How do I change parabola equations to graphing form? for example: y=2x^2-12x+19

1 answer:

6 0

The equation you have is already in graphing form. To graph, you just need to make sure you get everything except for the y= to the other side. You can directly put <span>y=2x^2-12x+19 into your calculator. Hope this helps :)</span>

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Solve for the missing sides 30-60-90 triangle show work please and thank you

Alex_Xolod [135]

Answer:

$x=8\sqrt{3}$

$y=16$

$x=3$

$y=3\sqrt{3}$

Step-by-step explanation:

The sides of a (30 - 60 - 90) triangle follow the following proportion,

$a-a\sqrt{3}-2a$

Where (a) is the side opposite the (30) degree angle, ( $a\sqrt{3}$ ) is the side opposite the (60) degree angle, and (2a) is the side opposite the (90) degree angle. Apply this property for the sides to solve the two given problems,

It is given that the side opposite the (30) degree angle has a measure of (8) units. One is asked to find the measure of the other two sides.

The measure of the side opposite the (60) degree side is equal to the measure of the side opposite the (30) degree angle times ( $\sqrt{3}$ ). Thus the following statement can be made,

$x=8\sqrt{3}$

The measure of the side opposite the (90) degree angle is equal to twice the measure of the side opposite the (30) degree angle. Therefore, one can say the following,

$y=16$

In this situation, the side opposite the (90) degree angle has a measure of (6) units. The problem asks one to find the measure of the other two sides,

The measure of the side opposite the (60) degree angle in a (30-60-90) triangle is half the hypotenuse times the square root of (3). Therefore one can state the following,

$y=3\sqrt{3}$

The measure of the side opposite the (30) degree angle is half the hypotenuse (the side opposite the (90) degree angle). Hence, the following conclusion can be made,

$x=3$

6 0

3 years ago

18) A company is planning to manufacture a new blender. After conducting extensive

zhenek [66]

Answer:

R(x) = -0.05x^2 +80x

Step-by-step explanation:

Given the two points (x, p), the equation for the price associated with a given demand quantity can be written using the 2-point form:

p = (p2 -p1)/(x2 -x1)(x -x1) +p1

p = (40 -50)/(800 -600)(x -600) +50

p = -0.05x +80 . . . . simplify