A hyperbola with a center at (0, 0) can be defined as x²/a² − y²/b² = ±1.<span>
</span>The statement "<span>The symmetry of a hyperbola with a center at (h, k) only occurs at y = k" </span>is false, because a hyperbola have many different orientations.
It doesn't have to be symmetric about the lines y = k or x = h.
The equation you can use to solve the problem is;
50/30 = 300/x
Next Cross Multiply
50x = 9000
x = 9000/50
x = 180
The building's shadow is 180 feet tall
Answer:
6.3
Step-by-step explanation:
First off, we need the distance formula, which is:

If we plug in the points, we get:

If we simplify everything under the square root, we get:



In decimal, the answer is 6.3
Answer:
The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.
Step-by-step explanation:
Statement is incorrect. Correct form is presented below:
<em>The height </em>
<em> of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 90 feet per second is given by equation </em>
<em>, where </em>
<em> is time in seconds. After how many seconds will the ball be 84 feet above the ground. </em>
We equalize the kinematic formula to 84 feet and solve the resulting second-order polynomial by Quadratic Formula to determine the instants associated with such height:

(1)
By Quadratic Formula:

,
The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.
Answer and Step-by-step explanation:
Since we know that the triangles are similar, we can find the value of x. It appears that the lighter triangle is dilated to be smaller than the darker triangle.
So, We would divide 45 by 9 to find the scale factor.
45 divided by 9 is 5.
Now, we divide 25 by this to find x.
25 divided by 5 is 5.
<u>x is equal to 5.</u>
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