Answer:
Step-by-step explanation:
Thw probability is .
Write an equation of the straight line which is perpendicular
1 answer:
Answer:
3x + 2y = 14
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 2x - 3y = 5 into this form by subtracting 2x from both sides
- 3y = - 2x + 5 ( divide all terms by - 3 )
y = x -
← in slope- intercept form
with slope m =
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= -
, thus
y = - x + c ← is the partial equation
To find c substitute (4, 1) into the partial equation
1 = - 6 + c ⇒ c = 1 + 6 = 7
y = - x + 7 ← in slope- intercept form
Multiply through by 2
2y = - 3x + 14 ( add 3x to both sides )
3x + 2y = 14 ← in standard form
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Answer:
(4, -2) (see attached)
Step-by-step explanation:
Vector addition on a graph is accomplished by placing the tail of one vector on the nose of the one it is being added to. The negative of a vector is in the direction opposite to the original.
__
<h3>vector components</h3>The components of the vectors are ...
u = (1, -2)
v = (-6, -6)
Then the components of the vector sum are ...
2u -1/3v = 2(1, -2) -1/3(-6, -6) = (2 +6/3, -4 +6/3)
2u -1/3v = (4, -2)
<h3>graphically</h3>The sum is shown graphically in the attachment. Vector u is added to itself by putting a copy at the end of the original. Then the nose of the second vector is at 2u.
One-third of vector v is subtracted by adding a vector to 2u that is 1/3 the length of v, and in the opposite direction. The nose of this added vector is the resultant: 2u-1/3v.
The resultant is in red in the attachment.
