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nasty-shy [4]
3 years ago
8

PLEASE HELP WITH THIS QUESTION AND PLEASE SHOW WORK ASAP

Mathematics
1 answer:
Luda [366]3 years ago
6 0

Answer:

FD = 15

Step-by-step explanation:

35/21 = 25/x

35x = 525

x = 15

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You throw a ball up and its height h can be tracked using the equation h=2x^2-12x+20.
postnew [5]

<em><u>This problem seems to be wrong because no minimum point was found and no point of landing exists</u></em>

Answer:

1) There is no maximum height

2) The ball will never land

Step-by-step explanation:

<u>Derivatives</u>

Sometimes we need to find the maximum or minimum value of a function in a given interval. The derivative is a very handy tool for this task. We only have to compute the first derivative f' and have it equal to 0. That will give us the critical points.

Then, compute the second derivative f'' and evaluate the critical points in there. The criteria establish that

If f''(a) is positive, then x=a is a minimum

If f''(a) is negative, then x=a is a maximum

1)

The function provided in the question is

h(x)=2x^2-12x+20

Let's find the first derivative

h'(x)=4x-12

solving h'=0:

4x-12=0

x=3

Computing h''

h''(x)=4

It means that no matter the value of x, the second derivative is always positive, so x=3 is a minimum. The function doesn't have a local maximum or the ball will never reach a maximum height

2)

To find when will the ball land, we set h=0

2x^2-12x+20=0

Simplifying by 2

x^2-6x+10=0

Completing squares

x^2-6x+9+10-9=0

Factoring and rearranging

(x-3)^2=-1

There is no real value of x to solve the above equation, so the ball will never land.

This problem seems to be wrong because no minimum point was found and no point of landing exists

3 0
3 years ago
Which of the following reasons can be used to justify statement #4 in the proof?
8_murik_8 [283]

Answer:

SSS postulate because three sides of a triangle are are congruent

7 0
3 years ago
Read 2 more answers
I don’t know how to solve this.
aev [14]

Answer:

24

Step-by-step explanation:

put 2 over 3 and then simplify it then add the answer with 24

8 0
3 years ago
The cone in the figure below has a volume of 72π cubic centimeters and a height of 6
AleksAgata [21]

Answer:

6 cm

Step-by-step explanation:

The volume of a cone = (1/3) πr²h

72π = (1/3) π r² 6

72 = (1/3) r² 6

Divide both sides by 6

12 = (1/3) r²

Multiply both sides by 3

36 = r²

So r (radius) = 6 cm

8 0
3 years ago
Solve for x. √x+20=9<br><br> Please show and explain all steps so I can better understand :)thx
lions [1.4K]

Answer:

x=61

Step-by-step explanation:

There's a website called "symbolab.com" that I use to figure out problems like this easily. :) It has a bunch of math-related calculators and graphing stuff.

3 0
3 years ago
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