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3 years ago

Find the following measure for this figure. 12 10

Mathematics

1 answer:

gregori [183]3 years ago

3 0

Answer:

13 units

Step-by-step explanation:

Using the right triangle formed by the 2 legs and the slant height s

The legs are 12 and 10 ÷ 2 = 5, with hypotenuse s

Using Pythagoras' identity in the right triangle, then

s² = 12² + 5² = 144 + 25 = 169 ( take the square root of both sides )

s = $\sqrt{169}$ = 13

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Given f'(x) = (x-4)(4-2x), find the x-coordinate for relative maximum on the graph of f(x)

antiseptic1488 [7]

Answer:

The coordinate of the relative maximum is x=4.

Step-by-step explanation:

Given that the derivative of the function $f(x)$ is $f'(x) = (x-4)(4-2x)$ , the maxima and minima or the critical points can be found where $f'(x)=0,$ that is:

$f'(x) = (x-4)(4-2x)=0.$

The solutions to this equation are $x=4$ and $x=2.$

Now, if the second derivative $f''(x)$ for a function $f(x)$ is negative at a critical point, then the critical point is the relative maximum.

Therefore we want to see at which of the two critical points is $f''(x)$ negative. The second derivative is:

$\frac{\mathrm{d f'(x)}}{\mathrm{d}x}=f''(x)=-4(x-3).$

Now $f''(4)$ is $-4$ , and $f''(2)$ is $+4$ , therefore we deduce that the relative maxium is located at $x=4$ , because there the second derivative $f''(x)$ is negative.

4 0

3 years ago

HELP ASAP and whoever gets it right can have brainliest!

RideAnS [48]

Answer:

3*8*10=240! i think

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

He is paid a commission of 9 percent of his first $6,000 in sales during the month and 14 percent on all sales over $6,000. What

Agata [3.3K]

Answer:

$1,956.80

Step-by-step explanation:

For amounts over $6000, the commission can be computed as ...

0.14s -300 . . . . . . for sales (s) ≥ 6000

So, for $16,120 in sales, the commission is ...

0.14×$16,120 -300 = $2,256.80 -300 = $1,956.80

The commission schedule suggests that for larger amounts, you divide the problem into two parts: calculate the commission on $6000, and separately calculate the commission on the amount over $6000.

0.14(s -6000) + 0.09(6000)

= 0.14s - 0.14·6000 +0.09·6000

= 0.14s -300 . . . . the formula used above for s ≥ 6000

6 0

3 years ago

2x + 3y is less than or equal to 15

Sholpan [36]

Answer:

less

Step-by-step explanation

sorry if I'm wrong

5 0

3 years ago

Helppppp mathhhhhhhhhhh

tester [92]

DEF is a isosceles right triangle, so DE =EF. apply Pythagoras:

DF² = DE² + EF² , BUT DE = DF .then DB² = 2DE² = 28²

DE² = 28/2 = 14 and DE = √14 = 3.71 ≈3.7

4 0

3 years ago