Mathematics, 18.07.2019 10:00 aero8030

Which lines are perpendicular to the line y – 1 = 1/3 (x+2)? check all that apply. y + 2 = –3(x – 4) y − 5 = 3(x + 11) y = -3x – 5/3 y = 1/3x – 2 3x + y = 7

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Answer from: hopkinbr

Hey there! :)

Which lines are perpendicular to y - 1 = 1/3(x + 2) ?

Well, we know that lines that are perpendicular to one another have slopes that are the negative reciprocal of one another, so we must find the negative reciprocal of our given slope.

1/3 → -3

So, let's look up at our answer choices - which lines have "-3" as the slope?

First, we must simplify all of answer choices.

y + 2 = -3(x - 4) → y + 2 = -3x + 12 → y = -3x + 10

y - 5 = 3(x + 11) → y - 5 = 3x + 33 → y = 3x + 28

y = -3x - 5/3 → already simplified.

3x + y = 7 → y = -3x + 7

Using these simplified equations, we now know which lines are perpendicular to our given line.

∵ y + 2 = -3(x - 4)

∵ y = -3x - 5/3

∵ 3x + y = 7

Those bullet-ed equations are your answer!

~Hope I helped!~

Answer from: Realieeee15

The given line has slope (1/3). Any new line perpendicular to the given line must therefore have slope -3, which is the negative reciprocal of (1/3).

Which of the given answer choices show slopes of -3?

Answer from: Quest

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

$x^2-2x+y^2-6y=26$

we now create space between the x and y terms with parenthesis.

$(x^2-2x)+(y^2-6y)=26$

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

$\frac{-2}{2} =(-1)^{2} =1$

$\frac{-6}{2} =(-3)^{2} =9$

we add the squares to both sides.

$(x^2-2x+1)+(y^2-6y+9)=26+1+9$

simplify.

$(x^2-2x+1)+(y^2-6y+9)=36$

and write the quadratics in factored form.

$(x-1)^{2} +(y-3)^{2} =36$

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.

Answer from: Quest

If i think this is what your asking, he should look at the grams or pounds/ounces and compare the to their cost then max can identify which one is proportional and which is not ( i think xd)

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Which lines are perpendicular to the line y – 1 = 1/3 (x+2)? check all that apply. y + 2 = –3(x – 4...