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3 years ago

How do I solve this equation and check all the solutions?

Mathematics

2 answers:

mash [69]3 years ago

6 0

Answer:

Step-by-step explanation:

x-√2x-5=5

-√2x-5=5-x

√2x-5=-5+x

2x-5=x²-10x+25

2x-5-x²+10x-25=0

12x-20-x²=0

-x²+12x-20=0

x²-12x+20=0

x=10

Note: there is a another answer x=2 but the equality will be false if x=2 so the answer is 10

Eddi Din [679]3 years ago

5 0

The answer I got was: x = 0,2

Hope this helps! ;)

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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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3 years ago

HELP PLEASE i dont know what im doing

abruzzese [7]

Answer:

Its the third option

Step-by-step explanation:

because they are mirroring each other on the two different lines, it shows the two lines are parallel

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3 years ago

Find the value of x. Round to the nearest tenth.

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Answer:

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Step-by-step explanation:

cos 36° = 12/x

x = 12 /cos 36°

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3 years ago

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Answer:

Step-by-step explanation:

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3 years ago

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<em>The coordinates for each point would be:</em>

M': (2,-2)

N': (4, 2)

O': (8, -1)

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M to M': (0 + 2, 4 - 6), then (2, -2)

N to N': (2 + 2, 8 - 6), then (4, 2)

O to O': (6 = 2, 5 - 6), then (8, -1)

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3 years ago