Answer:
= - x^2 + 4x - 14
Step-by-step explanation:
(2x^2+6x−7)−(3x^2+3x−1)+(x−8)
= (2x^2+6x−7 ) −3x^2 -3x +1 + (x−8)
= (2x^2+6x−7 ) −3x^2 -3x +1 + x−8
= (2x^2+6x−7 ) −3x^2 -2x - 7
= 2x^2+6x−7 −3x^2 -2x - 7
= 2x^2+6x−7 −3x^2 -2x - 7
= - x^2 + 4x - 14
2 because if you divided 8/12 by 2/6=2
Answer:
The equation that represents circle C is .
Step-by-step explanation:
A circle is the set of all points in the plane which maintains a fixed finite distance <em>r</em> from a fixed point <em>O = (a, b)</em>. Here <em>O</em> is called the center, and <em>r</em> is called the radius of that circle.
The standard equation for a circle with center (a, b) and radius <em>r</em> is
We are told that the center of this circle is (-2, 10), so
We are also told that the circle contains the point (10, 5), so we will use that information to find the radius <em>r.</em>
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Therefore, the equation that represents circle C is
State the given in the question
Given that the sum of a number and 3 is subtracted from, the result is 5
State what is to be found in the question
We are to find the number. In other to achieve this, we would follow the steps below:
Step 1: Represent the number with an unknown
Let x represent the number
Step 2: Interpret the given statement mathematically
If x is the number, then the sum of the number and 3 would be
Then the sum of a number and 3 subtracted from 10 would be
Finally, when the sum of a number and 3 subtracted from 10, the result is 5, would be
Step 3: Solve for x in the mathematical interpretation of the given statement
The value of x is as calculated as shown below:
Hence, the number is 5