"They have different slopes but the same y-intercept, so they have one solution" is the statement which best describes the two lines.
Answer: Option D
<u>Step-by-step explanation:</u>
Given equations:
![y=\left(\frac{1}{2} \times x\right)-3](https://tex.z-dn.net/?f=y%3D%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20x%5Cright%29-3)
![y=\left(-\frac{1}{2} \times x\right)-3](https://tex.z-dn.net/?f=y%3D%5Cleft%28-%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20x%5Cright%29-3)
As we know that the slope intercept form of a line is
y = m x + c
So, from equation 1 and equation 2 we can see that
![m_{1}=\frac{1}{2} \quad \text { and } c_{1}=-3](https://tex.z-dn.net/?f=m_%7B1%7D%3D%5Cfrac%7B1%7D%7B2%7D%20%5Cquad%20%5Ctext%20%7B%20and%20%7D%20c_%7B1%7D%3D-3)
![m_{2}=-\frac{1}{2} \text { and } c_{2}=-3](https://tex.z-dn.net/?f=m_%7B2%7D%3D-%5Cfrac%7B1%7D%7B2%7D%20%5Ctext%20%7B%20and%20%7D%20c_%7B2%7D%3D-3)
So, from the above expressions, we can say that both lines have different slopes but have same y – intercept with one common solution when x = 0.
Answer:
5/8
Step-by-step explanation:
9514 1404 393
Answer:
2.20×10^10 km³
Step-by-step explanation:
The formulas for area (A) and volume (V) of a sphere are ...
A = 4πr²
V = 4/3πr³ = (r/3)A
The radius can be found from the area as ...
r = √(A/(4π)) = (1/2)√(A/π)
Then the volume in terms of the area is ...
V = (1/3)(1/2)√(A/π) · A = A^(3/2)/(6√π)
Filling in the given value of area, we find the volume to be ...
V = (3.7959×10^7)^(3/2)/(6√π) ≈ 2.1991×10^10 . . . . km³
Rounded to 3 significant figures, the volume of the moon is about ...
V ≈ 2.20×10^10 km³