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ICE Princess25 [194]
2 years ago
7

Find the value of the variable. If the answer is not a whole number, round to the nearest tenth.

Mathematics
1 answer:
r-ruslan [8.4K]2 years ago
5 0

Answer:

C

Step-by-step explanation:

Two secants drawn to a circle from a common external point, then

The product of the external part and the entire part of one secant is equal to the product of the external part and the entire part of the other secant, that is

5(5 + x) = 4(4 + 10) = 4 × 14 = 56

25 + 5x = 56 ( subtract 25 from both sides )

5x = 31 ( divide both sides by 5 )

x = 6.2 → C

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1790.6204<br> 18.5376<br> what is the expanded notation?
Neporo4naja [7]

Answer:

1790.06204 = 1 × 1000 + 7 × 100 + 9 × 10 + 0.6204

18.5376= 1 × 10 + 8 + 0.5376

5 0
2 years ago
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
farmer pythagoras has three fields, but only two children. What is the easiest way for him to split the land in his fields equal
svetoff [14.1K]
Give each of the kids a full field then have them share or split the other field
7 0
2 years ago
The equation | - 251 = 3 can be used to determine the maximum and minimum
nalin [4]

Answer:

thanks for the free answer

Step-by-step explanation:sucks to suck

8 0
3 years ago
(07.01)<br> What is the 24th term of the arithmetic sequence where a1 = 8 and ag = 56?
san4es73 [151]

the 24th term of the arithmetic is 146

3 0
3 years ago
Read 2 more answers
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