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8090 [49]
3 years ago
14

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

Mathematics
2 answers:
Triss [41]3 years ago
7 0

Answer:

B

Step-by-step explanation:

Plug x as 4 and y as 2.

2 = 4 - 2

2 = 2 <em>True</em>

2 = 3(4) + 4

2 = 12 + 4

2 = 16 <em>False</em>

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.
<span>First we must find the third side (АС) of the triangle:
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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
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The smallest angle of the triangle lies opposite the smallest side, so we need to find m</span>∠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°


<span>I hope this helps</span>

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:

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15=(12-x)(2)

15=24–2x

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1 year ago
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8 0
3 years ago
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