Answer:
x = 3/8
Step-by-step explanation:
The difference of the two squares can be found several ways. One way uses the "difference of squares" special form.
a² -b² = (a -b)(a +b)
For the given squares, this is ...
(2x +3)² -(2x -3)² = ((2x +3)-(2x -3))((2x +3) +(2x -3)) = 6(4x) = 24x
We want to find x that makes this difference be 9:
24x = 9
x = 9/24 = 3/8
For the value x = 3/8, the difference between the squares of the binomials will be 9.
Answer:
y + z = x
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
x is an exterior angle of the triangle, thus
y + z = x
Answer:(15x +14)
Step-by-step explanation:
<em>Note: I am assuming we have to determine the angle 'Ф'.</em>
Answer:
The value of Ф = 22.6°
Step-by-step explanation:
Given
hypotenuse = 13
To determine:
Angle = Ф = ?
Using the trigonometric ratio
cos Ф = adjacent / hypotenuse
here
so substituting adjacent = 12, hypotenuse = 13 in the equation
cos Ф = adjacent / hypotenuse
cos Ф = 12 / 13
Ф = arccos (12/13)
Ф = 22.6°
Therefore, the value of Ф = 22.6°
