Answer:

Step-by-step explanation:
A proportional relationship is modeled by the equation ...
y = kx
When the constant of proportionality (k) is 4/5, this equation becomes ...
y = (4/5)x
Answer:
42.6cm
Step-by-step explanation:
The sum total of all the sides of the shape is the perimeter of the shape. Hence;
Perimeter = x+3 + 4 + x+9 + 2x+5
Perimeter = 4x + 21
Given
Area of the figure = 75cm^2
Area = (x+3)(2x+5) + (2x+1)(6)
75 = 2x²+5x+6x+15+12x+6
75 = 2x²+23x+21
2x²+23x+21-75 = 0
2x²+23x-54 = 0
x = -23±√23²-4(2)(-75)/4
x = -23±√529+600/4
x = -12±√1129/4
x = -12+33.6/4
x = 21.6/4
x = 5.4
Recall that;
Perimeter = 4x+21
Perimeter = 4(5.4) + 21
Perimeter = 21.6+21
Perimeter = 42.6cm
Hence the perimeter is 42.6cm
Addition, distributive, and multiplication property
We need to solve for x. Let's try problem b:

Let us first combine line terms. 3x and -x as well as 1 and -7 can be combined. Let's do that:

Since this is true, your answer would be:
All real numbers
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Let's solve for problem c:

Let's isolate x, so subtract 1 from both sides:

Since x can't have a coefficient, divide both sides by 3:


So, only the value of 14 would make this equation true.
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Let's try problem d:

Let's get our whole numbers on the right side. Add 1 to both sides:

Subtract 4x from the right side on both sides:

Since this is not true, your answer would be:
No solution
You can use the properties of logarithm to derive the simplified form of the given expression.
The simplification of the given expression requires the given below properties of logarithm
<h3>What is logarithm and some of its useful properties?</h3>
When you raise a number with an exponent, there comes a result.
Lets say you get

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows
Some properties of logarithm are:

<h3>Using the above properties, to get to the simplified form of the given expression</h3>
The given expression is

Using the property
, we get

Using the property
, we get

Thus,
The simplification of the given expression requires the given below properties of logarithm
Learn more about logarithms here:
brainly.com/question/20835449