Answer:
y= -3/5x - 1/5
Step-by-step explanation:
The slope formula:
y=mx+b
m = slope, which is -3/5 in your case
b= your y-intercept, which is -1/5 in your case
Simply plug it in and you get your answer.
lines with undefined slope are vertical
equation are in form of x constant
through the points ( 3 , -4)
the line is x=3
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.
Step-by-step explanation:
in ∆ABC and ∆ADC
AB = AD (given)
AC = AC (common)
angle ACB = angle ACD = 90° (Given)
therefore,
∆ABC = ∆ADC
therefore, option C is correct
hope this helps you!
