Answer:
Area =
square units
Step-by-step explanation:
<u>Key skills needed: Area of a parallelogram</u>
1) This shape is a parallelogram, and the way to find the area of a parallelogram is:
![A = bh](https://tex.z-dn.net/?f=A%20%3D%20bh)
A = area
b = base (the side at the bottom
h = the height ( the length that runs from one side to another and makes a right angle)
2) The base (b) would be 3x. The height (h) would also be 3x
3) This means A =
3 times 3 is 9 --> and x times x is ![x^2](https://tex.z-dn.net/?f=x%5E2)
Therefore the area is --> ![9x^2](https://tex.z-dn.net/?f=9x%5E2)
<em>Hope you understood and have a nice day!! :D</em>
Answer:
3x+4y-12=0
y intercept = -constant term/coefficient. of y
= 12/4
=3
(a)
We can see that
this is a straight line
and this is the graph of velocity
we know that
acceleration is the derivative of velocity
so, slope of curve of velocity is acceleration
so, we will find slope of this line
We can select any two points
(0,4) and (5,7)
we can use slope formula
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%20m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%20%20)
now, we can plug points
![m=\frac{7-4}{5-0}](https://tex.z-dn.net/?f=%20m%3D%5Cfrac%7B7-4%7D%7B5-0%7D%20%20)
![m=0.6](https://tex.z-dn.net/?f=%20m%3D0.6%20%20)
we know that slope of line is always constant irrespective of any value of t
so, acceleration will always be same irrespective of any value of t
so, we will get acceleration
............Answer
(b)
we can see that acceleration is constant
and we know that
derivative of constant is always 0
so, instantaneous rate of acceleration at t=10s is 0........Answer
Probability of heads or tails is .5
so you do (.5)^3 and you get D = 0.125