Answer:
h(t) = -16t2 + 186t + 43
at the ground h = 0
hence; -16t2 + 186t + 43 = 0
solving this quadratic equation using the quadratic formula ; a = -16, b = 186, c = 43 ; x = (-b +-(b2 - 4ac)1/2)/2a
gives t = 11.8 seconds to the nearest tenth (note that the negative root has no practical significance)
Step-by-step explanation:
Answer:
The solution is (3 , 1)
Step-by-step explanation:
To solve the system of the equation you can use the elimination method or substitution method.
We will use the substitution method
From the first equation x + 2y = 5⇒get x = 5 - 2y
In the second equation 3x + 5y = 14⇒we will substitute x by 5 - 2y
3(5 - 2y) + 5y =14
15 - 6y + 5y = 14
-6y + 5y = 14 - 15
-y = -1
y = 1
Substitute the value of y in x = 5 - 2y
x = 5 - 2(1) = 5 -2 =3
∴ The solution of the system of equations is (3 , 1)
Answer:
1/4 = 3/12 = 1/12+1/12+1/12
Step-by-step explanation:
Because 1/4 equals 3/12.
Answer: The answer should be 72
Explanation: Triangles add up to 180. The two bottom points are the same. So you would take 180 and subtract it by 36. That would give you 144. You would then take 144 and divide it by 2, because the two angles are the same and your only trying to find one.
Answer: 
Step-by-step explanation:
We know that the standard quadratic equation is ax^2+bx+c=0
Let's compare all the given equation to it and , find discriminant.
1. a=2, b= -7, c=-9
So it has 2 real number solutions.
2. a=1, b=-4, c=4
So it has only 1 real number solution.
3. a=4, b=-3, c=-1
So it has 2 real number solutions.
4. a=1, b=-2, c=-8
So it has 2 real number solutions.
5. a=3, b=5, c=3
Thus it does not has real solutions.
