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2 years ago

Write the equation of a line perpendicular to y=3x-2 through the point (-5,8).

Mathematics

1 answer:

TEA [102]2 years ago

6 0

Answer:

y=-1/3x +29/3

Step-by-step explanation

We know that the line perpendicular to a slope of 3 is it's opposite reciprocal. So the slope is -1/3. Substitute -5 as X and 8 as Y so you get:

8= -5/3x +b.

B= 29/3

That's your answer.

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Find an equation of the plane through the point (−1,−5,−2)(−1,−5,−2) with normal vector n=⟨−5,−4,−1⟩n=⟨−5,−4,−1⟩.

Ostrovityanka [42]

Consider this option:
1. given: n(A;B;C)=n(-5;-4;-1) and A(-1;-5;-2)=A(x₀;y₀;z₀).
Common view of equation for a plane is Ax+By+Cz+D=0, where A,B,C,D - numbers.
2. from another side using coordinates of A and normal vector it is possible to make up the equation: A(x-x₀)+B(y-y₀)+C(z-z₀)=0 ⇒ -5(x+1)-4(y+5)-(z+2)=0; ⇒ -5x-4y-z-27=0 or 5x+4y+z+27=0.

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3 years ago

Which of the following is the square root of 17 to the nearest tenth? A) 2.9 O B) 2 O C) 4.1 OD) 6.9

katrin2010 [14]

Answer: 4.1

Step-by-step explanation:

8 0

2 years ago

The income tax policy for residents of a tiny island nation that uses U.S. Dollars as its currency is as follows: The first $20,

Stells [14]

Answer:

0.10(20,000) + 0.18(30,000) + 0.27(x − 50,000)

Step-by-step explanation:

Let's take this one step at a time. First, the $20000 dollars is taxed by 10% = .10 as a decimal. So the first term is

.10(20000)

Next, we have to add on the second term, wherein the next $30000 is taxed by .18. So the second term is

.10(20000) + .18(30000)

Then, we have to take whatever's left, whatever we haven't yet taxed, and tax it at a 27% rate. This means x-50000, not x, because we're taking whatever's over the initial 50000 that we've already taxed.

0.10(20,000) + 0.18(30,000) + 0.27(x − 50,000)

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2 years ago

How do u slove systems by elemination -12x+6y=18 6x-7y=-5

vitfil [10]

You need to add one equation to the other. To do this, multiply the divide the entire equation by 2. The resulting equation gives: -6x + 3y = 9
Now, add this to the second. Doing this will cancel out the 6xs because they are opposite signs.
-4y = 4 is your simplified equation.
Solve for y: y = -1
Plug this into an original equation.
-12x + 6(-1) = 18
-12x -6 = 18
-12x = 24
x = -2

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3 years ago

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Plssss helppppp, this is geometry

ddd [48]

Answer:

Step-by-step explanation:

measure angle b

add it with 90

90 + b = A

and create an angle with the measure of sum (A)

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2 years ago

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