Answer : A
We need to simplify the given expression
Lets factor numerator first
=(2x+1)(x-3)
=(x+5)(x+3)
Now we factor the denominator
=(x+5)(x-4)
=(2x+1)(x-4)
Now we simplify it

Now cancel out same factors. so we left with

Now multiply the factors

The easiest way I know is to multiply the divisor by different numbers to see how many times it will go into the dividend. multiplying 486 by 2 or three and seeing which one gets closest.
Answer:
A, B, C, E
Step-by-step explanation:
It can be seen from the figure that the points A, B, C and D, all are lying in the line t.
=> So that it can be concluded that AC and BC and BD have the slopes which are equal to each other and also equal to the slop of line t
So that all answer A, B, C are true.
In addition, as FD is parallel with x - axis, so that slope of the line t is equal to <em>tan angel FDB </em>
As FDB is the right triangle with BFD = 90°
=> tan angel FDB = FB/ FD (tan of an acute angel in the right triangle = opposite side/ adjacent side)
=> Slope of the line t is equal to FB/ FD
=> Answer E is true
Answer:
x = 9.5 m
Step-by-step explanation:
Given:
This problem is based on 2D motion kinematics equations:



At maximum height:

Components of initial velocity:


To find time to reach maximum height:
Plugging in the known values:
0 = 4.10 - 9.8t


Total time = 2t = 2(0.418) = 0.836 s
to find horizontal distance covered:

<u>Answer</u>
12 units
<u>Explanation</u>
This can be solved using the properties of a circle.
DG and EG are secants f the circle.
DG×HG =EG×FG
(x+3+5)×5 = (x+6)×6
(x+8)5 = 6x + 36
5x +40 = 6x + 36
x = 4
DG = (x+3+5)
= 4 + 3 + 5
= 12 units