The absolute value of a number <em>a</em> is written as |a| . And represents the distance between a and 0 on a number line.
So, Option C. x≥ 11 or x ≤ 1 is correct answer
Inequality given is,
|x − 6| ≥ 5
Taking <em>positive case,</em>
x − 6 ≥ 5
x − 6 + 6 ≥ 5 + 6
x ≥ 11
Taking <em>negative case,</em>
x − 6 ≤ - 5
x - 6 + 6 ≤ -5 + 6
x ≤ 1
So, solution of given inequality is x ≥ 11 or x ≤ 1
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side length of the square can be written simply :
Answer:
Step-by-step explanation:
x*y = 490
x + y = 49
x = 49 - y
y*(49 - y ) = 490
49y - y^2 = 490
0 = y^2 - 49y + 490
This does factor (oddly). It doesn't look like it, but it does.
(y - 35) (y - 14) = 0
y - 35 = 0
y = 35
y - 14 = 0
y = 14
x = 49 - y
Let y = 14
x = 49 - 14
x = 35
x = 49 - y
let y = 35
x = 49 - 35
y = 14
Solutions
(35,14)
(14,35) Both solutions are valid.
Answer:
6/5
Step-by-step explanation:
slope: (y1-y2)/(x1-x2)
(11-(-1))/(5-(-5))= 12/10 = 6/5
The required mass of aquarium when it is half full of water is 10 kg.
Mass of the aquarium = 5kg
Length = 25 cm, width = 20 cm and height = 10 cm(when half filled)
<h3>What is volume?</h3>
Volume, is defined as the ratio of the mass of object to its density.
Since, density of the water = 1000 Kg/m³
Now Mass of the water = Volume x density
= 25/100 x 20/100 x 10/100 x 1000
= 0.005 x 1000
= 5 kg
Now, the total mass of the aquarium when half filed by water.
= mass of water + mass of aquarium
= 5 + 5
= 10 kg
Thus, the required mass of aquarium when it is half full of water is 10 kg.
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