First square both sides to get:
c + 22 = (c + 2)^2
or
c + 22 = c^2 + 4c + 4
Move the terms on the left side to the right side:
c^2 + 3c - 18 = 0
Factor to get:
(c + 6) * (c - 3) = 0.
The solutions are c = -6 and c = 3.
Check to see if these answers work by plugging them into the original equation:
c = -6:
sqrt (-6 + 22) ?= -6 + 2
But, -6 + 2 is a negative number, and you can't get a negative from a square root. So, -6 is extraneous.
c = 3:
sqrt (3 + 22) ?= 3 + 2
5 = 5. So, 3 works.
The answer is: B
Step-by-step explanation:
a = 5
b = -3
25 - -3/ -3 - 25
= 28 / -28
= -1
Answer: here the answer
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
the formula of the distance between
the point (p, q) and the line ax + by +c = 0 =>
d = |p.a + q.b +c| / √(a²+b²)
d = |5(-3)+5(-4)+10| / √[(-3)²+(-4)²]
= |(-15-20+10)|/√25
= |-25|/ 5
= 25/5
= 5
Answer:
Oriental and American cockroach
Step-by-step explanation:
The question is not complete. The complete question is:
The length of the oriental, American and Australian cockroaches are 3.432 cm, 3.576 cm and 3.583 cm respectively. Scientist measured a Madeira cockroach and found it to be 3.438 centimeters long. Between which two cockroaches would the Madeira cockroach belong?
Answer: From the question, the Australian cockroach is the longest cockroack with a length of 3.583 cm followed by the American cockroach of length 3.576 cm and lastly the Oriental cockroach of length 3.432 cm.
If the Madeira cockroach is to be placed, its length is greater than that of the Oriental cockroach but less than that of the American cockroach hence it would be placed between the Oriental and American cockroach. The lengths from lowest to highest is:
3.432 cm 3.438 cm 3.576 cm 3.583 cm
