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3 years ago

The drop that riders experience on Dr. Doom’s Free Fall can be modeled by the quadratic function, h(t) = −9.8t2−5t + 39

Mathematics

1 answer:

olga2289 [7]3 years ago

5 0

Answer:

a) 39 meters

b) t = 1.8 seconds

Step-by-step explanation:

To find the starting height of the riders, we just need to use the value of t = 0 in the equation of h(t):

h(0) = -9.8*0^2 - 5*0 + 39

h(0) = 39 meters

To find when the height will be equal 0, we just need to use the value of h(t) = 0 and then find the value of t:

0 = -9.8*t^2 - 5*t + 39

Delta = b^2 - 4ac = 25 + 4*39*9.8 = 1553.8

sqrt(Delta) = 39.418

t1 = (5 + 39.418)/(-2*9.8) = -2.2662 s (A negative value for the time is not suitable for the problem)

t2 = (5 - 39.418)/(-2*9.8) = 1.756 s

Rounding to nearest tenth, we have t = 1.8 s

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Use the distributive property to remove the parentheses. (-2+2w+4w)(-7)

kotegsom [21]

The parentheses of the expression (-2+2w+4w)(-7) is removed using the distributive property and the resultant expression is -14-42w.

<h3>What is distributive property?</h3>

The distributive property says that the product of a number and sum of two numbers is equal to the addition of the product of that number with the individual number of the sum.

c×(a+b)=ac+ab

The given expression in the problem is,

(-2+2w+4w)(-7)

Now, use the distributive property to remove the parentheses as,

(-2+2w+4w)(-7)

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Hence, the parentheses of the expression (-2+2w+4w)(-7) is removed using the distributive property and the resultant expression is -14-42w.

Learn more about the distributive property here;

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2 years ago

Solving for x, please answer quickly D:

Tema [17]

We know, sum of all angles of a triangle is 180°.
Therefore, by the problem

72 + 64 + (4x+20) = 180

or, 156 + 4x = 180

or, 4x = 180 - 156

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or, x = 24 ÷ 4 = 6

<h3>Your answer is 6.</h3>

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3 years ago

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Step-by-step explanation:

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Subtract the cube root of the product of h and 3k from the square of the sum of p and q

ehidna [41]

Answer:

(p + q)² - ∛(h·3k) or (p + q)² - ∛(h·3k)

Step-by-step explanation:

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Sum of p and q: p + q

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From (p + q)² subtract ∛(h·3k) This becomes, symbolically:

=> (p + q)² - ∛(h·3k)

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3 years ago

True or false? A correct answer is worth (2 pts). Explain how you know for the additional (2 pts). Using complete sentence for (

PtichkaEL [24]

answer (in words)

FALSE. the coordinate pair (5, 2) is not a solution to the equation $2x+3y=10$ . in order to figure out whether or not the statement is true or false, plug the $x$ and $y$ values from the coordinate pair (5, 2) into the given equation, $2x+3y=10$ . if both sides of the equation end up equal, the coordinate pair is a solution to the equation. if not, the coordinate pair is not a solution to that equation.

(i hope i explained that well enough, i'm better at explaining it algebraically as opposed to putting it into words lol)

answer (algebraic/steps for solving)

first, plug in 5 for $x$ in the equation $2x+3y=10$ .

$2x+3y=10$ ⇒ $2(5)+3y=10$

then plug in 2 for $y$ .

$2(5)+3y=10$ ⇒ $2(5)+3(2)=10$

now your equation is $2(5)+3(2)=10$ . all that's left to do is to simplify. you can do this in whatever order you'd like, but i'll start with multiplying 2 · 5.

$2(5)+3(2)=10$ ⇒ $10 + 3(2) = 10$

multiply 3 · 2.

$10 + 3(2) = 10$ ⇒ $10 + 6 = 10$

add 10 + 6.

$10 + 6 = 10$ ⇒ $16=10$

16 and 10 are not equal, therefore (5, 2) is not a solution to the equation $2x+3y=10$ . in order for a coordinate pair to be the solution to an equation, both sides of the equation need to end up equal after solving and simplifying.

i hope this helps! have a great rest of your day <3

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