A quadratic equation has the general form
of: <span>
y=ax² + bx + c
It can be converted to the vertex form in order
to determine the vertex of the parabola. It has the standard form of:
y = a(x+h)² - k
This can be done by completing a square. The steps are as follows:
</span><span>y = 3x2 + 9x – 18
</span>y = 3(x2 <span>+ 3x) – 18
</span>y + 27/4= 3(x2 <span>+ 3x+ 9/4) – 18
</span>y = 3(x2 + 3/2)^2 – 99<span>/4
</span>
Therefore, the first step is to group terms with the variable x and factoring out the coefficient of x^2.
Answer:
Equation that represents the line passing through the point -3, -1 with a slope of 4 is
Step-by-step explanation:
Equation of line in point slope form is
-------(1)
Here
Substituting values in equation (1)
Answer:
0.0045 hectograms are in 45 centigrams
Step-by-step explanation:
Perimeter of a parallelogram = 2(l + w). But w = l - 4
Therefore, 72 = 2(l + l - 4) = 2(2l - 4) = 4l - 8
4l = 72 + 8 = 80
l = 80/4 = 20
w = 20 - 4 = 16
Therefore, length = 20 meters and width = 16 meters
Answer:
20
Step-by-step explanation:
set a proportion
16 x
____ = ______
80 100
by doing this you can cross multiply the terms
80x=1600
divide both sides by 80
x=1600/ 80=20
