Answer:
4 x 10^8
Step-by-step explanation:
0.0001 x 4,000,000,000,000 = 400,000,000
400,000,000 = 4 x 10^8
Answer:
expanded it would be 0.05 x 50 + 0.05 x 40
Step-by-step explanation:
N/4 < -1 — we can multiply both sides with 4, so we dont have to deal with fractions.
N < -4
So, our N goes left from -4 on a number line.
-10x<-100 — divide both sides by 10
-x < -10
x > 10
X is from 10 rightwards.
5x>20 — divide both sides by 5
x > 4
X is rightwards from 4.
Assume that the initial coordinates are (x,y) and that the dilated coordinates are (x',y').
The dilation is therefore:
(x,y) ............> (x',y')
Now, let's assume that the dilation factor is k.
Therefore:
x' = kx
y' = ky
Based on the above, all the student has to do is get the initial coordinates and the final ones and then substitute in any of the above two equations to get the value of k.
Example:
Assume an original point at (2,4) is dilated to coordinates (4,8). Find the dilation factor.
Assume the dilation coefficient is k.
(x,y) are (2,4) and (x',y') are (4,8)
Therefore:
x' = kx .........> 4 = k*2 ..........> k = 2
or:
y' = ky ..........> 8 = k*4 .........> k = 2
Based on the above, the dilation coefficient would be 2.
Hope this helps :)
Answer:
Step-by-step explanation:
Convert the mixed number into an improper fraction:
Now convert fractions so that their denominators are the same:
As the denominators are now the same, we can simply add the numerators:
Now convert back into a mixed number (if required):
