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2 years ago

Which is NOT true about a direct proportion?

Mathematics

1 answer:

madam [21]2 years ago

8 0

The person at the top is correct.

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2. The path of a high diver is given by y = + (2x2 – 9x – 56), where y is the height of the diver

timofeeve [1]

Answer:

The diver will be 8 feet from the end of the board when he hits the water.

Step-by-step explanation:

The diver hits the water when y = 0.

To find the distance, we have to find the values of x when y = 0.

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = (x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this problem, we have that:

$y = 2x^{2} - 9x - 56$

$2x^{2} - 9x - 56 = 0$

$a = 2, b = -9, c = -56$

Then

$\bigtriangleup = b^{2} - 4ac = (-9)^{2} - 4*2(-56) = 529$

$x_{1} = \frac{-(-9) + \sqrt{529}}{2*2} = 8$

$x_{2} = \frac{-(-9) - \sqrt{529}}{2*2} = -3.5$

It is a horizontal distance, so the answer is a positive value.

The diver will be 8 feet from the end of the board when he hits the water.

7 0

2 years ago

The sum of the measures of the interior angles of a polygon is 2880°. How many sides does the polygon have?

harina [27]

Let

S------> The sum of the measures of the interior angles of a polygon

n-------> number of sides of a polygon

we know that

The formula to find the sum of the measures of the interior angles of a polygon is equal to

$S=(n-2)*180$ °

in this problem

$S=2880$ °

Solve for n

$S=(n-2)*180\\ \\ n=\frac{S}{180}+2\\ \\ n=\frac{2880}{180}+2\\ \\ n=16+2\\ \\ n=18\ sides$

therefore

the answer is

$18\ sides$

5 0

2 years ago

Read 2 more answers

15 pts and brainliest, true, correct answers only <br><br> If N∈AB and AN= 1 3 · AB, then BN = · AB.

laiz [17]

Answer:

Step-by-step explanation:

Not sure, i'm sorry

should be the same logic as

a=b

b=c

a=c

4 0

2 years ago

James went to the store to return a defective $45 tape recorder for a refund. At the same time, he bought some batteries for $3

Papessa [141]

Answer:

Step-by-step explanation:

he should have gotten 45 back

but he only got 33

so the DIFFERENCE is how much he got in batteries, how many packs? well 45−33 = 12 12÷3=4

3 0

2 years ago

An exam has two probability problems, 1 and 2. If 37% of the students solved problem 1 and 12% of the students solved both probl

yan [13]

Answer:

63%

Step-by-step explanation:

37% did not solve problem 2

100% - 37% = 63%

3 0

2 years ago