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3 years ago

Is (4,2) a solution of the system?

Mathematics

2 answers:

Triss [41]3 years ago

7 0

Answer:

Step-by-step explanation:

Plug x as 4 and y as 2.

2 = 4 - 2

2 = 2 True

2 = 3(4) + 4

2 = 12 + 4

2 = 16 False

lara [203]3 years ago

3 0

Answer:

No.

Step-by-step explanation:

Substitute 4 (as x) and 2 (as y) into the 2 equations to see if they fit.

y = x - 2

2 = 4 - 2

2 = 2

The first equation is true for (4,2).

Now try the 2nd one.

y = 3x + 4

2 = 3(4) + 4

2 ≠ 16

So the 2nd equation is not true for (4,2).

Either one not true makes the solution incorrect.

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In a triangle, two sides that measure 8 centimeters and 11 centimeters form an angle that measures 82°. to the nearest tenth of

Gwar [14]

We can use the Сosine formula to solve this problem.
First we must find the third side (АС) of the triangle:

$AC^2=AB^2+BC^2-2*AB*BC*cos82^o \\ AC^2=8^2+11^2-2*8*11*0.1392 \\ AC^2=64+121-24.4992= 160.508 \\ AC= \sqrt{160.508} \approx 12.67 \ cm$

The smallest angle of the triangle lies opposite the smallest side, so we need to find m∠C.

$cosC= \frac{AC^2+BC^2-AB^2}{2*AC*BC} \\ \\ cosC= \frac{12.67^2+11^2-8^2}{2*12.67*11}= \frac{160.53+121-64}{278.74} = \frac{217.53}{278.74} \approx 0.7804$

Now we can use Bradis's Table (I don't know the name in English, maybe Trigonometric Table?) to find m∠C:

m∠С = 38°42' = 38.7°

Answer: 38.7°

I hope this helps

7 0

3 years ago

What does x equals in 2x + 16= -26

vredina [299]

Answer:

-21

Step-by-step explanation:

-21 x 2 = -42 -42+16= -26

7 0

2 years ago

A boat takes 2 hours to travel 15 miles upriver against the current. if the rate of the boat in still water is 12 miles per hour

OLga [1]

Answer:

4.5 mph or 9/2 mph

Step-by-step explanation:

Let x be the rate of the current

Formula: Distance = rate x time

where rate upstream =(12-x) and time =2 hours

15=(12-x)(2)

15=24–2x

2x=24–15

2x= 9

x=9/2=4.5 miles per hour (rate of current)

7 0

1 year ago

E^4x-1=3 please help what is the exact solution

Roman55 [17]

combine like terms4ln(x) = 8

divide both sides by 4.ln(x) = 2

exponentiate both sides.eln(x) = e^2

inverse property of exponents and logs x = e^2
pls return favor and answer question in profile pls

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3 years ago

A soccer team lost 30% of its games. Suppose the team won 14 games. How many games did the team play?

-BARSIC- [3]

They would have played 20 games altogether

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3 years ago