Answer:
set two equation of line y=ax+b and y=cx+d
when these two lines are perpendicular to each other, then a*c=(-1)
set answer is y=ax+b
we can know that a=1/6
bring in a=1/6 and(-4,5)
5=(1/6)*(-4)+b
=>5=(-2/3)=b
=>b=5 2/3
answer is y=(1/6)x+5 2/3
Answer:
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Step-by-step explanation:
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Answer:
If
whenever
f is <em>increasing</em> on I.
If
whenever
f is <em>decreasing</em> on I.
Step-by-step explanation:
These are definitions for real-valued functions f:I→R. To help you remember the definitions, you can interpret them in the following way:
When you choose any two numbers
on I and compare their image under f, the following can happen.
. Because x2 is bigger than x1, you can think of f also becoming bigger, that is, f is increasing. The bigger the number x2, the bigger f becomes.
. The bigger the number x2, the smaller f becomes so f is "going down", that is, f is decreasing.
Note that this must hold for ALL choices of x1, x2. There exist many functions that are neither increasing nor decreasing, but usually some definition applies for continuous functions on a small enough interval I.
<u>Given</u>:
Given that the circle with center O.
The radius of the circle is OB.
The chord of the circle O is PQ and the length of PQ is 12 cm.
We need to determine the length of the segment PA.
<u>Length of the segment PA:</u>
We know that, "if a radius is perpendicular to the chord, then it bisects the chord and its arc".
Thus, we have;

Substituting the value PQ = 12, we get;


Thus, the length of the segment PA is 6 cm.
Hence, Option d is the correct answer.
Answer
y = 4x + 4
slope: (36-16)/(8-3)=4
intercept: 16=3(4)+b -> b=4