Answer:
Correct option: (3) 45
Step-by-step explanation:
Let's call the length of the tangent 'T', the length of the external segment 'E' and the length of the internal segment 'A'.
If we have a secant and a tangent to a circle, we can use the following property:
T^2 = E * (A + E)
If the tangent is 14 inches and the external segment is 4 inches, we have that:
14^2 = 4 * (A + 4)
196 = 4A + 16
4A = 180
A = 45
Correct option: (3)
Answer:
see below
Step-by-step explanation:
translated 3 units down whic means -3 on the y
hence T1 (2,0), T2 (-4,-8), T3 (-2, 1)
<span>In addition to linear, quadratic, rational, and radical functions, there are exponential functions. Exponential functions have the form f(x) = <span>bx</span>, where b > 0 and b ≠ 1. Just as in any exponential expression, b is called the base and x is called the exponent.</span>
<span>An example of an exponential function is the growth of bacteria. Some bacteria double every hour. If you start with 1 bacterium and it doubles every hour, you will have 2x bacteria after x hours. This can be written as f(x) = 2x.</span>
<span>Before you start, f(0) = 2<span>0 </span>= 1</span>
<span>After 1 hour f(1) = 21 = 2</span>
<span>In 2 hours f(2) = 22 = 4</span>
<span>In 3 hours f(3) = 23 = 8</span>
and so on.
<span>With the definition f(x) = <span>bx</span> and the restrictions that b > 0 and that b ≠ 1, the domain of an exponential function is the set of all real numbers. The range is the set of all positive real numbers. The following graph shows f(x) = 2x.</span>
<span> </span>
STEP 1:
Add the number of total students
= 27+25+23
=75
STEP 2:
Find the percentage that 18 out of 75 students is.
18/75=x/100
cross multiply
(18*100)=(75*x)
1800=75x
divide both sides by 75
24%=x
Check:
75 * 24%= 18
Hope this helps! :) Good luck!
