What is the vertical clearance 2 m from the edge of the tunnel?

Mathematics

1 answer:

raketka [301]3 years ago

4 0

When x=0 y=50 when y=0 x=+\-5. -x^2 makes the parabola open downward y(x)=2x^2+50;y(3)=2*9+50=32

You might be interested in

A quadrilateral WXYZ has vertices W(3, −5), X(1, −3), Y(−1, −5), and Z(1, −7).

xxTIMURxx [149]

Therefore, the required vertices after rotation are W'(5,3), X'(3,1),Y'(5,-1) and Z'(7,1).

4 0

3 years ago

Given the parabola whose equation is , find the focus and determine if the parabola opens up or down.

ziro4ka [17]

The equation of a parabola is:
$y = ax {}^{2} + bx + c$
If a>0, then the parabola opens up;
If a<0, then the parabola opens down.
The coordinates of focus are:
$( - \frac{b}{2a} \: \: \frac{1 - b {}^{2} + 4ac}{4a} )$

4 0

2 years ago

Given side lengths of 15cm and 20cm, how many triangles can you build?

Dmitry_Shevchenko [17]

20cm + 15cm= 35 triangles

4 0

3 years ago

Describe the change in the graph of the parabola f(x) when it transforms into g(x) =

saw5 [17]

Answer:

(d) The parabola g(x) will open in the same direction of f(x), and the parabola will be wider than f(x).

Step-by-step explanation:

We assume you intend ...

f(x) = equation of a parabola

g(x) = 2/3·f(x)

Multiplying a function by a factor of 2/3 will cause it to be compressed vertically to 2/3 of its original height. When the function is a parabola, this has the effect of making it appear wider than before the compression.

The compression factor is positive, so points on the graph remain on the same side of the x-axis. The direction in which the graph opens is not changed.

The attachment shows parabolas that open upward and downward, along with the transformed version.