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2 years ago

Why do translations produce parallel lines

1 answer:

7 0

Answer:The distance between the lines stays constant, and they never intersect. In other words, you can translate (move) either line by that constant distance, in some direction, to get the other line. It's just like how when you change the y-intercept but keep the slope the same, you get parallel lines.

Step-by-step explanation:

Hope this helps ツ

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Does anyone know how he got from step 1 to step 2??????????

padilas [110]

9514 1404 393

Explanation:

Both sides of the equation are squared.

$\dfrac{x-12}{4}=\sqrt{x} \qquad\text{given}\\\\ \left(\dfrac{x-12}{4}\right)^2=x \qquad\text{square both sides}\\\\ \left(\dfrac{x}{4}-3\right)^2=x \qquad\text{divide out the fraction}\\\\ \dfrac{x^2}{4^2}-\dfrac{6}{4}x+9=x \qquad\text{$(a-b)^2=a^2-2ab+b^2$}\\\\\dfrac{x^2}{16}-\dfrac{5x}{2}+9=0 \qquad\text{subtract $x$}$

I like this better without fractions, so would multiply by 16 at this point (or earlier).

x^2 -40x +144 = 0

(x -36)(x -4) = 0

x = 4 or 36 . . . . . . x = 4 is extraneous

The solution is x = 36.

3 0

3 years ago

Find the remainder when 3x^3+ 6x-1 is divided by x-3

Sauron [17]

Answer:

Step-by-step explanation:

by remainder theorem p(3) is the remainder

and therefore it is 93

3 0

2 years ago

What is the surface area of the cylinder with height 5 mi and radius 6 mi? Round your answer to the nearest thousandth.

Delicious77 [7]

Step-by-step explanation:

Given

h = 5 mi

r = 6 mi

Surface Area of Cylinder =

$2\pi \: rh + 2\pi {r}^{2} \\ = 2\pi(6)(5) + 2\pi ({6}^{2}) \\ = 2\pi(30) + 2\pi(36) \\ = 60\pi + 72\pi \\ = 132\pi \\ = 414.690 {mi}^{2} (nearest \: thousandth)$

5 0

2 years ago

Read 2 more answers

A group of friends were working on a student film that had a budget of $700. They used 42% of their budget on equipment. How muc

goldfiish [28.3K]

Answer:

294

Step-by-step explanation:

100%-> 700

42%->294

5 0

2 years ago

Find endpoint with given endpoint and midpoint

TEA [102]

Answer:

(21, 17 )

Step-by-step explanation:

Using the midpoint formula and equating to the coordinates of the midpoint.

Let endpoint 2 have coordinates (x, y ), then

0.5(x - 3) = 9 ( multiply both sides by 2 )

x - 3 = 18 ( add 3 to both sides )

x = 21

and

0.5(y - 5) = 6 ( multiply both sides by 2 )

y - 5 = 12 ( add 5 to both sides )

y = 17

endpoint 2 = (21, 17 )

3 0

3 years ago