Answer:
Equation of the circle is : 
Step-by-step explanation:
Let us consider the image attached in the answer area.
The center<em> O</em> has the co-ordinates i.e. <em>(-5,2)</em> and the diameter given is <em>12 units</em>.
We know that radius is half of diameter.
The equation for circle given the center and radius, can be represented as:
Where <em>(a,b)</em> is the co-ordinate of center and <em>r</em> is the radius.
Let us consider the following formula:
Hence, Equation of the circle is :
Answer: C
Step-by-step explanation:
If (X + 8) is a factor of f(x), then to find the root, equate the factor to zero. That is,
X + 8 = 0
X = 0 - 8
X = -8
If -8 is substituted into f(x), the equation will tend to zero. That is,
F( -8 ) = 0
C is therefore the correct answer.
Answer:
8/20, 4/10, and 16/40
Step-by-step explanation:
40% is basically 40/100.
40/100=4/10=8/20=16/40
hope this helps!! :))
Answer:
x² + 2x + (3 / (x − 1))
Step-by-step explanation:
Start by setting up the division:
.........____________
x − 1 | x³ + x² − 2x + 3
Start with the first term, x³. Divided by x, that's x². So:
.........____x²______
x − 1 | x³ + x² − 2x + 3
Multiply x − 1 by x², subtract the result, and drop down the next term:
.........____x²______
x − 1 | x³ + x² − 2x + 3
.........-(x³ − x²)
...........----------
...................2x² − 2x
Repeat the process over again. First term is 2x². Divided by x is 2x. So:
.........____x² + 2x __
x − 1 | x³ + x² − 2x + 3
.........-(x³ − x²)
...........----------
...................2x² − 2x
Multiply, subtract the result, and drop down the next term:
.........____x² + 2x __
x − 1 | x³ + x² − 2x + 3
.........-(x³ − x²)
...........----------
...................2x² − 2x
.................-(2x² − 2x)
.................---------------
.....................................3
x doesn't divide into 3, so that's the remainder.
Therefore, the answer is:
x² + 2x + (3 / (x − 1))
25 percent increase
Hope this helps
