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2 answers:
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When two lines intersect, they will have a point of intersection where angles around this point will add up to 360°
Since the lines can intersect in many different ways, we cannot assume that the angles form will all be right angles (although this is possible, it doesn't always happen). The four angles can't also be all of the same sizes.
Refer to the diagram below, the intersection will definitely two pairs of vertical angles, x and y.
Answer: <span>When a pair of lines intersect, the vertical angles are congruent.
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Since the lines can intersect in many different ways, we cannot assume that the angles form will all be right angles (although this is possible, it doesn't always happen). The four angles can't also be all of the same sizes.
Refer to the diagram below, the intersection will definitely two pairs of vertical angles, x and y.
Answer: <span>When a pair of lines intersect, the vertical angles are congruent.
</span>
Answer:
The maximum height of the ball is 380.25 feet in the air.
Step-by-step explanation:
The quadratic function:
Models the ball's height <em>h(t)</em>, in feet, above the ground <em>t</em> seconds after it was thrown.
We want to determine the maximum height of the ball.
Note that this is a quadratic function. Therefore, the maximum or minimum value will always occur at its vertex point.
Since our leading coefficient is leading, we have a maximum point. So to find the maximum height, we will find the vertex. The vertex of a quadratic equation is given by:
In this case, <em>a</em> = -16, <em>b</em> = 132, and <em>c</em> = 108. Find the <em>t-</em>coordinate of the vertex:
So, the maximum height occurs after 4.125 seconds of the ball being thrown.
To find the maximum height, substitute this value back into the equation. Thus:
The maximum height of the ball is 380.25 feet in the air.