Step 1- Subtract 5 from both sides
3m = 8 - 5
Step 2- Simplify 8 - 5 to 3
3m = 3
Step 3- Divide both sides by 3
Answer: m = 1
From the graph of the parent logarithmic function f and transformed function, to produce g
- To produce g , function f was vertically stretched by a factor of 2
- Function g is defined as 2f
<h3>How can a graph be modified</h3>
It is clear from the given graph that, the function g has a graph that is the stretch of f by a factor of 2.
For instance, for X=4, Y is 2 for f and 4 for g.
This proofs that, the g function is double to that of f function.
Therefore,
To produce g , function f was vertically stretched or expand by a factor of 2.
Function g is defined as 2f.
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Answer:
your answer to that is D hope that helps
Answer:
A = 12
Step-by-step explanation:
Triangle AED is a right triangle because 3,4,5 is a pythagorean triple.
Angle EAD + Angle ADE = 90 (Because it is a right triangle)
and also:
Angle EAD + Angle BAE = 90 (Because it is one of the angles of the rectangle
Combining both you have:
Angle BAE = Angle ADE
Triangle ABE is similar to triangle ADE, therefore:
AE/AD = AB/ED = BE/AE
Using those relations you can calculate the width of the rectangle as follows:
AE/AD = AB/ED
3/5= AB/4
3*4/5= AB
2.4 = AB
Now the area is width * length:
A = 2.4*5=12.
Another way to do it is:
Draw a imaginary line from point E to segment AD lets call that new point Q, you get 2 rectangles:
ABEQ and EQDC
I hope you can appreciate that triangle ABE is half the area of rectangle ABEQ and triangle EDC is half the area of rectangle EQDC, then triangle AED is half the area of whole rectangle ABCD:
Area of ABCD = 2 * area of AED
= 2 * 3*4/2
= 12
Answer: Your average monthly interest rate is0.18/12 = 0.015. So your average monthly interest is0.015×$850 = $12.75. Then the annual interest payments would be 12×$12.75 = $153