Use the discriminant to determine how many x-intercepts the graph of the equation has. y=-4x2^+4x-1
1 answer:
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Answer:
One Triangle = 2.09 in²
Two Triangles = 4.18 in²
Rectangle = 17.48 in²
Total area of whole trapezoid = 21.66 in²
Step-by-step explanation:
Since it was not clarified which region is shaded we will just find the area of each individual part of the shape.
Let's start with the triangles.
1. To find the area of a triangle, the formula is . It is given that the base of one triangle is equal to 1.1 in and the height is equal to 3.8 in., so in the equation, it would look like:
in²
2. So now that we know one triangle is equal to 2.09 in², we now know that the other triangle is equal to the same area. To find the total of the two triangles you need to multiply the area by 2:
in²
Moving on to the rectangle...
1. To find the area of the rectangle we need to use the formula base times height or b x h. It is given that the height is 3.8 in while the length is 4.6 in. So in the equation it would look like:
in²
Now to find the total area of all shapes combined...
1. To do this, we just need to add up all the areas we found, so...
17.48 + 4.18 = 21.66 in²
Answer:
<h2>The solution is (2, -1)</h2><h2>The area of the triangle formed is 10 square units.</h2>Step-by-step explanation:
The given system is
First, you need to graph both lines. To do so, you just need to find the interceptions with both axis.
For
For
Then, you draw both points to have the straight line.
Repeat the process for the second line. The image attached shows both lines.
Remember, the solution of a linear system of equation is the common point between lines. In this case, we can observe that the solution is (2, -1).
On the other hand, to find the area of the triangle formed, we need to use the length of its base and its height.
- Its base is 10 units long.
- Its height is 2 units long.
Now, we use the area formula for triangles
Therefore, the area of the triangle formed is 10 square units.
