Answer:
There are no solutions to this equation because we will end up in 0=0 or if we do other methods, you will get something = 0
Hope it helps :)
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Exact Form:
2
+
5
√
6
2
+
5
6
Decimal Form:
14.24744871
…
Answer: I think it’s D is
Step-by-step explanation:I put it in Desmos and it didn’t show the same answer as A. B. or C.
Which best describes the diameter of a circle?
<em>Statements</em>
<u><em>A. The distance from the center to any point of the circle</em></u>
This statement describes the radius of the circle
<u><em>B. The length of a chord that contains the center of the circle</em></u>
This statement describes the diameter of the circle
<u><em>C. The distance around the circle</em></u>
This statement describes the circumference of the circle
<u><em>D. The length of a chord that does not contain the center of the circle</em></u>
This statement describes a line segment linking any two points on a circle that does not contain the center of the circle
therefore
<u>the answer is the option</u>
B. The length of a chord that contains the center of the circle
Answer + Explanation + Theory
When a number is divided by a number it results in a quotient and a remainder
E.g. 9 / 4 = 2 remainder 1
9 is the dividend
4 is the divisor
2 is the quotient
1 is the remainder
Same way when a polynomial is divided by a linear expression
E.g.
Ax^2 + bx + c / (x-b) = (x+a) + r
Which can be rearranged to
ax^2 + bx + c = (x+a)(x-b) + r
When x = - a or b, only the remainder is left since either (x+a)(x-b) is 0.
If x = - a or b is substituted into the polynomial and the value is 0 then there is no remainder,
This would suggest (x+a) or (x-b) are factors of the polynomial.
Now apply this logic to these questions
1. Let’s assume (x-4) is a factor, this would mean that when x=4 is substituted into the polynomial the answer would be 0.
This is the case, therefore the remainder is 0.
2. Having seen the logic above (applied using the remainder and factor theorem) the linear expression is a factor of the polynomial.
