Answer:
21/55
Step-by-step explanation:
dividamos por 5
= 21/55
1 + 2 + 3 + 4 + 5 + 95 + 96 + 97 + 98 + 99. = 500
Answer: 
Step-by-step explanation:
By the Intersecting Secants Theorem, we know that:

Having this, we can find the value of "x" by solving for "x":
Applying Distributive property:

Subtract 25 from both sides of the equation:

And finally dviding both sides of the equation by 5, we get:

Answer:
z = 1
Step-by-step explanation:
12/16 = 3z/4
=> 12 x 4/16 = 3z
=> 3z = 12 x 4/16
=> 3z = 12 x 1/4
=> 3z = 3
=> z = 1
Answer:
-2
Step-by-step explanation:
Since it would be immensely helpful to know the equation of this parabola, we need to figure it out before we can continue. We have the work form of a positive upwards-opening parabola as

where a is the leading coefficient that determines the steepness of lack thereof of the parabola, x and y are coordinates of a point on the graph, and h and k are the coordinates of the vertex. We know the vertex: V(-3, -3), and it looks like the graph goes through the point P(-2, -1). Now we will fill in the work form equation and solve for a:

which simplifies a bit to

and
-1 = a(1) - 3. Therefore, a = 2 and our parabola is

Now that know the equation, we can find the value of y when x = -3 (which is already given in the vertex) and the value of y when x = -4. Do this by subbing in the values of x one at a time to find y. When x = -3, y = -3 so the coordinate of that point (aka the vertex) is (-3, -3). When x = -4, y = -1 so the coordinate of that point is (-4, -1). The average rate of change between those 2 points is also the slope of the line between those 2 points, so we will use the slope formula to find it:

And there you have it! I'm very surprised that this question sat unanswered for so very long! I'm sorry I didn't see it earlier!