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1 year ago

If AB = 15, what is the length of ? 18 16 14 12

Mathematics

1 answer:

MaRussiya [10]1 year ago

4 0

Use Power of a point.

(can prove using similarity of the triangle)

AC*CB = DC*CE

8*7 = 4*CE

CE = 14

DE = DC+CE = 4+14 = 18

Ans: 18

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Find first derivative f(x)= x² - 4 /x³ + 9

vitfil [10]

Answer:

f'(x) = 2x + $\frac{12}{x^{4} }$

Step-by-step explanation:

differentiate using the power rule

$\frac{d}{dx}$ ( a $x^{n}$ ) = na $x^{n-1}$

Given

f(x) = x² - $\frac{4}{x^3}$ + 9 = x² - 4 $x^{-3}$ + 9 , then

f'(x) = 2x + 12 $x^{-4}$ = 2x + $\frac{12}{x^{4} }$

5 0

1 year ago

Read 2 more answers

It costs $10.99 per month for an online video streaming service. Jackie watched 28 videos in one month. What was the price per v

Kitty [74]

Answer:

Assuming it's actually charging per video, and not just for a subscription, the cost per video would be .40 (40 cents per movie)

Step-by-step explanation:

10.99 / 28 =

.3925

Which rounded up is .40

3 0

3 years ago

How would you ESTIMATE 0.9% of 603?

wariber [46]

0.9<span>% of </span>603<span> = 5.43
so estimated is 5.40</span>

6 0

3 years ago

A rectangle room is 12 1/2 feet long and 10 1/3 feet wide. what is the area of the room

Veronika [31]

Answer:

129 1/6 feet

Step-by-step explanation:

Formula for area is L*W

1. convert the mixed numbers to improper fractions

12 1/2 feet = 25/2

10 1/3 feet = 31/3

2. multiply numerator by numerator (25*31 = 775

3. multiply denominator by denominator (2*3=6

4. convert improper fraction 775/6 into a mixed number by dividing 775 by 6.

5. 775/6 = 129 r. 1 or 129 and 1/6

4 0

2 years ago

Given that 2x − 1∶ − 4 = 16x + 1 ∶ 2x − 1 find the possible values of

IRISSAK [1]

The possible values of x are 5 and -1/12

<h3>Complete question</h3>

Given that 2x − 1∶ x − 4 = 16x + 1 ∶ 2x − 1 find the possible values of x

<h3>How to determine the possible values of x?</h3>

The ratio is given as:

2x − 1∶ x − 4 = 16x + 1 ∶ 2x − 1

Express as fraction

$\frac{2x - 1}{x-4} = \frac{16x + 1}{2x -1}$

Cross multiply

4x^2 -4x + 1 = 16x^2 + x -64x - 4

Collect like terms

-16x^2 + 4x^2 + 64x - x - 4x + 1 + 4 = 0

Evaluate the like terms

-12x^2 + 59x + 5 = 0

Divide through by -1

12x^2 - 59x - 5 = 0

Expand

12x^2 + x - 60x - 5 = 0

Factorize

x(12x + 1) - 5(12x + 1) = 0

Factor out 12x + 1

(x - 5)(12x + 1) = 0

Expand

x - 5 = 0 or 12x + 1 = 0

Solve for x

x = 5 or x = -1/12

Hence, the possible values of x are 5 and -1/12