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2 years ago

How do we solve this?

Mathematics

1 answer:

Murljashka [212]2 years ago

3 0

Answer:

f(x)=11+7√x

f'(x)=7/(2x^(1/2))

putting x=1

f'(1) = 7/(2×1^(1/2))

= 7/2 = 3.5

putting x=2

f'(2) = 7/(2×2^(1/2))

= 7/(2×√2)

= 7√2/4

= 2.47 (rounded to the nearest hundredth)

f'(3) = 7/(2×3^(1/2))

= 7/(2×√3)

= 7√3/6

= 2.02 (rounded to the nearest hundredth)

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Any help would be appreciated. Thank you!

trapecia [35]

Answer:

Area $=62.5\sqrt{6}$ square units

$AB=5\sqrt{15}$ units

$BC=5\sqrt{10}$ units

Step-by-step explanation:

In a right triangle the altitude drawn to the hypotenuse is the geometric mean of the segments at which this altitude divides the hypotenuse.

So,

$BD^2=15\cdot 10\\ \\BD^2=150\\ \\BD=\sqrt{150}=5\sqrt{6}\ units$

a. The area of the triangle ABC is

$A_{ABC}=\dfrac{1}{2}\cdot BD\cdot AC=\dfrac{1}{2}\cdot 5\sqrt{6}\cdot (15+10)=\dfrac{125\sqrt{6}}{2}=62.5\sqrt{6}\ un^2.$

b. The legs of the right triangle are geometric means of the segment adjacent to this leg and the hypotenuse, so

$AB^2=AD\cdot AC=15\cdot 25\Rightarrow AB=5\sqrt{15}\ units\\ \\BC^2=CD\cdot AC=10\cdot 25\Rightarrow BC=5\sqrt{10}\ units$

5 0

2 years ago

Find the equation of a line that is parallel to

Novosadov [1.4K]

Answer:

g(x) = 3x - 3

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

If a line is parallel to another, they have the same slope.

Step 1: Define variables

<em>m</em> = 3

Random pt (2, 3)

y = 3x + b

Step 2: Find <em>b</em>

3 = 3(2) + b

3 = 6 + b

b = -3

Step 3: Write parallel linear equation

y = 3x - 3

7 0

2 years ago

Keith exercises x hours a week. Troy exercises three hours less than Keith and Joe exercises two times more than Troy. Which exp

umka21 [38]

If Keith is represented by x, and Joe is three less than Keith, Troy is represented by x-3.
Then, we know that Joe exercises for twice the amount of time as Troy, we multiply the expression for Joe by two.

Keith = x
Troy = x-3
Joe = 2(x-3)

4 0

3 years ago

Write this in set notation [-13; 4 )

juin [17]

Answer:

$13\leq x$

Explanation:

If a side has a bracket [] then it is less than or equal to, meaning that it can reach that exact number.

However, if a side has a parentheses () then it is simply less than. It cannot be that exact number, but it can be even slightly less than that number.

6 0

2 years ago

The class with the largest median for hours spent studying is

musickatia [10]

The average number of jumps is 239, just add all the numbers and divide by the amount of numbers you have. Easy! Hope this helped!

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2 years ago