Are there any answer choices?
Answer:
2 real solutions
Step-by-step explanation:
We can use the determinant, which says that for a quadratic of the form ax² + bx + c, we can determine what kind of solutions it has by looking at the determinant of the form:
b² - 4ac
If b² - 4ac > 0, then there are 2 real solutions. If b² - 4ac = 0, then there is 1 real solution. If b² - 4ac < 0, then there are 2 imaginary solutions.
Here, a = 6, b = -20, and c = 1. So, plug these into the determinant formula:
b² - 4ac
(-20)² - 4 * 6 * 1 = 400 - 24 = 376
Since 376 is clearly greater than 0, we know this quadratic has 2 real solutions.
<em>~ an aesthetics lover</em>
-7 to make 4 so -4x=4 x=-1
The answer is x=-1
Hope this helps:)
Answer:
The first ship has the same speed as Saige's ship while the second and third do not have the same speed.
Step-by-step explanation:
d = Distance traveled by Saige's spaceship = 588 km
t = Time taken = 60 seconds
Speed is given by
![s=\dfrac{d}{t}\\\Rightarrow s=\dfrac{588}{60}\\\Rightarrow s=9.8\ \text{km/s}](https://tex.z-dn.net/?f=s%3D%5Cdfrac%7Bd%7D%7Bt%7D%5C%5C%5CRightarrow%20s%3D%5Cdfrac%7B588%7D%7B60%7D%5C%5C%5CRightarrow%20s%3D9.8%5C%20%5Ctext%7Bkm%2Fs%7D)
The other ships
![s=\dfrac{441}{45}=9.8\ \text{km/s}](https://tex.z-dn.net/?f=s%3D%5Cdfrac%7B441%7D%7B45%7D%3D9.8%5C%20%5Ctext%7Bkm%2Fs%7D)
![s=\dfrac{215}{25}=8.6\ \text{km/s}](https://tex.z-dn.net/?f=s%3D%5Cdfrac%7B215%7D%7B25%7D%3D8.6%5C%20%5Ctext%7Bkm%2Fs%7D)
![s=\dfrac{649}{110}=5.9\ \text{km/s}](https://tex.z-dn.net/?f=s%3D%5Cdfrac%7B649%7D%7B110%7D%3D5.9%5C%20%5Ctext%7Bkm%2Fs%7D)
So, the first ship has the same speed as Saige's ship while the second and third do not have the same speed.
Answer:
78 m^2 Unless I got some of the measurements wrong, kinda hard to see them.
Step-by-step explanation:
The surface area will be the sum of the area of each face. so lets see, there is the base (in this orientation) which is a 8x3 rectangle it looks like.
then two trianglular sides with both having a base of 8 and height of 3
then two "roof" pieceswhich are rectangles again, one side of 3 and the other 5.
Now we add each face up.
rectangular base = 3x8 = 24
2 triangular sides = 2(.5*8*3) = 24
2 rectangular roof pieces = 2(5*3) = 30
Now add it all up
24+24+30 = 78