Since the solution to the system of equation is 12 and -12, hence the equation has 2 solutions
<h3>Modulus functions</h3>
Modulus functions are functions that can either be positive or negative. Given the modulus function below;
|h| − 8 = 4
The modulus of h can both be negative and positive
If the modulus of h is positive then;
h - 8 = 4
Add 8 to both sides
h-8 + 8 = 4 + 8
h = 4 + 8
h = 12
If the value of h is negative
-h - 8 = 4
-h = 4 + 8
h =-12
Since the solution to the system of equation is 12 and -12, hence the equation has 2 solutions
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Answer:
distance travelled by sprinter = 100 m
Time taken = 11.21sec
∵speed = distance/time taken
= 100/9.83
= 10.17 m/s
Now we know, 1 km/h = 1000/3600 m/s
so, 1 m/s = 3600/1000 km/h = 18/5 km/h
∴ 10.17 m/s = 10.17 × 18/5 = 10.17 × 18/5 = 36.612 km/h
Hence, average speed = 36.612 km/h
Step-by-step explanation:
Answer:
x = 11.85
Step-by-step explanation:
x^2+(x-4)^2=202
x^2+(x-4)(x-4)=202
x^2 + x^2 - 4x - 4x + 16 = 202
2x^2 - 8x + 16 = 202
2x^2 - 8x - 186 = 0
Apply the quadratic equation and you'll get x as:
x=11.85 or x=-7.85
x cannot be negative
therefore x = 11.85
