Quadrilateral ABCD with vertices A(-4, 1), B(-2, 3),C(0, -2), and D(-5, -2): k = 3
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Answer:
45 cm
Step-by-step explanation:
Find LCM(15,9). First factor both numbers:
So,
This means that the length of the side of the smallest square area that can be covered by these tiles is 45 cm.
Practically, you can put 3 tiles in a row (to make 3 lenghts of 15 cm each that add up to 45 cm) and put such 5 rows (to make 5 lengths of 9 cm that add up to 45 cm).
To find the x intercepts, we need to put the standard form equation into factored form.
Which two numbers multiply to -8 and add to -2?
So the factored form is
That means the x intercepts are at
So now we have the x intercepts.
To find the vertex, we need to convert the standard form equation into vertex form.
The formula of vertex form is
Since the a value in the standard form equation is 1, the a value in vertex form is also one.
The h value can be found using the formula
Which comes out to or 1.
To find the k value, we can just plug in what we got for h back into the equation.
So the vertex is .
This also means the axis of symmetry is
Finally, to find the y intercept, we plug in 0 for x and solve.
So the y intercept is .