All categories

3 years ago

Write the point-slope form of the line passing through (2, -12) and perpendicular to y = 3x.

Mathematics

1 answer:

scoundrel [369]3 years ago

8 0

Answer:

y+12 = -1/3(x-2)

Step-by-step explanation:

y = 3x

The slope is 3

Lines perpendicular have a slope that is the negative reciprocal

-1/3 is the slope of a line that is perpendicular

Point slope form is

y-y1 = m(x-x1) where m is the slope and (x1,y1) is the point on the line

y --12 = -1/3(x-2)

y+12 = -1/3(x-2)

You might be interested in

Which expression converts 8 radians to degrees?

damaskus [11]

Answer:

Step-by-step explanation:

To convert from radians to degrees use the formula:180°/π

5 0

2 years ago

Read 2 more answers

What combination of transformations is shown below?

saw5 [17]

Answer:

Rotated then reflected.

Step-by-step explanation:

3 0

2 years ago

What are the solutions to the equation 3x^2 + 15x = 18. Show your work.

balandron [24]

Assignment: $\bold{Solve \ Equation: \ 3x^2+15x=18}$

<><><><><><><>

Answer: $\boxed{\bold{x=1,\:x=-6}}$

<><><><><><><>

Explanation: $\downarrow\downarrow\downarrow$

<><><><><><><>

[ Step One ] Subtract 18 From Both Sides

$\bold{3x^2+15x-18=18-18}$

[ Step Two ] Simplify

$\bold{3x^2+15x-18=0}$

[ Step Three ] Solve With Quadratic Formula

Note: $\bold{For\:a\:quadratic\:equation\:of\:the\:form\: ax^2+bx+c=0}$

$\bold{the \ solutions \ are \ x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}}$

$\bold{a=3,\:b=15,\:c=-18:\quad x_{1,\:2}=\frac{-15\pm \sqrt{15^2-4\cdot \:3\left(-18\right)}}{2\cdot \:3}}$

<><><><><><><>

$\bold{\frac{-15+\sqrt{15^2-4\cdot \:3\left(-18\right)}}{2\cdot \:3}: \ 1}$

$\bold{\frac{-15-\sqrt{15^2-4\cdot \:3\left(-18\right)}}{2\cdot \:3}: \ -6}$

[ Step Four ] Combine Solutions

$\bold{x=1,\:x=-6}$

<><><><><><><>

$\bold{\rightarrow Mordancy \leftarrow}$

5 0

2 years ago

Read 2 more answers

3) What is the value of n? *<br> 2n - 36

Kryger [21]

Answer:

ans is behind it

Step-by-step explanation:

hope it helps uh

3 0

2 years ago

A section of ground measures 1.5 cubic meters and contains 0.78 gram of gold. What is the amount of gold per cubic meter? Enter

Marta_Voda [28]

To find the gold per cubic meter you have to divide the amount of gold by the size of the area. So you would do .78/1.5 which would give you .52g/m3

3 0

3 years ago