Answer:
Step-by-step explanation:
Given
--- acceleration
--- final velocity
--- initial velocity (it is 0, because the car starts from rest)
Required
Determine the time taken
This will be solved using Newton's first equation of motion:
Substitute values for v, u and a
Make t the subject
<em>Hence, the time taken is approximately 5.2 seconds</em>
Answer:
x = 14
Step-by-step explanation:
The angles form a straight line which makes them add to 180 degrees
4x+ 8x+12 =180
Combine like terms
12x+12 =180
Subtract 12 from each side
12x+12-12 = 180-12
12x=168
Divide each side by 12
12x/12 =168/12
x =14
Answer:
Step-by-step explanation:
perimeter of Base=2(l+w)=2(11+10)=2×21=42 cm
lateral area =perimeter of Base×height=42×5=210 cm²
Answer:
(-b/2a, b^2/(4*a) - b^2/2a + c)
Step-by-step explanation:
For a general parabola:
y = a*x^2 + b*x + c
We can write the vertex as:
(h, k)
The x-value of the vertex is the value of the axis of symmetry.
Then we have:
h = x = -b/2a
Now we need to find the y-value of the vertex.
To do that, we just replace the variable "x" by the x-value of the vertex in our equation, so we get:
k = y = a*(-b/2a)^2 + b*(-b/2a) + c
k = b^2/(4*a) - b^2/2a + c
Then the coordinates of the vertex are:
(h, k) = (-b/2a, b^2/(4*a) - b^2/2a + c)
