1.534
2.168
3.230
4.408
5.78
6.642
7.3
81016
9.1900
10.8 times (40 plus 5)
<u>Answer</u>
48
<u>Explanation</u>
The product of the secant and the extension of the chord is normally equivalent to square of the tangent.
From the diagram given,
The length of the secant = 2+6
= 8
Length of the extension of the chord = 6
length of the tangent = x
∴ x² = 8 × 6
= 48
Given:
The graph of a function 
.
To find:
The interval where 
.
Solution:
From the given graph graph it is clear that, the function before x=0 and after x=3.6 lies above the x-axis. So, for 
and 
.
The function between x=0 and x=3.6 lies below the x-axis. So, 
for 
.
Now,
For 
, the graph of h(x) is above the x-axis. So, .
For 
, the graph of h(x) is below the x-axis. So, .
For 
, the graph of h(x) is below the x-axis. So, .
Only for the interval , we get .
Therefore, the correct option is A.
<h3>
Answer: 10^4</h3>
This is an exponential expression with 10 as the base and 4 as the exponent.
=============================================
Explanation:
We're dividing 10^8 over 10^4. When dividing like this, we subtract the exponents (numerator minus denominator). The bases must be the same value and they stay at the same value for the final answer as well.
The new exponent is 8-4 = 4 which is how we arrive at the answer 10^4.
Side note: 10^4 = 10,000 = ten thousand
The only common factor is (x -5).
Selection A is appropriate.
