Determine if triangle XYZ with coordinates x (1, 1), y (5,6) and z (6,2) is a right triangle
1 answer:
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Answer:
From least to greatest it is -5/2, -2, then 1.7
Step-by-step explanation:
First by process of elimination, 1.7 is the only positive number, so it is the greatest number compared to the other two.
Now we are left with -2 and -5/2.
We can rewrite -2 as , as any number by itself itself is the number over 1.
Then we need to find the common denominator for both fractions, meaning they must share the same bottom number.
The 1 in the denominator can be multiplied by 2 to get a denominator of 2 , the same as the denominator for .
Since the denominator is multiplied by 2, the numerator also has to be multiplied by 2:
Now since both fractions share the same denominator, we can compare them by their numerators. 5 is greater than 4, but we must keep in mind that these are negative. The larger the negative number, the smaller the value.
So when comparing -4/2 and -5/2, -5/2 is smaller.
So our final answer from least to greatest is -5/2, -2, then 1.7
Answer:
Step-by-step explanation:
we have
we know that
The equation of a vertical parabola into vertex form is equal to
where
(h,k) is the vertex of the parabola
and the axis of symmetry is equal to
In this problem we have the axis of symmetry
so
the x-coordinate of the vertex is equal to
therefore
For -----> one unit to the right of the vertex
Find the value of
For -----> one unit to the left of the vertex
Find the value of
Remember that
------> the x-coordinates are at the same distance from the axis of symmetry
so
------> solve for b