Solve the system of linear equations by substitution for x and y
1 answer:
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Answer:
which is the first option in the list of possible answers.
Step-by-step explanation:
Recall that the minimum of a parabola generated by a quadratic expression is at the vertex of the parabola, and the formula for the vertex of a quadratic of the general form:
is at
For our case, where we have:
And when x = 1, the value of "y" is:
Recall now that we can write the quadratic in what is called: "vertex form" using the coordinates of the vertex as follows:
Then, for our case:
Then, for the quadratic equal to zero as requested in the problem, we have:
Answer:
45 square units.
Step-by-step explanation:
Applying the pythagoras theorem:
Base of the bigger triangle = =
= 12 units
Area of a triangle is given by × base × height
The area of the bigger triangle is × 12 × 9 = 54 square units.
The area of the smallest triangle is × (12 - 10) × 9 = 9 square units.
The area of the figure( required triangle) is 54 - 9 = 45 square units.