Well the answer is 103,000 because when you round it the 1 becomes a 2
Sum of the series is <span>1,461,<span>460</span></span>
Answer:
C. sqrt((-3-6)² + (4+2)²)
Step-by-step explanation:
as we are using Pythagoras and asking for the distance as a side length (actually the Hypotenuse, the side opposite of the 90 degree angle) in a right-angled triangle, only an expression of a square root of a sum of squares can be right.
so, A and B are automatically out without even further analysis.
for the distance between 2 points on a coordination grid we build the mentioned right-angled triangle with the difference in x-direction as one side (e.g. "a"), the difference in y-direction as a second side (e.g. "b").
and the direct distance is then the Hypotenuse "c".
you remember Pythagoras :
c² = a² + b²
and therefore
c = sqrt(a² + b²)
in our example "a" is the difference between the 2 x-values.
a = (-3 - 6)
and "b" is the difference between the 2 y-values.
b = (4 - -2) = (4 + 2)
since we have to square them for the formula, the direction of what is subtracted from what is irrelevant, as the square of a negative value is also positive.
c = sqrt((-3 - 6)² + (4 + 2)²)
and that is answer option C
9514 1404 393
Answer:
24
Step-by-step explanation:
Let d represent Donald's age now. Then Natali's age now is d+38. The age relationship 5 years ago was ...
(d+38) -5 = 3(d -5)
d +33 = 3d -15 . . . . . eliminate parentheses
48 = 2d . . . . . . . . . . . add 15-d
24 = d . . . . . . . . . . . . . divide by 2
Donald is 24 years old now.
_____
<em>Alternate solution</em>
You can also work this by considering that 5 years ago, Natalie's age was more than Donald's age by twice Donald's age then. Hence Donald was 38/2 = 19 at that time. Now, Donald is 19+5 = 24.
Answer: true
Step-by-step explanation: