To get the graph to have one x-intercept, we must find the m value where the discriminant of the equation will equal 0.
The discriminant for a graph with one x-intercept is found with the following formula:
Plug in the values of the equation into this formula:
Add 144 to both sides:
Square root both sides to get m by itself:
In order for the graph to have one x-intercept, m must equal
-12 or 12.
Answer:
5x -3y = -5
Step-by-step explanation:
One formula that is useful for writing equations of lines through two points is ...
... (x2 -x1)(y -y1) = (y2 -y1)(x -x1)
Using the given points, this becomes ...
... (2 -(-4))(y -(-5)) = (5 -(-5))(x -(-4))
... 6(y +5) = 10(x +4) . . . . simpify
We can divide by 2 and subtract the left side to get ...
... 0 = 5x +20 -3y -15
... 0 = 5x -3y +5 . . . . . . . this is the <em>general form</em> equation of a line
Subtracting the constant gives the <em>standard form</em> equation.
... 5x -3y = -5
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<em>Comment on the solution</em>
As a rule, writing the equation this way from integer coefficients avoids fractions entirely. In the form with x on one side and y on the other, you can choose to move the x-term or leave it be, in order to ensure that it has a positive coefficient in the final equation. (Here we left it alone and moved the y-term.)
The standard form requires that the numbers in the equation be relatively prime (no common factors). That is why we divided by the common factor 2 in the development above.
The answer for the first question is the second option.
The answer for the second question is 192
So you would take the starting number (6) and add how many feet he goes up (14) and add them together
6+14=20
so you would take his new height (20) and minus how far he goes down (11)
20-11=9
so he is now 9 feet from the ground.
Step-by-step explanation:
We use
Now we have
Hope that useful for you
