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MrRissso [65]
3 years ago
5

what �is the equation of a line that is perpendicular to the line  y = − 2 5 x − 5 y = - 2 5 x - 5 and passes thr

ough the point  ( 6 , 1 )
Mathematics
1 answer:
gladu [14]3 years ago
8 0

Answer:

y=\frac{1}{25}x-\frac{31}{25}

Step-by-step explanation:

y=-25x-5

You can get the gradient of the line perpendicular to this as you know the products of their gradients will be -1.

-25*m_{perpendicular}=-1\\m_{perpendicular}=\frac{1}{25}

We have a gradient, and a point (6, 1), so we can now substitute our known values into the line equation.

(y-y_0)=m(x-x_0)

y-1=\frac{1}{25} (x-6)

Rearrange for y and collect terms.

y=\frac{1}{25}x-\frac{6}{25}-1\\\\y=\frac{1}{25}x-\frac{31}{25}

You might be interested in
Which pair of lines is parallel? A. y=4x+1 and y+4=5 B. y=-2+x and 2y-2x=-2 C. y=1/4x + 2 and y-2=1/2x D. y=1/5x+1 and 5y+x= 10
sdas [7]

Answer:

B. y=-2+x and 2y-2x=-2

Step-by-step explanation:

Two lines are parallel if they have the same slope.

The equation 0of a line is tipically written as y=mx + b, where 'm' represents the slope and 'b' the y-intercept.

Let's evaluate each of the options:

A. y=4x+1 and y+4x=5

Writing the equations in the slope-intercept form, we get:

y=4x+1 → m=4

y=5-4x → m=-4

Given that they have different slopes, they are not parallel.

B. y=-2+x and 2y-2x=-2

Writing the equations in the slope-intercept form, we get:

y=-2+x → m=1

y=-1 + x → m=1

Given that the equations have the same slope, they are parallel.

C. y=1/4x + 2 and y-2=1/2x

Writing the equations in the slope-intercept form, we get:

y=1/4x + 2  → m=1/4

y=1/2x+2 → m=1/2

Given that they have different slopes, they are not parallel.

D. y=1/5x+1 and 5y+x= 10

Writing the equations in the slope-intercept form, we get:

y=1/5x+1 → m=1/5

5y+x= 10 → y=2 - 1/5x → m=-1/5

Given that they have different slopes, they are not parallel.

4 0
3 years ago
Help me put this in order please help thanks
KATRIN_1 [288]
1. 8
2. 15
3. 2
4. 1/2
5. 3
those are the answers in order, hope this helps!
5 0
3 years ago
Help please, my brains is empty :o(
den301095 [7]

Answer:

I think 5 and 5 are equal so the angles are equal which are 70,70

Step-by-step explanation:

70+70+x=180

140+x=180

x=40

6 0
3 years ago
Leila, Charlie, and Joe have a total of $144 in their wallets. Joe has 4 times what Leila has. Charlie has $6 more than Leila. H
ollegr [7]

Answer:

The amounts of money each has are:

Joe = $92

Charlie = $29

Leila = $23

Step-by-step explanation:

To solve this, we will convert the statements into an equation, and use that to solve for the unknowns, as follows:

total amount = $144

Let Leila's share be S

Joe's share = 4 times Leila's = 4S

Charlie's share = $6 + Leila's share = 6 + S

Joe's share + Charlie's Share + Leila's Share = $144

4S + (6 + S) + S = 144

4S + 6 + S + S = 144

4S + 2S + 6 = 144

6S + 6 = 144

6S = 144 - 6 = 138

S = 138 ÷ 6 = $23

Therefore Leila's share 'S' = $23

Joe share= 4S = 4 × 23 = $92

Charlie's share = 6 + 23 = $29

8 0
3 years ago
What times what equals 6
Natalka [10]
Three Times Two Equals Six or Two Times Three Equals Six
Six Times One Equals Six

7 0
3 years ago
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