You can use Pythagoras theorem to find the radius.
r^2 + 8^2 = 10^2
r^2 + 64 = 100
r^2 = 36
r = 6
Parallel means the slopes are the same
Perpendicular means they have opposite reciprocal slopes.
We can apply these concepts to this question. Although they are opposites of each other, they are not reciprocals.
So, the answer is neither
Hope this helps!
4. is correct
5. A is correct
6. B is correct
Dividing a whole number and an improper fraction seems tricky, but it just has one or two more steps than the normal process. First, convert the whole number "9" into a fraction by giving it a denominator of "1". It should look like 9/1. Now that both numbers are converted into like formats (improper fractions), you should have 9/1 divided by 5/3.
Second, flip 5/3 over into 3/5 - this is the "reciprocal". Now you have 9/1 divided by 3/5. It's just a matter of multiplying across the math sentence. Multiply the numerators (9x3) and the denominators (1 x 5). Your new fraction should be 27/5. This is your answer in the improper fraction format.
You can create other formats depending on the expected answer. For a mixed number, "divide your fraction UP" (27 divided by 5) which gives you 5 and 2/5. This can be further converted into 5.4 if you need your answer in decimal form.
