Answer:
Standard equation of this circle is (x +5)² + y² = 9.
Step-by-step explanation:
The equation of a circle with center at (h,k) and a radius of r is:
(x - h)² + (y - k)² = r²
Subtitute the variables with h= -5, k = 0, and r = 3
(x - (-5))² + (y - 0)² =3²
(x + 5)² + y² = 9
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Answer:
a = 5
b = -4
c = -20
Step-by-step explanation:
Here, we want to express the given equation in the following form;
So we can have this as;
5x-4y-20 = 0
That means we have;
a as 5
b as -4
and c as -20
Answer:
<h2><em>
2x-4</em></h2>
Step-by-step explanation:
Area of a rectangle = Length * Width
Given parameters
Area A = 8x2 – 10x – 12
Length of the rectangle = 4x+3
Required
Width of the rectangle.
Substituting the given parameters into the formula
8x2 – 10x – 12 = (4x+3)*width
width = 8x2 – 10x – 12
/4x+3
S
Factorizing the numerator
8x² – 10x – 12
= 2(4x²-5x-6)
= 2(4x²-8x+3x-6)
= 2(4x(x-2)+3(x-2))
= 2(4x+3)(x-2)
Width = 2(4x+3)(x-2)/4x+3
Width = 2(x-2)
Width = 2x-4
<em>Hence the width of the rectangle is 2x-4</em>
Answer:
1. True
2. False
3. False
4. True
Step-by-step explanation:
