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alex41 [277]
3 years ago
8

Write an equation for the line parallel to the line −4x−8=0 through the point (0,−9)

Mathematics
1 answer:
siniylev [52]3 years ago
3 0

Answer:

4y= -x - 28

Step-by-step explanation:

the products of the gradient of parallel lines is 1

m1 x m2=1.......(1)

8-4x=0

re-arranging we have

0=-4x +8

comparing with y=mx +c we have

m1=-4

put the value of m1 in eqn 1

-4 xm2 =1

m2 =-1\2

from the relation.....

m=y-y1\x-x1

put the value of m1 above

-1\2=y-(-9)\x-0

cross multiply

-1(x-8)=4(y+9)

-x +8=4y+36

re-arranging we have

4y=-x-36+8

4y=-x-28//

pls do ensure u tag me as brainliest

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Let u= <4,3>. Find the unit vector in the direction of u, and write your answer in component form.
aksik [14]
Take the vector u = <ux, uy> = <4, 3>.

Find the magnitude of u:

||u|| = sqrt[ (ux)^2 + (uy)^2]

||u|| = sqrt[ 4^2 + 3^2 ]

||u|| = sqrt[ 16 + 9 ]

||u|| = sqrt[ 25 ]

||u|| = 5

To find the unit vector in the direction of u, and also with the same sign, just divide each coordinate of u by ||u||. So the vector you are looking for is

u/||u||

u * (1/||u||)

= <4, 3> * (1/5)

= <4/5, 3/5>

and there it is.

Writing it in component form:

= (4/5) * i + (3/5) * j

I hope this helps. =)
3 0
3 years ago
What is the sum of (7x - 6y) and (x plus y)
Ymorist [56]
Heya user

we have

7x - 6y and x + y

according to the question

( 7x - 6y ) + ( x + y )

→ 7x - 6 y +x + y

→ 8x - 5y

Hope This helps you
3 0
3 years ago
Find the slope of the line passing through the points (-4,7) and (2,-9)
Ira Lisetskai [31]

Answer: The slope is -8/3

Step-by-step explanation: Use the slope formula y2-y1/x2-x1

so -9-7/2-(-4) = -16/6 which can be divided by 2 to get -8/3

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3 years ago
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