Ask question

Ask question

All categories

KonstantinChe [14]

3 years ago

11

Slope of a line perpendicular to 5x -9y = 1

1 answer:

romanna [79]3 years ago

7 0

The perpendicular line would have a slope of 1/3.

Perpendicular lines have opposite and reciprocal slopes. So first we have to find the slope of the original line. We can do this by solving the equation for y.

5x - 9y = 1

-9y = -5x + 1

y = 5/9x - 1/9

To do the opposite, take the original slope (5/9) and change the sign (-5/9).

To do the reciprocal, take the slope we changed (-5/9) and flip it as a fraction (-9/5).

This gives us a new slope of

You might be interested in

Use the side-splitter theorem to solve for x in the triangle below.

fiasKO [112]

Answer:

$x = 7$

Step-by-step explanation:

According to the side-splitter theorem, the two sides of the triangle is divided proportionally if the line that intersects both sides is parallel to the third side of the ∆.

Therefore, based on this theorem, we would have the following:

$\frac{x}{21} = \frac{8}{24}$

Solve for x

$\frac{x}{21} = \frac{1}{3}$

Multiply both sides by 21

$\frac{x}{21}*21 = \frac{1}{3}*21$

$x = \frac{21}{3}$

$x = 7$

8 0

2 years ago

Randy divides (2x4 – 3x3 – 3x2 + 7x – 3) by (x2 – 2x + 1) as shown below. What error does Randy make? x squared minus 2 x + 1 St

melomori [17]

Answer:

See attached sheet

Step-by-step explanation:

5 0

2 years ago

HELP ME WITH THIS PLEASE!!! COORDINATES!

likoan [24]

(0, 4)
(-1, -3)
(2, -3)

For a 90 degrees clockwise rotation, the rule is (y, -x)

7 0

3 years ago

How tall is the welcome sign

lisov135 [29]

Answer:

the sign is 5 ft tall

Step-by-step explanation:

30 % 12.5=2.4

12 % 2.4=5

4 0

2 years ago

OC and OR are similar. Find the length of QP.

Elena L [17]

Given:

Circle C and circle R are similar.

The length of arc AB is $s = \frac{22 \pi}{9}$

The radius of circle C (AC) = 4 unit

The radius of circle R (QR) =6 unit

To find the length of arc QP.

Formula

The relation between s, r and $\theta$ is

$arclength = 2\pi r \frac{\theta}{360}$

where,

s be the length of the arc

r be the radius

$\theta$ be the angle.

Now,

For circle C

Taking r = 4

According to the problem,

$2 \pi r \frac{\theta}{360} = \frac{22 \pi}{9}$

or, $2r \frac{\theta}{360} = \frac{22}{9}$ [ eliminating $\theta$ from both side]

or, $\theta = \frac{(22)(360)}{(9)(2)(4)}$

or, $\theta = 110^\circ$

Again,

For circle R

Taking, r = 6 and $\theta = 110^\circ$ we get,

The length of arc QP is

$arc length = 2\pi (6)(\frac{110}{360} )$

or, $arclength = \frac{11 \pi}{3}$

Hence,

The length of QP is $\frac{11 \pi}{3}$ . Option C.

5 0

2 years ago