Set the function to equal zero:
To find the zeros, or solutions, to this problem, we will use the quadratic formula:
Plug the values into the equation:
Solve for both plus and minus:
The question cannot use a negative value for x, as the diver cannot dive a negative distance from the board.
The answer is
'<span>
x = 5; the diver hits the water 5 feet away horizontally from the board', because x represents the horizontal distance away from the board.</span>
Answer:
I think it's 4 and why do I have to write 20 letters?
The percent is the new value of the house of the price they paid 20 years ago is 216.67%.
<h3>Percentage</h3>
- Old price = $240 000
- New price = $520 000
percent is the new value of the house = New price / Old price
= 520,000 / 240,000 × 100
= 2.16666666666666
= 216.666666666666%
Approximately,
percent is the new value of the house = 216.67%
Therefore, the percent is the new value of the house of the price they paid 20 years ago is 216.67%.
Learn more about percentage:
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This is geometry through and through. Plus a little trig thrown in for fun. If you inscribe an equilateral triangle inside a circle and the triangle has side lengths of 12, you have part of what you need to use Pythagorean's Theorem to find the hypotenuse of the triangle which is also the radius of the circle. First, use the formula 360/3 to find that the central angle measure of each angle INSIDE a triangle is 120. So you have 3 triangles within the large one, each with a top angle of 120 and a base of 12. If you extract that one triangle and then split it in half, you have a right triangle with a base of 6. This is a 30-60-90 triangle and this is important so you can check your work. Now use the apothem formula for a right triangle as it relates to a side in an equilateral triangle, which is a = sqrt3/6 * s. Our values are a = sqrt3/6(12) which simplifies to 2sqrt3. That's our apothem. If you're familiar with a 30-60-0 triangle, you could check this to see it's correct. Now you have the base leg of 6 and the height of 2sqrt3, now use Pythagorean's Theorem to find the hypotenuse, which is also the radius of the circle. This was really a difficult one to explain.
Parallel lines...means ur equations will have the same slope and different y int's.
x - 2y = 8....-2y = -x + 8....y = 1/2x - 4...slope is 1/2, y int is -4
2x + 4y = 12...4y = -2x + 12....y = -1/2x + 3...slope is - 1/2, y int is 3
not this one...different slopes
x - 2y = 8...slope is 1/2, y int is -4
2x - 4y = 12...-4y = -2x + 12...y = 1/2x - 3....slope is 1/2, y int is -3
same slope, different y int's.....these are parallel lines..but this is not ur graph because the graph has a negative slope.
x + 2y = 8....2y = -x + 8....y = -1/2x + 4..slope is -1/2, y int is 4
2x + 4y = 12...4y = -2x + 12....y = -1/2x + 3...slope is -1/2, y int is 3
same slope, different y int's...parallel lines...and ur y int's match the graph...this is ur answer <===
x + 2y = 8...slope is -1/2, y int is 4
2x - 4y = 12..slope is 1/2, y int is 3
different slopes, different y int....this has 1 solution and ur lines are not parallel...not this one
therefore, ur answer is : 3rd answer choice
