J will be -3,-2
K will be -3,-7
L will be -6,-2
To find f(2), put 2 where the variable is, then do the arithmetic. It might be easier to factor out x^2:
f(x) = (-6x-4)·x^2
f(2) = (-6·2-4)·2^2
= -16·4
= -64
Then the ordered pair (x, f(x)) for x=2 is
B. (2, -64)
The length of the smaller rectangle at the right is 1 inch less than twice its width. Both the dimensions of the larger rectangle are 2 inches longer than the smaller rectangle.
Answer:
1196 mm^2
Step-by-step explanation:
That's really well described. All in all you have 6 squares all laid out flat. Each square has a side of 14 mm.
The area of 1 square = 14mm * 14mm = 196 mm^2
The area of 6 squares = 6 * 196 mm^2 = 1176 mm^2
Answer:
As per the properties of parallel lines and interior alternate angles postulate, we can prove that:
Step-by-step explanation:
<u>Given:</u>
Line y || z
i.e. y is parallel to z.
<u>To Prove:</u>
<u>Solution:</u>
It is given that the lines y and z are parallel to each other.
are <em>interior alternate angles </em>because lines y and z are parallel and one line AC cuts them.
So, 
..... (1)
Similarly,
are <em>interior alternate angles </em>because lines y and z are parallel and one line AB cuts them.
So, 
...... (2)
Now, we know that the line y is a straight line and A is one point on it.
Sum of all the angles on one side of a line on a point is always equal to 
.
i.e.
Using equations (1) and (2):
We can see that:
<em>Hence proved.</em>
