Answer:
The answer is no solution.
Step-by-step explanation: First, you would add + 12 to both sides of the equation so that you would have 5c + 21 = 5c. Then, you would subtract 5c from both sides of the equation. This would leave you with 21 = 0. Since this is not true, the equation would have no solution.
Answer:
Step-by-step explanation:
I assume this is a repeating decimal where the sequence continues infinitely.
Let x=.252525... then
100x-x=25.25...-0.25...
99x=25
x=25/99
Answer:
True, r represents the distance from a point to the pole when plotting that point in polar coordinates.
Step-by-step explanation:
Given: The statement '' The value of r represents the distance from a point to the pole when plotting that point in polar coordinates ''
To state: whether the given statement is true or false
Solution:
In the cartesian coordinate system, any point is represented by the coordinates 
In polar-coordinates system, distance of the point from the origin (pole)(r) and the angle 
that the line joining the point to the origin makes with the positive x
-axis are used as polar coordinates. Polar coordinates are of form 
True, r represents the distance from a point to the pole when plotting that point in polar coordinates.
Answer:
x = 3/2, x = -5
Step-by-step explanation:
2x² + 7x - 15 = 0
You're going to factor first using whichever method you prefer, but it's best to always start with GCF over any other method. In this case, this equation does not have one so we'll go with the Lie method and grouping method.
A quadratic is formulated to look like this:
ax² + bx + c = 0
So to start factoring, we're going to multiply "a" and "c" to get -30.
Then, we are going to look at factors of -30 that will add up to "b" and in this case, 10 and -3 multiply to get -30 but also add up 7 so we plug those two numbers in.
2x² + 10x - 3x - 15 = 0
Now, we are going to group them like so:
(2x² + 10x)(-3x - 15) = 0
Finally, we can begin to break it down and find x.
2x(x+5) - 3(x+5) = 0
You're doing this right, if the information in the parentheses match.
(x+5)(2x-3) = 0
Set both (x+5) and (2x-3) to zero and solve.
x = 3/2 and x = -5
A≈153.94cm² is the answer
