Answer:
10.3
Step-by-step explanation:
As we move from (-3,-6) to (2,3), x increases by 5 (this is the horizontal distance between (2,3) and (-3,-6) ) and y decreases by 9 (vertical distance).
We apply the Pythagorean Theorem here:
d^2 = x^2 + y^2, or
d^2 = (5)^2 + (-9)^2 = 25 + 81 = 106
Thus, the distance between (2,3) and (-3,-6) is d = sqrt(106), or approx.
10.3.
The ratios 84/105 and 128/160 are proportional
<u>Solution:</u>
Given, two ratios are
and 
We have to give two different reasons to support the answer.
<em><u>Reason 1:</u></em>
Now, we know that, numerators and denominators should be proportional to be two fractions in proportion.

So numerators and denominators are in proportion, then given two fractions are proportion.
<em><u>Reason 2:</u></em>
Now, values of two fractions must be equal:

So, values of two fractions are equal, then they are in proportion.
Hence, the given two fractions are in proportion.
Answer:
A = $1311 and 96cents
Step-by-step explanation:

P = $1200
r = 1.8% = 0.018
n = 1 (compounded yearly)
t = 5

Improper fraction 8517/1000 and as the mixed number 8 and 517/1000