Answer:
The y intercept of the line is (0, -14).
Step-by-step explanation:
we are given the equation
y + 11 = -2(x + 1.5)
The y-intercept of the line is the point where x = 0,
Substituting x = 0 into the expression:
y + 11 = -2(0 + 1.5)
y + 11 = -0 – 3
y + 11 = -3
y = 11 – 11 = -3 – 11
y = -14
Thus, The y intercept of the line is (0, -14).
<u>-TheUnknownScientist</u><u> 72</u>
Step-by-step explanation:
i know the coordinates are ( 0,-3 1/2 ) or ( 0, -3.5 ) for D
9514 1404 393
Answer:
(-4√494)/13i +(6√494)/13k ≈ -6.8388i +0j +10.2585k
Step-by-step explanation:
To answer this question, you need to know two things:
1) the direction of vector v
2) the magnitude of vector u
__
<u>direction of v</u>
A direction is specified by a "unit vector", one with the proper ratio of components, and a magnitude of 1. It is found from a given vector by dividing that vector by its magnitude.
The unit vector in the v direction is ...
v/|v| = (-2i +3k)/(√((-2)² +3²) = (-2i +3k)/√13
__
<u>magnitude of u</u>
The magnitude of vector u is ...
|u| = √(5² +(-2)² +3²) = √38
__
Then the desired vector is ...
(2|u|)(v/|v|) = 2√38(-2i+3k)/√13 = (-4√494)/13i +(6√494)/13k
_____
<em>Additional comment</em>
We have chosen to "rationalize the denominator" by writing √(38/13) as (√494)/13.
Answer:
b
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 both equations into this form
x - 6y = - 30 (subtract x from both sides )
- 6y = - x - 30 ( divide all terms by - 6 )
y = 
x + 5 ← in slope- intercept form
with slope m =
y = - 6x + 5 ← in slope- intercept form
with slope m = - 6
Parallel lines have equal slopes.
Clearly the lines are not parallel.
The product of the slope of perpendicular lines equals - 1, thus
× - 6 = - 1
Hence the lines are perpendicular → b
I do not under stand need more info
