Given right triangle ABC with altitude BD drawn to hypotenuse
1 answer:
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Answer:
Step-by-step explanation:
2x² + 5x + 3 = (x + 1) (2x + 3)
x² + 2x + 1 = (x + 1) (x + 1)
(x + 1) cancels out because there is one in the denominator and the numerator, leaving you with the answer.
Hope this helps!
The linear inequality of the graph is: -x + 2y + 1 > 0
<h3>How to determine the linear inequality?</h3>First, we calculate the slope of the dashed line using:
Two points on the graph are:
(1, 0) and (3, 1)
The slope (m) is:
This gives
m = 0.5
The equation of the line is calculated as:
So, we have;
This gives
Multiply through by 2
Now, we convert the equation to an inequality.
The line on the graph is a dashed line. This means that the inequality is either > or <.
Also, the upper region of the graph that is shaded means that the inequality is >.
So, the equation becomes
2y > x - 1
Rewrite as:
-x + 2y + 1 > 0
So, the linear inequality is: -x + 2y + 1 > 0
Learn more about linear inequality at:
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<u>Complete question</u>
Find a linear inequality with the following solution set. Each grid line represents one unit. (Give your answer in the form ax+by+c>0 or ax+by+c 0 where a, b, and c are integers with no common factor greater than 1.)
Answer:
Step-by-step explanation:
Differentiating, you get ...
... x·dy +y·dx +dx +dy = 2x·dx +2y·dy
Collecting terms gives ...
... dy(x +1 -2y) = dx(2x -y -1)
... dy/dx = -(2x -y -1)/(2y -x -1)