Answer:
Step-by-step explanation:
Let the smaller number be 
. Since they are consecutive even numbers, the larger number can be represented by 
.
Therefore, we have the following equation:
Thus, the larger number is 
Answer:
to sell 7000 it took 10 weeks
it took 3 weeks to sell 210 books
Step-by-step explanation:
Answer:
Step-by-step explanation:
Question (1)
x² + 10x + 12
= x² + 2(5x) + 5² - 5² + 12
= [x² + 2(5x) + 5²] - 5² + 12
= (x + 5)² - 25 + 12 [Since, a² + 2ab + b² = (a + b)²]
= (x + 5)² - 13
Question (2)
y² - 6y - 15
= y² - 2(3y) - 15
= y² - 2(3y) + 3² - 3² - 15
= [y² - 2(3y) + 3²] - 3² - 15 [Since, a² - 2ab + b² = (a - b)²]
= (y - 3)² - 3²- 15
= (y - 3)² - 9 - 15
= (y - 3)² - 24
Answer:
2.36 * 10^13 miles
Step-by-step explanation:
Given that :
Proxima centauri is at a distance of 4.24 light years away from the sun.
Distance in miles of Proxima centauri from the sun ;
1 light year = 5.9 * 10^12 miles
Number of light years from the sun * 5.9 * 10^12
= 4 * (5.9 * 10^12)
= 23.6 * 10^12 miles
= 2.36 * 10^13 miles
Reflecting a point on the x axis is the same as performing the following transformation:
T -> (x, -y)
Applying the transformation we have
P (-3.2) ---> (x, -y) ----> p (-3, -2)
Therefore, the new point is
p (-3, -2)
answer
p (-3, -2)
