(x + 2)² - 10 = 0 (assuming it's equal to zero)
Expand the binomial: (x + y)² = x² + 2xy + y²
Thus, x² + 4x + 4 - 10 = 0
x² + 4x - 6 = 0
(by quadratic formula)
, since we're taking the positive solution.
Answer:
I think its C
Step-by-step explanation:
I could be wrong
Answer: 5/12
Step-by-step explanation: you first need to make the denominators of the fractions equivalent. The least common factor of 3 and 4 is 12. 3/4 becomes 9/12 and 1/3 becomes 4/12. Now you can subtract. 9/12 - 4/12 = 5/12
Answer:
Original number 26.
Step-by-step explanation:
xy - two-digit number
1) x + y = 8
2) Original two-digit number can be written as
10*x + y
3) If the digits interchanged yx,
then the new number can be written as
10*y + x
4) Double the original number is
2*(10*x + y)
5) New number is 10 more than double the original number
(10*y + x) - (2*(10*x + y)) = 10
6) Now we have the system of 2 equations:
x + y = 8
(10*y + x) - (2*(10*x + y)) = 10 -----> 10y + x - (20x + 2y) = 10 ---> 8y - 19x = 10
x = 8 - y
8y - 19(8 - y) = 10
8y - 152 +19y = 10
27y = 162
y = 6
x = 8 - y = 8 - 6 = 2
x = 2
So, x =2, y = 6.
Original number 26.
Check:
Original number 26.
New number 62.
Double of the original number = 2*26= 52.
New number is 10 more than double the original number :
62 - 52 = 10 True
Ok, so I'll make an example problem to show.
There's a forest in town and it's recorded that there are 5 bears and 100 squirrels in it.
First, you would make this a ratio so that would be 5:100. 5 being the bears and 100 being the squirrels.
To simplify it, just make it into a fraction. The first number, going from left to right, would be the numerator and 100 would be the denominator.
5
-----
100
To simplify, just divide by the greatest common factor which would be 5 in this case.
5 1
----- / 5 = ----
100 20
