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nignag [31]
2 years ago
10

What is the graph of the equation y = -1/4 x + 2

Mathematics
1 answer:
lisabon 2012 [21]2 years ago
8 0

Answer:

Y=(-1/4)(x)+2

y= -1/4x+2

Step-by-step explanation: Hope this helo

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Find the line through (3, 1, −2) that intersects and is perpendicular to the line x = −1 + t, y = −2 + t, z = −1 + t. (HINT: If
mel-nik [20]

Answer:

( xo , yo , zo ) = ( 1 , 0 , 1 )

Step-by-step explanation:

Given:-

- A line passing through point (3, 1, −2) intersects and is perpendicular to line with coordinates:

                  x = −1 + t, y = −2 + t, z = −1 + t   .... t = arbitrary parameter.

Find:-

The coordinates for point of intersection.

Solution:-

- The line that passes through point (3, 1, −2) = ( a, b , c ) and an a arbitrary point on the given line have the following direction vector d2 :

                 d2 = ( x2 , y2 , z2 )

                 x2 = a - ( x ) = 3 - ( -1 + t ) = 4 - t

                 y2 = b - ( y ) = 1 - ( -2 + t ) = 3 - t

                 z2 = c - ( z )  = -2 - ( -1 + t ) = -1 - t

                d2 = (  4 - t , 3 - t , -1 - t )

- The direction vector d1 of the given line is:

                 d1 = ( x1 , y1 , z1 )

                 x1 = 1

                 y1 = 1

                 z1 = 1

                 d1 = ( 1 , 1 , 1 )

- The dot product of two orthogonal vectors is always equal to zero:

                 d1.d2 = 0

                 (  4 - t , 3 - t , -1 - t ) . ( 1 , 1 , 1 ) = 0

- Solve for parameter (t):

                 (4 - t) + (3 - t) + (-1 - t) = 0

                  6 -3t = 0

                  t = 2  

- The coordinates of the point of intersections can be evaluated by substituting the value of "t" into the given equation of line:

                 xo ( t = 2) = - 1 + 2 = 1

                 yo ( t = 2) = - 2 + 2 = 0

                 zo ( t = 2) = - 1 + 2 = 1

- The coordinates are:

                 ( xo , yo , zo ) = ( 1 , 0 , 1 )

8 0
2 years ago
How do you solve tangets?
Ivahew [28]
By a straight line or plane that touches a curve or curved surface at a point, but if extended does not cross it at that point.
4 0
3 years ago
Attachment Mathswatch!!
Ostrovityanka [42]

Answer:

B) 6.5

Step-by-step explanation:

Y. -7—— -1, 2—— 8

When x=2.5

6.5

4 0
3 years ago
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three times a number is subtracted from another number and the difference is 3. The sum of the two numbers is 31. What is the sm
Aleksandr-060686 [28]

ANSWER

The smaller number is 7.

EXPLANATION

Let the numbers be x and y.

Then we have;

y-3x=3... eqn (1)

If the sum of the numbers is 3 then,

y+x=31... eqn (2)

Eqn(2) - Eqn (1)

x--3x=31-3

4x = 28

Divide both sides by 4,

x = 7

We put x=7 into the second equation,

y+7=31

y=31-7

y=24

The smaller of the two numbers is 7.

6 0
3 years ago
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What is the equation for an arithmetic equation sequence with a first term of 5 and a second term of 2?
Margaret [11]

Answer:

THE THIRD ONE

Step-by-step explanation:

the equation: An=A1+d(n-1)


plug in the numbers

3 0
2 years ago
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