Example:
The sum of two consecutive integers is -15. What is the product of the two integers?
x = 1st consecutive integer
x + 1 = 2nd consecutive integer {consecutive integers increase by 1}
x + x + 1 = -15 {the sum of two consecutive integers is -15}
2x + 1 = -15 {combined like terms}
2x = -16 {subtracted 1 from each side}
x = -8 {divided each side by 2}
x + 1 = -7 {substituted -8, in for x, into x + 1}
-8 and -7 are the two consecutive integers
Their product is 56.
Answer:
Step-by-step explanation:
First we can determine the x value of our vertex via the equation:

Note that in general a quadratic equation is such that:

In this case a,b and c are the coefficients and so a=1, b=6 and c=13.
Therefore we can determine the x component of the vertex by plugging in the values known and so:

Now we can determine the y-component of our vertex by plugging in the x-component to the equation and so:

Therefore our vertex is (-3,4). Now in vertex our x component determines is the axis of symmetry so the equation for axis of symmetry is:
x=-3
Similarly, the y-component of our vertex is the minimum or maximum. In this case it is the minimum you can determine this because a is positive meaning that the parabola will point up, and so the equation for the minimum is:
y=4
The range of the formula is the smallest y-value meaning the minimum y=4 and all real numbers that are more than 4, mathematically:
Range = All real numbers greater than or equal to 4.
Answer:
Area of big circle: 2463.01
Area of little circle: 615.75
Area of shaded space: 1,231.51
Step-by-step explanation:
thats what i came up with
Answer:
7
Step-by-step explanation:
(5x6) equals 30, then 5+4-3 equals 6. So divide 30 and 6 and you'll get... actually this is starting to confuse me.