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3 years ago

what is the equation of the line that passes through (-9,12) and is perpendicular to the line whose equation is y=1/3x+6

Mathematics

2 answers:

BabaBlast [244]3 years ago

8 0

Y=kx+b
line is perpendicular y=1/3x+6⇒ k=- $\frac{1}{ \frac{1}{3} }$ =-3

so line y=-3x+a
this line that passes through (-9,12)⇔x=-9, y=12, so 12=-3(-9)+a
12=27+a
a=12-27
a=-15
y=-3x-15

P.s.picture to test solutions in the application

m_a_m_a [10]3 years ago

4 0

D: 1/3x-y+6, A(-9, 12)
md=-b/a=1/1/3=3, md=slope d

d`: y-yA=md(x-xA)
y-12=3(x+9)
y-12=3x+27
=> d`: 3x-y+15=0

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mamaluj [8]

Answer/Step-by-step explanation:

Volume of a cylinder is given as V = πr²h

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3 years ago

Q#7: Solve for the variable: 3(x+2) - 9 = 15 - 4(5x - 2) Make sure you round you answer to the nearest whole number.

masya89 [10]

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$\blue\textsf{\textbf{\underline{\underline{Question:-}}}}$

3(x+2)-9=15-4(5x-2)

$\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}$

First use the distributive property of both sides:-

3(x+2)-9=15-4(5x-2)

3x+6-9=15-20x+8

Now add 20x on both sides:-

23x+6-9=15+8

On simplification,

23x-3=23

Add 3 to both sides:-

23x=26

Divide by 23 on both sides:-

x=26/23

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3 0

1 year ago

What’s the answer to this?

babymother [125]

Answer:

○ $\displaystyle x > -3 \\ 5y ≥ -4x - 10$

Step-by-step explanation:

This system of inequalities has a shared portion at the origin, so we can easily jump to using the zero-interval test [test point (0, 0)] to verify the inequalities as false or true:

$\displaystyle 5[0] ≥ -4[0] - 10 → 0 ≥ -10$ ☑

$\displaystyle 0 > -3$ ☑

Plus, the top inequality has a dashed line ["<" or ">"], and the bottom inequality has a solid line, so this must have an equivalence line underneath each inequality symbol ["≤" or "≥"].

** Hold on though! Although it looks obvious about what the second inequality is, we need to double-check and make sure anyway, just to be on the safe side ☺:

$\displaystyle \frac{5y}{5} ≥ \frac{-4x - 10}{5} → y ≥ -\frac{4}{5}x - 2$

From the y-intercept of $\displaystyle [0, -2],$ we do $\displaystyle \frac{rise}{run}$ by either moving four blocks north over five blocks west or four blocks south over five blocks east [west and south are negatives]. This IS what our solid graph looks like, so we are correct!

So, from all what was explained, you have your answer.

I am joyous to assist you anytime.

8 0

2 years ago

How do you solve 4b^2+8b+-12=0. Also find the parabole.?

Likurg_2 [28]

First you divide everything by 4 which will become b^2+2b-3=0
Then you can factor this which is
(b-1)(b+3)=0
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B=-3 ... I think that's how you do it

4 0

3 years ago

I need help with this question

Rudiy27

Since the angle is positive, you can find any coterminal angle by applying:

Angle + x = 2π ==> 7π/6 + x = 2π ==> x = 2π - 7π/6

x= 12π/6 -7π/6 = 5π/6

So the angle 5π/6 is the coterminal of 7π/6

8 0

3 years ago