The equation of the line g that passes through points (-3, 2) and (0, 5), in slope-intercept form, is: y = x + 5.
<h3>How to Write the Equation of a Line in Slope-intercept Form?</h3>
Given the coordinates of two points that lie on a straight line on a graph, the equation that represents the line in slope-intercept form can be expressed as, y = mx + b, where:
Slope = m = change in y / change in x
y-intercept = b (the value of y when x = 0).
The coordinates of the two points on line g is given as:
(-3, 2) = (x1, y1)
(0, 5) = (x2, y2).
Find the slope (m) of the line:
Slope (m) = (5 - 2)/(0 - (-3))
Slope (m) = 3/3
Slope (m) = 1.
Y-intercept (b) = 5
Substitute m = 1 and = 5 into y = mx + b:
y = x + 5
The equation of the line in slope-intercept form is: y = x + 5.
Learn more about the slope-intercept equation on:
brainly.com/question/1884491
#SPJ1
Answer:
Lucy needs to invest $55,194.16
Step-by-step explanation:
Answer:
a) 3 inch pulley: 11,309.7 radians/min
6) 6 inch pulley: 5654.7 radians/min
b) 900 RPM (revolutions per minute)
Step-by-step explanation:
Hi!
When a pulley wirh radius R rotantes an angle θ, the arc length travelled by a point on its rim is Rθ. Then the tangential speed V is related to angular speed ω as:
When you connect two pulleys with a belt, if the belt doesn't slip, each point of the belt has the same speed as each point in the rim of both pulleys: Then, both pulleys have the same tangential speed:
We need to convert RPM to radias per minute. One revolution is 2π radians, then:
The saw rotates with the same angular speed as the 6 inch pulley: 900RPM
Answer:
The answer is (A.)
Step-by-step explanation:
4 x 9 = 36
6 x 9 = 54
8 x 9 = 72
Given that Rolex buys computer disks at a price of 4 for $5 .
That means cost price of 1 disk = 5/4
Given that Rolex sells them at a price of 3 for $5.
That means selling price of 1 disk = 5/3
Profit on 1 disk = selling price - cost price
Profit on 1 disk
Profit on 1 disk
Profit on 1 disk
Profit on 1 disk
Now we have to find how many disk to be sold to get the profit $100
so we just divide $100 by profit on 1 disk
Hence final answer is 240 disks.