To make sure we don't have negatives under the square root, we specify that
![x \ge 0](https://tex.z-dn.net/?f=x%20%5Cge%200)
(x is greater than or equal to 0). We'll use this fact later on
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Start with the given inequality
![\sqrt{x} \le 7](https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D%20%5Cle%207)
and square both sides to get
![x \le 49](https://tex.z-dn.net/?f=x%20%5Cle%2049)
. Couple this with the fact that
![x \ge 0](https://tex.z-dn.net/?f=x%20%5Cge%200)
means we have this compound inequality
![0 \le x \le 49](https://tex.z-dn.net/?f=0%20%5Cle%20x%20%5Cle%2049)
What does this mean? It means that we can pick any value from 0 to 49 (including both endpoints) and it will be a solution to the inequality. This applies to the values
49, 48 and 44Answers: Choice C, Choice D, Choice E
C. 52
Work:
(5x - 22) + (4x + 4) = 90
9x - 18 = 90
9x = 108
x = 12
4(12) + 4 =
48 + 4 = 52
Answer:
2 numbers could be 10 and 12
or - 12 and - 10
Step-by-step explanation:
let the 2 numbers be x and x + 2
since they are 2 consecutive even numbers, the difference between them is 2
the difference between the reciprocals is 1/60
we have to mulitply the 2 denominators x and (x+2) to get a common denominator for the 2 fractions
=
we can then remove the brackets from the numerator and denominator
and then cross multiply
60 * 2 = x² + 2x
120 = x² + 2x
x² + 2x - 120 = 0
we have a quadratic equation which needs to be solved
x² + 12x - 10x - 120 = 0
x (x + 12) - 10(x + 12) = 0
(x - 10) (x + 12) = 0
x - 10 = 0 or x + 12 = 0
x = 10 x = -12
Answer:
HEY MATE I HAVE THE SAME QUESTION IN MY SCHOOL AND I HAVE SOLVED IT SO PLZ MARK ME BRAINLIEST.
Step-by-step explanation:
In a right triangle its sides can go with a^2+b^2= c^2
Then a^2+ 8^2= 17^2. a=15 (missing side)
Now 5^2+ 15^2= x^2
250=x^2 ------> 5 square root of 10=x answer b
Answer:
7.07 i believe since 10 divided by 2 sqr root is 7.07, and AC and CA are equal
Step-by-step explanation: