Step-by-step explanation:
it is the vertex form.
remember, (h, k) is the vertex point.
the vertex being the point of the (quadratic) parabola, where the curve turns around.
depending on the orientation of the parabola (vertex up or vertex down) as defined by the sign of a, this is either the minimum or the maximum of the curve.
so, the first a. is correct.
and so is the second a., as they play an important role when completing the square and hence finishing the transformation.
The correct answer is B. (3x - 4)(3x + 4)
In order to find this we first can note that the term in the front and the term in the back are both perfect squares. Since the middle term is cancelled out, we can use the difference of two squares to factor.
a^2 - b^2 = (a - b)(a + b)
Since the square root of 9x^2 is 3x, we can use that for a. Since the square root of 16 is 4, we can use that b.
(3x - 4)(3x + 4)
Answer:
c= 1.74
Step-by-step explanation:
4520 = 3000(c)-700
4520=3000c-700
+700 +700
5220=3000c
c=1.74
to check to see if this is right you would do this:
4520=3000(1.74)-700
4520=5220-700
4520=4520
Answer:
0.25 or 25%
Step-by-step explanation:
because the area of circle is 2πr^2 or two radius times together so that both are decreased by 50%
Answer:
We have the angles as;
8.9 and 72.2
Step-by-step explanation:
When two angles are complementary, they add up to 90
Let the first angle be x , the second angle is 72.2 degrees less and it is x-72.2
Thus, mathematically;
x + x - 72.2 = 90
2x = 90+ 72.2
2x = 162.2
x = 81.1
x = 81.1
The other will be
81.1 - 72.2 = 8.9
