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3 years ago

What is the parallel to 2x-3y=6 and passing through(-3,1) ...?

1 answer:

5 0

Parallel lines have equal slopes.

$2x-3y=6
\\-3y=-2x+6
\\
\\y= \frac{2}{3} x-2
\\
\\m= \frac{2}{3}
\\
\\(-3,1) \Rightarrow x_1=-3,y_1=1
\\
\\y-y_1=m(x-x_1)
\\
\\y-1=\frac{2}{3}(x-(-3))
\\
\\y-1=\frac{2}{3}(x+3)
\\
\\y-1=\frac{2}{3}x+2
\\
\\3y-3=2x+6
\\
\\2x-3y+9=0$

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16 liters to fraction

Tcecarenko [31]

Answer:

16 liters to a fraction would be 4.2 or 4 1/5

Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

The profit, in dollars, of a small business can be modeled by the function P(x)=0.3x^2+7x-40, where c is the number of units sol

ra1l [238]

Answer:

The correct answer is 10 units.

Step-by-step explanation:

Profit function of a small business is given by P(x) = 0.3 $x^{2}$ + 7x - 40, where x is the number of units sold.

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To find out the number of units the business has to sell in order to have a profit of $60 is given by,

P(x) = 0.3 $x^{2}$ + 7x - 40 = 60

⇒ 0.3 $x^{2}$ + 7x - 100 = 0

⇒ 3 $x^{2}$ + 70x - 1000 = 0

⇒ x = -70 ± $\sqrt{(70)^{2} + 12000}$ × $\frac{1}{6}$

⇒ x = -70 ± 130 × $\frac{1}{6}$

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2 years ago

Math problem for high school

dedylja [7]

Answer:

50/3

Step-by-step explanation:

area of triangle = 10

area of circle = 10

area of triangle + area of circle = 20

The white sector of the circle has central angle 60°.

Its area is 1/6 the area of the circle.

To find the gray area, you must subtract the white area from the area of the circle and also subtract the white area from the area of the triangle. Two times the white area is 1/3 the area of the circle.

gray area = 20 - (1/3)10

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Answer:

Step-by-step explanation:

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