(x+9)(x+8) = x^2 +17x + 72
(x- 7)(x+8) = x^2 + x - 72
(x- 5)(x- 6) = x^2 -11x + 30
(2x + 3)(3x+2) = 6x^2 + 13x +6
(5x - 4)(2x-5) = 10x^2 - 33x + 20
(x-4)^2 = x^2 -8x + 16
(2x+1)^2 = 4x^2 +4x + 1
(4x+3)(4x-3) = 16x^2 - 9
Step-by-step explanation:
(-)(-) = +
1. Quadrilateral ABCD is inscribed in circle O
A quadrilateral is a four sided figure, in this case ABCD is a cyclic quadrilateral such that all its vertices touches the circumference of the circle.
A cyclic quadrilateral is a four sided figure with all its vertices touching the circumference of a circle.
2. mBCD = 2 (m∠A) = Inscribed Angle Theorem
An inscribed angle is an angle with its vertex on the circle, formed by two intersecting chords.
Such that Inscribed angle = 1/2 Intercepted Arc
In this case the inscribed angle is m∠A and the intercepted arc is MBCD
Therefore; m∠A = 1/2 mBCD
4. The sum of arcs that make up a circle is 360
Therefore; mBCD + mDAB = 360°
The circles is made up of arc BCD and arc DAB, therefore the sum angle of the arcs is equivalent to 360°
5. 2(m∠A + 2(m∠C) = 360; this is substitution property
From step 4 we stated that mBCD +mDAB = 360
but from the inscribed angle theorem;
mBCD= 2 (m∠A) and mDAB = 2(m∠C)
Therefore; substituting in the equation in step 4 we get;
2(m∠A) + 2(m∠C) = 360
Given:
The quadratic equation is :
To find:
The quadratic formula for the given equation after substituting the values.
Solution:
If a quadratic equation is 
, then the quadratic formula is:
We have,
In this equation, 
.
Substituting in the above formula, we get
Therefore, the required quadratic formula for the given equation after substituting the values is .
2L + 2W = 62
2(20) + 2W=62
40+ 2W=62
62-40=22
2W=22
22 divided by 2 is 11
W= 11
