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2 years ago

Determine the equation of the line with slope 3 that passes through the point (2, 0).

Mathematics

2 answers:

Hitman42 [59]2 years ago

8 0

Answer:

m=2y-3

Step-by-step explanation:

Dahasolnce [82]2 years ago

5 0

Answer:

y=3x-6

Step-by-step explanation:

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If a famer plows 2 acres every 3 hours how long will it take to plow 60 acres

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it take him 90 hrs to plow 60 acres

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3 years ago

5/6=x-10/3x+6 solution?

Ivan

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{x = - 10}}}}}$

Step-by-step explanation:

$\sf{ \frac{5}{6} = \frac{x - 10}{3x + 6} }$

Apply cross product property

⇒ $\sf{5(3x + 6) = 6( x - 10)}$

Distribute 5 through the parentheses

⇒ $\sf{15x + 30 = 6( x - 10)}$

Distribute 6 through the parentheses

⇒ $\sf{15x + 30 = 6x - 60}$

Move 6x to left hand side and change it's sign

⇒ $\sf{15x - 6x + 30 = - 60}$

Collect like terms

⇒ $\sf{9x + 30 = - 60}$

Move 30 to right hand side and change it's sign

⇒ $\sf{9x = - 60 - 30}$

Calculate

⇒ $\sf{9x = - 90}$

Divide both sides of the equation by 9

⇒ $\sf{ \frac{9x}{9} = \frac{ - 90}{9} }$

Calculate

⇒ $\sf{x = - 10}$

Hope I helped!

Best regards!!

3 0

3 years ago

Give all solutions if the nonlinear system of equations, including those with no real complex components.

konstantin123 [22]

$\left\{\begin{array}{ccc}y=x^2+6x\\4x-y=-24\end{array}\right\\\\substitute:\\\\4x-(x^2+6x)=-24\\\\4x-x^2-6x+24=0\\\\-x^2-2x+24=0\\\\a=-1;\ b=-2;\ c=24\\\\\Delta=b^2-4ac$

$\Delta=(-2)^2-4\cdot(-1)\cdot24=4+96=100\\\\x_1=\frac{-b-\sqrt\Delta}{2a};\ x_2=\frac{-b+\sqrt\Delta}{2a}\\\\\sqrt\Delta=\sqrt{100}=10\\\\x_1=\frac{2-10}{2\cdot(-1)}=\frac{-8}{-2}=4;\ x_2=\frac{2+10}{2\cdot(-1)}=\frac{12}{-2}=-6\\\\y_1=4^2+6\cdot4=16+24=40;\ y_2=(-6)^2+6\cdot(-6)=36-36=0\\\\Answer:\\x=4\ and\ y=40\ or\ x=-6\ and\ y=0$

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3 years ago

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If you divide 40 and 5 it equals $8 for 1 student ticket

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