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4 years ago

How do you simplify and what is the answer

Mathematics

2 answers:

Advocard [28]4 years ago

4 0

factoring the denominators gives

7 / (x - 9)(x + 9) - x - 4 / (3x + 2 )(x - 9)

LCD = (x - 9)(x + 9)(3x + 2)

so this becomes 7(3x + 2) - (x - 4)(x + 9) / (x - 9)(x + 9)(3x + 2)

= 21x + 14 - (x^2 + 5x - 36) / (x - 9)(x + 9)(3x + 2)

= -x^2 - 16x + 50 / (x - 9)(x + 9)(3x + 2) answer

likoan [24]4 years ago

3 0

To simplify you must factor the polynomials first.

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When can a quadrilateral also be called a trapezoid?

mr_godi [17]

Answer:

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3 years ago

Use a scientific calculator to find the antilogarithm of each logarithm rounded to four decimal places.

attashe74 [19]

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3 years ago

While Brendan is vacationing with his family at the cabin, they take a motorboat on the river. The motorboat travels

taurus [48]

Part 1: The speed of the boat traveling downstream is $(18+w)$ miles per hr.

The speed of the boat traveling upstream is $(18-w)$ miles per hr.

Part 2: The speed of the current is 4 miles per hour.

Explanation:

Part (1): The motorboat travels 18 miles per hour in still.

Let w represents the speed of the current.

When the boat travels downstream, the speed of the current will get added to the speed of the boat.

Thus, the expression can be written as $(18+w)$ miles per hr

Hence, the speed of the boat traveling downstream is $(18+w)$ miles per hr.

When the boat travels upstream, the speed of the current will get subtracted to the speed of the boat.

Thus, the expression can be written as $(18-w)$ miles per hr.

Hence, the speed of the boat traveling upstream is $(18-w)$ miles per hr.

Part (2): The boat travels 49 miles upstream in the same time it takes to travel 77 miles downstream.

The distance formula is given by $distance $=$ speed $\times$ time$

Substituting, we have,

$49=(18-w)t\\49=18t-wt$ ---------------(1)

$77=(18+w)t\\77=18t+wt$ ---------------(2)

Solving using elimination method,

$49=18 t-w t\\77=18 t+w t\\-------\\126=36t$

Dividing both sides by 36, we have,

$t=3.5$

Substituting $t=3.5$ in $49=18 t-w t$ , we get,

$49=18(3.5)-w (3.5)\\$

$49=63-3.5w\\$

$-14=-3.5w\\$

$4=w$

Thus, the speed of the current is $w=4$ miles per hour.

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4 years ago

What is the length or area of shaded part?

Ivanshal [37]

Answer:

29.7345 square units

Step-by-step explanation:

Area of the shaded part = Area of the rectangle - Area of the quarter circle

Area of the rectangle = Length × Width = 10 × 8 = 80 square units

Area of the quarter circle = $\frac{1}{4}$ × π × r² (r for radius) = 0.25 × π × 8² = 50.2655 square units (answer rounded up to four decimal places)

Area of the shaded part = 80 square units - 50.2655 square units = 29.7345 square units

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3 years ago

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Step-by-step explanation:

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3 years ago