Hello oddworld7836!

Factor the expression into an equivalent form 12y² - 75.


By observing the expression, we can see that, 3 is the only common factor in both the terms of the expression. So, take the common factor 3 out.

Now, look at (4y² - 25). They don't have any common factors but they appear in the form of the algebraic identity ⇨ a² - b² = (a + b) (a - b). Here,
- a² = 4, a = 2 (√a² = ✓4 = 2)
- b² = 25, b = 5 (√b² = ✓25 = 5)
So, the (4y² + 25) becomes...

Now, bring the 3 (common factor) & rewrite the complete expression.

We can't further simplify it. Also, remember that the simplified form of an expression is equivalent to the expression. So, 3 (2y - 5) (2y + 5) is equivalent to 12y² - 75.
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The true statement about the graph of f(x) is 
The graph of f(x) is a straight line that passes through the points (-5,0) and (0,3).
Start by calculating the slope (m)

So, we have:

Simplify

The equation of the line is then calculated as:

This gives

Open bracket

Express y as a function of x

Hence, the true statement about the graph of f(x) is 
Read more about linear models at:
brainly.com/question/25603458
Pythagorean theorem should be used to determine the length of any of the three sides of a right-angled triangle.
<h3>What is Pythagorean Theorem?</h3>
Pythagorean theorem can be defined as a fundamental mathematical equation in Euclidean geometry and it can be used to determine the length of any of the three (3) sides of a right-angled triangle.
Mathematically, Pythagorean's Theorem is given by this formula:
c² = a² + b²
<u>Where:</u>
<u>For example:</u>
c² = 3² + 4²
c² = 9 + 16
c² = 25
c = √25
c = 5 units.
Read more on Pythagorean Theorem here: brainly.com/question/16176867