EASY 20 points! Please Solve this Algebra 1 question.
2 answers:
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We know that
the equation of a parabola is of the form
y=a*(x-h)²+k--------> is a vertical parabola
(h,k) is the vertex
y=−14x²<span>+4x−19
</span><span>Factor the leading coefficient </span>
y=-14*(x²-4/14x)-19
y=-14*(x²-2/7x)-19
<span>Complete the square Remember to balance the equation </span>
y=-14*(x²-2/7x+(1/49)-(1/49))-19
y=-14*(x²-2/7x+(1/49))-19+14/49
the vertex of the parabola is
h=(1/7)-----> 0.1429
k=(-917/49)----> -18.7143
the vertex of the parabola is
(0.1429, -18.7143)
see the attached figure
the equation of a parabola is of the form
y=a*(x-h)²+k--------> is a vertical parabola
(h,k) is the vertex
y=−14x²<span>+4x−19
</span><span>Factor the leading coefficient </span>
y=-14*(x²-4/14x)-19
y=-14*(x²-2/7x)-19
<span>Complete the square Remember to balance the equation </span>
y=-14*(x²-2/7x+(1/49)-(1/49))-19
y=-14*(x²-2/7x+(1/49))-19+14/49
<span>Rewrite as perfect squares</span>
y=-14*(x-1/7)²-917/49the vertex of the parabola is
h=(1/7)-----> 0.1429
k=(-917/49)----> -18.7143
the vertex of the parabola is
(0.1429, -18.7143)
see the attached figure
Answer:
The measure of angle CAD is 83 degrees.
Step-by-step explanation:
Given information: ABCD is a parallelogram, AC is a diagonal, and
.
The opposite sides of parallelogram are congruent.
The diagonal AC divides the parallelogram in two congruent triangles.
In triangle ABC and ADC,
(Opposite sides of parallelogram)
(Opposite angles of parallelogram)
(Opposite sides of parallelogram)
By SAS postulate,
Since we know that opposite angles of parallelogram are equal, therefore
According to the angle sum property the sum of interior angles of a triangle is 180 degrees.
Therefore the measure of angle CAD is 83 degrees.
