If you begin with the basic equation of a vertical parabola: y-k=a(x-h)^2, where (h,k) is the vertex, then that equation, when the vertex is (-3,-2), is
y + 2 = a (x + 3)^2. If we solve this for y, we get
y = a(x+3)^2 - 2. Thus, eliminate answers A and D. That leaves B, since B correctly shows (x+3)^2.
Answer: y = 9x - 14
Step-by-step explanation:
The equation of a line is y = mx + b
We know the slope is 9 so so far the equation we have is y = 9x + b.
Since we know (1,-5) is a point on the line, we can plug in the x and y values into the equation and we get:
-5 = 1*9 + b
-5 = 9 + b
b = -14.
Therefore, the equation of the line is y = 9x - 14
<span>One cup of water weighs approximately 8 ounces, which is equal to 225 grams. One cup holds 225 milliliters of water. The volume and weight of 1 cup of water are the same number under the metric system because the density of water is 1 gram per milliliter.</span>
2290.22mm^2
Hope this helped
The change in temperature is basically the "distance" between the two values. And the distance between two numbers is given by their difference.
In fact, if you subtract two identical number, you get something like
which makes sense in our metaphor, since it means that the distance between 13 and 13 is zero. On the other hand, if you pick something like
it makes sense again, since we're saying that 26 and 5 are 21 units apart.
So, the change in temperature is the difference between the temperature:
This means that the two values are 12 units apart, and the minus sign means that the temperature has decreased.
So, we can say that the change in temperature is a decrease of 12 degrees.