All categories

3 years ago

Which is the slope of a line that is perpendicular to the line represented by the equation x-y = 8

Mathematics

2 answers:

Marat540 [252]3 years ago

8 0

Answer:

-1

Step-by-step explanation: from the equation, x-y=8, make y the subject of the formulae , this gives - y= -x +8

divide all through by (-) sign, this gives y= x - 8

from the last equation above, the slope is the coefficient of x which is 1. since it is perpendicula, the answer is -1

by co efficient, we mean the number multiplying the unknown

aliya0001 [1]3 years ago

3 0

Answer:

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange x - y = 8 into this form by subtracting x from both sides

- y = - x + 8 ( multiply through by - 1 )

y = x - 8 ← in slope- intercept form

with slope m = 1

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{1}$ = - 1 → D

You might be interested in

A motorcycle is traveling at a constant speed of 45 miles per hour. how many feet does it travel in 6 seconds? remember that 1 m

Fantom [35]

Answer:

The total number of feet travelled by the motorcycle is 396 feet

Step-by-step explanation:

Using the constant speed relationship with the distance:

v = s/t

From the above equation the distance travelled will be:

s = v * t (i)

We are given with the v, that is:

v = 45 miles per hour

Converting in to feet per second.

v = (45 * 5280)/3600 feet / s

v = 66 feet per second

Now, put that v and t in equation (i)

s = 66 * 6

s = 396 feet

5 0

2 years ago

PLEASE SOMEONE HELP ME!!! I WILL GIVE BRAINLIEST TO CORRECT ANSWER!!! PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS

taurus [48]

8.8 squared + 9.5 squared = square root 12.94 rounded 12.1

3 0

3 years ago

Kate walks half a mile to the library. how many yards does she walk?

Novosadov [1.4K]

880 yards.

Explanation:

In one mile, there are 1760 yards. To find half of that, divide 1760 by two.
1760 ÷ 2 = 880

5 0

3 years ago

Read 2 more answers

Let L be the line parametrized by x = 2 + 2t, y = 3t, z = −1 − t. (a) Find a linear equation for the plane that is perpendicular

Elden [556K]

Answer:

Step-by-step explanation:

Given that L is a line parametrized by

$x = 2 + 2t, y = 3t, z = −1 − t$

The plane perpendicular to the line will have normal as this line and hence direction ratios of normal would be coefficient of t in x,y,z

i.e. (2,3,-1)

So equation of the plane would be of the form

$2x+3y-z =K$

Use the fact that the plane passes through (2,0,-1) and hence this point will satisfy this equation.

$2(2)+3(0)-(-1) =K\\K =5$

So equation is

$2x+3y-z =5$

b) Substitute general point of L in the plane to find the intersecting point

$2(2+2t)+3t-(-1-t) =5\\4+8t+1=5\\8t=0\\t=0\\(x,y,z) = (2,0,-1)$

i.e. same point given.

3 0

3 years ago

Use compatible numbers to estimate the quotient 2,545÷4

victus00 [196]

Answer:

600

Step-by-step explanation:

round 2,545 to 2,400 and keep 4 the same because 24 goes into 4 six times so 2400/4 equals 600

24/4 is 6 and you add the two zeros

3 0

3 years ago