Answer:
No
No
Yes
Yes
Step-by-step explanation:
Try it.
When we factorise an expression, we are looking for simple factors that multiply to get the original expression. Usually it is very natural to factorise something like a quadratic in x. For example:
x^2 + 3x + 2 = (x+1)(x+2)
But there are other situations where factorisation can be applied. Take this quadratic:
x^2 - 9x = x(x-9)
This second example is closer to the question in hand. Just like x was a common factor to both x^2 and -9x, we are looking for a common factor to both 6b and 24bc. The common factor is 6b.
Hence 6b + 24bc = 6b(1 + 4c).
I hope this helps you :)
9/18 or 50% if you toss the coin because when you toss 1 coin you get a 1/2 chance of getting tails. Do that nine times and you get 9/18
Answer:
Step-by-step explanation:
we know that
If the floor of Cara's living room is 10 feet by 14 feet
then
the diameter of the larger circular rug that can fit in Cara's living room is equal to 10 feet
<em>Find the area of the circular rug</em>
The area of the circle is equal to
we have
----> the radius is half the diameter
substitute the values
Answer:
<em>The ball will roll upto </em><em>1 m.</em>
Step-by-step explanation:
A 1 kg ball has 10 joules of kinetic energy and starts to roll up a hill.
As along the hill the ball rises up, it loses its kinetic energy. The kinetic energy is converted to potential energy.
According to the law of conservation of energy, the kinetic energy plus the potential energy equals a constant.
Here given kinetic energy as 10 J, so this energy will get converted to potential energy.
We know that, potential energy is
where,
m is the mass, g is the acceleration due to gravity and h is the height.
Putting the values,