Answer:
1 + root 5, 1 - root 5
Step-by-step explanation:
I assume you mean 3x^2-6x-12=0.
First, note that you can divide both sides by 3. You get:
x^2-2x-4=0
Use the quadratic equation.
Therefore, x=1 + root 5, 1 - root 5
6 large + 5 small = 127 kg ------------ (1)
2 large + 3 small = 51kg ------------ (2)
<u>(2) x 3 :</u>
6 large + 9 small = 153 ---------------- (2a)
<u>(2a) - (1) :</u>
4 small = 26
1 small = 6.5kg ------------ (sub into equation 1)
6 large + 5 small = 127 kg
6 large + 5(6.5) = 127
6 large + 32.5 = 127
6 large = 127 - 32.5
6 large = 94.5
1 large = 15.75 kg
Answer: The small box weighs 6.5kg and the big box weighs 15.75 kg
A qualitative prediction is made by using senses and educated guesses, unlike quantitative observations which use scientific methods. For example, you take a rock and examine it. One qualitative observation of this rock is it is smooth and gray. A quantitative observation is it is two pounds.
Hope I helped :))
Answer:
22
Step-by-step explanation:
3x = x+44(base angle of isosceles triangle are equal)
2x = 44
x = 22
Setting up a right triangle, the 100 would be the hypotenuse, the 45 would be the angle of elevation, and you're looking for the opposite side.
Sin 45 = x/100
100sin45 = x
100 * ✓(2)/2 = x
50 ✓2 =x
x = 50✓2 ft
