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3 years ago

2/3x+1/3y=2 in graph

Mathematics

1 answer:

Nady [450]3 years ago

6 0

Solve for y:

$\dfrac{2}{3}x+\dfrac{1}{3}y=2\ \ \ \ |\cdot3\\\\2x+y=6\ \ \ \ |-2x\\\\y=-2x+6$

It's the slope intercept form of a straight line.

We need only two points to draw a straight line.

$for\ x=0\to y=-2(0)+6=0+6=6\to(0;\ 6)\\for\ x=3\to y=-2(3)+6=-6+6=0\to(3;\ 0)$

Look at the picture.

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Solve for x And show work

klemol [59]

Answer:

x = -8

Step-by-step explanation:

1. Because the line the angles x + 96 and 100 + x are on is straight, it's a straight angle that results in 180°.

2. Given the above information, that means x + 96 + 100 + x = 180.

3. (Solving for equation above)

Step 1: Simplify both sides of the equation.

$(x+x) + (96+100)=180$
$2x + 196 = 180$

Step 2: Subtract 196 from both sides.

$2x + 196 - 196 = 180 - 196$
$2x = -16$

Step 3: Divide both sides by 2.

$\frac{2x}{2} = \frac{-16}{2}$
$x = -8$

Step 4: Check if solution is correct.

$-8 + 96 + 100 - 8 = 180$
$88 + 100 - 8 = 180$
$188-8=180$
$180=180$

Therefore, x = -8.

6 0

2 years ago

Read 2 more answers

The quotient of 794.1 divided by 7.61, expressed to two decimal places, is A. 104.35. B. 95.83. C. 786.49. D. 1,043.50.

AysviL [449]

The question asks us to find the quotient of 794.1 by 7.61, expressed to two decimal places. First we will divide those two numbers: 794.1 : 7.61 = 104.34954. Then we have to round the result to the 2 decimal places. After 104.34 is 9 so we have to round the number to 104.35. Answer: The quotient is 104.35.

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3 years ago

Determine the point on the hyperbola 3x^2−10y^2=20 closest to the point (0, -7).

stepan [7]

Answer:

Step-by-step explanation:

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3 years ago

Given: x - 6.3333 ≤ 1.5 .

Inessa05 [86]

Answer:

$x$ or $(-\infty, 47/6]$