Answer:
y = x - 4
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 )
y = - 2x - 3 ← is in slope- intercept form
with slope m = - 2
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 (2, - 3) into the partial equation
- 3 = 1 + c ⇒ c = - 3 - 1 = - 4
y = x - 4 ← equation of perpendicular line
3 * 1/3 = 1.
the multiplicative inverse of 3 is 1/3.
Answer:
25
Step-by-step explanation:
Step one:
given data
We are told that Shaneya purchased a membership to play basketball at her local gym.
Costs = $75 for the year,
Rent = $3 for equipment each time she goes
Given that she has $150 to spend,
Step two:
Firstly, let us model the situation
let the total amount she has to spend be y
and the number of time she goes to the gym be x
y= 75+3x
for y= 150, let us find the value of x
150= 75+3x
150-75= 3x
75= 3x
divide both sides by 3
x= 75/3
x=25 times
The maximum amount of times is 25
cos(-240°) = cos 120°; the "adjacent sides" and the "hypotenuses" are the same in both cases. The supplement of 120° is 60°, and 60° is a positive acute angle. Since cos(-240°) is negative, we need to write
cos(-240°) = -cos(60°).
Check: cos(60°)= 1/2, so - cos(60°) = -1/2, which is the value of cos(-240°).
to get the the equation of any straight line, we only need two points off of it, let's use the two points already in the picture.