I only see one question.
The answer is the root 4 has the multiplicity of 2.
Answer:
-5x^2 +x
Step-by-step explanation:
x(x-2)-3x(2x-1)
Distribute
x^2 -2x -6x^2 +3x
Combine like terms
-5x^2 +x
Answer:
The distance between the hands is √(3)cm ≈ 1.73cm.
Step-by-step explanation:
In a standard clock, the angle between every number is 30°, therefore the angle between 12 and 2 will be 30° x 2 = 60°.
Looking at the diagram, to find c we can make use of our cosine formula
c² = a² + b² –2abCos(C°)
a = 2, b = 1 and C° = 60°
Therefore we have:
c² = 2² + 1² –2 x 2 x 1 x cos(60°) =
c² = 4 + 1 – 4 x 0.5 =
c² = 5 – 2 =
c² = 3
c = √(3) ≈ 1.73
Therefore, the distance between the hands is √(3)cm ≈ 1.73cm.
Answer:
Set up your height equation, then factor or use quadratic formula to find when h(t)=0
Step-by-step explanation:
Your equation will be -16t^2+vt +h where v is the initial velocity and h is the starting height. Now either factor or quadratic equation, whichever is easier for you.
Remember that the ball is on the ground when h(t)=0 since that is the height. There will be two zeros, one is a negative number so would be before you kicked the ball, the other one will be when the ball comes back down.
No of red marbles = 5
Total number of marbles =14
By using probability formula,
P(E)= Number of favorable outcome /
Total number of outcomes
P(E)= 5/14
I hope that was useful ☻