Answer:
x = 6 , 5. For these values of x they are equal.
Step-by-step explanation:
2x² - x + 55 =(x +5)²
2x² - x + 55 = x² + 2*x*5 + 5²
2x² - x + 55 = x² + 10x + 25
2x² - x + 55 - x² - 10x - 25 = 0
2x² - x² - x - 10x + 55 - 25 = 0
x² - 11x + 30 = 0
x² -6x - 5x + 30 = 0
x(x - 6) - 5(x - 6) = 0
(x - 6)(x - 5) = 0
x - 6 = 0 ; x - 5 = 0
x = 6 ; x = 5
Answer:
Option A.
Step-by-step explanation:
Circle contains all points in a plane that are equidistant from a point, i.e., center of the circle.
The locus of points 9 units from the point (-1,3) on the coordinate plane.
It means, the figure represents the set of all points which are 9 units from the point (-1,3).
So, the given describes a circle with of 9 units and center at (-1,3).
Therefore, the correct option is A.
Answer: 4 and a half
Step-by-step explanation:
Answer:

where
is an integer
Step-by-step explanation:

We are going to isolate the trig expression first.
Subtract 5 on both sides:

Divide both sides by 3:

Now since
is even then
.
So we have:

implies:

Multiply both sides by 2:

or

Multiply both sides by -2:

So we can say the solution is:

(
is an integer)
Let's say that x = the total number of biscuits ordered.
This means that 0.12 x x = 36.
so x = 36 x 12
x = 300 - the number of biscuits ordered.