A student earned 23 out of 30 points on a quiz. What percent of the points did the student earn?
1 answer:
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Answer:
equation of the line is y=x+1
Step-by-step explanation:
the equation of a line has the form y = mx + b
while m is for the slope and b is for the y-intercept.
you can see from the graph that the line intercepts the y-axis at y=1 this is the b.
you can get the slope of the graph by taking two points from the graph lets say (1, 2) and (3, 4) then using this formula:
<h2>in our case it will be:
then just substitute the values for m and b.
Answer:
We want to find a solution of the system:
x^2 + y^2 > 49
y ≤ –x^2 – 4
Here we do not have any options, so let's try to find a general solution.
First, we can remember that the equation of a circle centered in the point (a, b) and of radius R is:
(x - a)^2 + (y - b)^2 = R^2
If we look at our first inequality, we can write it as:
x^2 + y^2 > 7^2
So the solutions of the first inequality are all the points that are outside (because the symbol used is >) of the circle of radius R = 7 centered in the origin.
From the other equation, we would get:
y ≤ –x^2 – 4
This is parabola, anything that is in the graph of the parabola or below will be a solution for this inequality.
Then the solutions of the system, are the ones that are in the region of solutions for both inequalities.
You can see the graph below, where both regions are graphed. The intersection of these regions is the region of the solutions for the system of inequalities:
by looking at the graph, we can see a lot of points that are solutions, like:
(0, -10)
(0, -15)
(2, -10)
etc.
