
Factor each of the following differences of two squares and write your answer together with solution.

<h3><u>1. x² - 36</u></h3>

Rewrite
. The difference of squares can be factored using the rule:
.

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<h3><u>2. 49 - x²</u></h3>

Rewrite 49-x² as 7²-x². The difference of squares can be factored using the rule:
.

Reorder the terms.

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<h3><u>3. 81 - c²</u></h3>

Rewrite 81-c²as 9²-c². The difference of squares can be factored using the rule:
.

Reorder the terms.

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<h3><u>4</u><u>.</u><u> </u><u>m²</u><u>n</u><u>²</u><u> </u><u>-</u><u> </u><u>1</u></h3>

Rewrite m²n² - 1 as
. The difference of squares can be factored using the rule:
.

Answer:
4.4 inches
Step-by-step explanation:
Here, we are interested in calculating the value of x.
Mathematically, a line that comes from the center of the circle and extends to a chord, divides the chord into two equal parts.
This means what we have is a right angled triangle with the radius being the hypotenuse, the half of the length of the chord as the other side of the triangle.
3.7 is half the length of the chord i.e 7.4/2
Thus;
using Pythagoras’ theorem
x^2 = 2.4^2 + 3.7^2
Pythagoras’ posited that the square of the hypotenuse is equal to the sum of the squares of the other two sides of the triangle.
Thus;
x^2 =5.76 + 13.69
x^2 = 19.45
x = √(19.45)
x = 4.41 inches which is 4.4 inches to the nearest tenth
5x-10=3x+40
5x=3x+50
2x=50
x=25
5*25=125
125-10=115
angle AEB=115
Hope this helps :)
Answer:
117m
Step-by-step explanation:
I attached a file.
Answer:
The correct answer choice would be:
C (Same-Side Interior Angles Theorem)
Hope this helps! :)