Answer:
(-3, -4)
Step-by-step explanation:
Handy fact: the average of two numbers is exactly halfway between them.
To find the midpoint, average the x-coordinates; average the y-coordinates.
(1 + -7)/2 = -6/2 = -3
(-8 + 0)/2 = -8/2 = -4
The midpoint is (-3, -4).
Answer:
1.25
Step-by-step explanation:
20 ounces would be 1.25 pounds.
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Answer:
A. (-1, -16)
Step-by-step explanation:
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.
Area of the triangle = 1/2 x 2.9 x 8 = 11.6 cm²
Volume = base area x height
Volume = 11.6 x 6 = 69.6cm³