ctext%7BStandard%20Form%3A%20%7D%203x%5E2-2x-5%3D0)
From the standard form of a Quadratic Function, we get:
![a=3,\:b=-2,\:c=-5](https://tex.z-dn.net/?f=a%3D3%2C%5C%3Ab%3D-2%2C%5C%3Ac%3D-5)
Discriminant:
![\Delta=\left(-2\right)^2-4\cdot \:3\left(-5\right)](https://tex.z-dn.net/?f=%5CDelta%3D%5Cleft%28-2%5Cright%29%5E2-4%5Ccdot%20%5C%3A3%5Cleft%28-5%5Cright%29)
![\Delta=\left(-2\right)^2+4\cdot \:3\cdot \:5](https://tex.z-dn.net/?f=%5CDelta%3D%5Cleft%28-2%5Cright%29%5E2%2B4%5Ccdot%20%5C%3A3%5Ccdot%20%5C%3A5)
![\Delta=64](https://tex.z-dn.net/?f=%5CDelta%3D64)
From the discriminant, we conclude that the equation will have two real solutions.
State that:
![b^2-4ac](https://tex.z-dn.net/?f=b%5E2-4ac%20%3C0%3A%5Ctext%7BThe%20equation%20has%20no%20real%20solutions%2C%20the%20solutions%20are%20complex%7D)
![b^2-4ac =0:\text{The equation has 1 real solution}](https://tex.z-dn.net/?f=b%5E2-4ac%20%3D0%3A%5Ctext%7BThe%20equation%20has%201%20real%20solution%7D)
![b^2-4ac >0:\text{The equation has 2 real solutions}](https://tex.z-dn.net/?f=b%5E2-4ac%20%3E0%3A%5Ctext%7BThe%20equation%20has%202%20real%20solutions%7D)
By the way, solving the equation given:
![$x=\frac{2\pm\sqrt{64}}{2\cdot \:3}$](https://tex.z-dn.net/?f=%24x%3D%5Cfrac%7B2%5Cpm%5Csqrt%7B64%7D%7D%7B2%5Ccdot%20%5C%3A3%7D%24)
![$x=\frac{2\pm\sqrt{64}}{6}$](https://tex.z-dn.net/?f=%24x%3D%5Cfrac%7B2%5Cpm%5Csqrt%7B64%7D%7D%7B6%7D%24)
![$x=\frac{2\pm8}{6}$](https://tex.z-dn.net/?f=%24x%3D%5Cfrac%7B2%5Cpm8%7D%7B6%7D%24)
![$x_{1} =\frac{10}{6}=\frac{5}{3} $](https://tex.z-dn.net/?f=%24x_%7B1%7D%20%3D%5Cfrac%7B10%7D%7B6%7D%3D%5Cfrac%7B5%7D%7B3%7D%20%20%24)
![$x_{2}=\frac{-6}{6} =-1$](https://tex.z-dn.net/?f=%24x_%7B2%7D%3D%5Cfrac%7B-6%7D%7B6%7D%20%3D-1%24)
--Answer--
It's in the picture, desmos will help for graphing.
Answer:
1000002
Step-by-step explanation: