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stepladder [879]
3 years ago
14

Is this equation linear: 2y=x+x+1

Mathematics
1 answer:
Makovka662 [10]3 years ago
3 0

An equation between two variables that gives a straight line when plotted on a graph.

2y = x+ x+ 1

2y = 2x + 1

y = (2x+ 1) /2

y = x + 1/2

According to the graph, this equation is linear

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The region bounded by y=(3x)^(1/2), y=3x-6, y=0
Ganezh [65]

Answer:

4.5 sq. units.

Step-by-step explanation:

The given curve is y = (3x)^{\frac{1}{2} }

⇒ y^{2} = 3x ...... (1)

This curve passes through (0,0) point.

Now, the straight line is y = 3x - 6 ....... (2)

Now, solving (1) and (2) we get,

y^{2} - y - 6 = 0

⇒ (y - 3)(y + 2) = 0

⇒ y = 3 or y = -2

We will consider y = 3.

Now, y = 3x - 6 has zero at x = 2.

Therefor, the required are = \int\limits^3_0 {(3x)^{\frac{1}{2} } } \, dx - \int\limits^3_2 {(3x - 6)} \, dx

= \sqrt{3} [{\frac{x^{\frac{3}{2} } }{\frac{3}{2} } }]^{3} _{0} - [\frac{3x^{2} }{2} - 6x ]^{3} _{2}

= [\frac{\sqrt{3}\times 2 \times 3^{\frac{3}{2} }  }{3}] - [13.5 - 18 - 6 + 12]

= 6 - 1.5

= 4.5 sq. units. (Answer)

7 0
3 years ago
Which expression is equivalent to the following expression: 15 + 6x A. 3(5 +2x) B. 3(5 + 6x) C. 21x D. 15(6x)​
Makovka662 [10]
It’s on photomath ifyou have it
7 0
3 years ago
Can someone help me with these please
Savatey [412]

Answer:

the answer is cubes curve

4 0
3 years ago
An airplane travels about 1,500 Km in a straight line between Toronto and Winnipeg. However, the plane must climb to 10,000 m du
Anna007 [38]

Answer:416

Step-by-step explanation: Based on the given problem above, it requires a trigonometric solution. So here it goes:

The climb distance is:200 * Sec [ArcTan [10/200]] = 10√ 401 km

and the decent distance is:300 * Sec [ArcTan [10/300]] = 10√901 km

So add the given results above with 500 km and this will be the additional distance that plane moves through the air.

The answer would be in the unit meters.

((10√401 +10√901−500)∗1000)=416 meters

Hope this is the answer that you are looking for.

7 0
3 years ago
WILL MARK BRAINLY IF CORRECT!
bogdanovich [222]

Answer:

15

Step-by-step explanation:

The given equation is

12( -  \frac{1}{6}x  -  \frac{2}{3}y =  - 5)

5( \frac{2}{5} x +  \frac{1}{5} y =  - 9)

When we multiply we obtain the equations:

- 2x  -  8y =  - 60

2x + y =  - 45

We add both equations to obtain:

- 7y =  - 105

Divide both sides by -7 to get:

y =  \frac{105}{7}  = 15

6 0
3 years ago
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