Answer:
Step-by-step explanation:
The equation of line L is
We solve for y to get;
This line is mapped onto line M by a dilation centered at the origin with a scale factor of 3.
Line M will also have the same slope as line L.
Only the y-intercept will change.
The y-intercept of L is (0,-2).
The y-intercept of M will be (0,-6) because we multiplied each by 3.
The equation of line M is
Answer:
The mass of 3.13*10²³ molecules of carbon dioxide is 22.88 g.
Step-by-step explanation:
Avogadro's Number or Avogadro's Constant is the number of particles that make up a substance (usually atoms or molecules) and that can be found in the amount of one mole of said substance. Its value is 6.023*10²³ particles per mole and it applies to any substance.
Then you can apply the following rule of three: if 6.023*10²³ molecules are present in 1 mole, 3.13*10²³ molecules are present in how many moles?
moles= 0.52
Since the molar mass of carbon dioxide is 44 g / mole, then the following rule of three can be applied: if there are 44 g in 1 mole, how much mass is there in 0.52 moles?
mass= 22.88 g
<u><em>The mass of 3.13*10²³ molecules of carbon dioxide is 22.88 g.</em></u>
Answer:
<u>Option B. 11</u>
Step-by-step explanation:
See the attached figure
As the figure about an ellipse
So, The sum of distance between A and the foci will be equal the major axis
AB = 6 and the major axis = 17
∴ AB + AC = major axis
∴ 6 + AC = 17
∴ AC = 17 - 6 = 11
<u>So, the length of the blue line segment = 11</u>
Answer:
See below
Step-by-step explanation:
Here we need to prove that ,
Imagine a right angled triangle with one of its acute angle as .
And by Pythagoras theorem ,
Where the symbols have their usual meaning.
Now , taking LHS ,
Since LHS = RHS ,
Hence Proved !
I hope this helps.