What are you suppose to do - solve it or reduce it?
Answer:
-3
Step-by-step explanation:
The length of a segment is
sqrt( ( y2-y1)^2 + (x2-x1) ^2) = 2 sqrt(10)
sqrt( ( a-4 - -1)^2 + (2a -4) ^2) = 2 sqrt(10)
sqrt( ( a-4 +1)^2 + (2a -4) ^2) = 2 sqrt(10)
Combine like terms
sqrt( ( a-3)^2 + (2a -4) ^2) = 2 sqrt(10)
Square each side
( a-3)^2 + (2a -4) ^2) = 4 *(10)
FOIL the left side
a^2 -6a +9 + 4a^2 -16a +16 = 40
Combine like terms
5a^2 -22a +25 = 40
Subtract 40 from each side
5a^2 -22a -15 =0
Factor
(a - 5) (5 a + 3) = 0
Using the zero product property
a-5 =0 5a +3 = 0
a = 5 5a = -3
a=5 a = -3/5
The product of the terms is
5 * -3/5 = -3
She will be paid $2,240.
The equation to use for this is: A=P(1+rt)
More specifically:
A = 2000(1 + (0.02 × 6)) = 2240
A = $2,240.00
Answer:
Step-by-step explanation:
a) The probability that the hand contains exactly one ace
No of ways of selecting one ace and four non ace would be
=
i.e. α=778320
b) the probability that the hand is a flush
No of ways of getting a flush is either all 5 hearts or clubs of spades or dice
= 
ie. β=5148
c) the probability that the hand is a straight flush
In each of the suit to get a straight flush we must have either A,2,3,4,5 or 2,3,4,5,6, or .... or 9,10, J, q, K
So total no of ways = 
γ=46332
Answer:
Step-by-step explanation:
We proceed to show the procedure to calculate the given fraction into a decimal form:
1) Since numerator is less than denominator, the integer component of the decimal number is zero:

2) We multiply the numerator by 10 and find the tenth digit:

Then,

3) We multiply the fraction in 2) by 10 and find the hundredth digit:

Then,
And the remainder is:


4) We multiply the remainder by 10 and divide this result by the denominator to determine the thousandth digit:

Then,

This question asks us to write a decimal correct to 2 decimal places, which has the characteristic that is infinite periodical decimal. Then, the result correct to 2 decimal places is: