Answer:
I assume you want the equation for the line in y=mx+b form, if not, you can just transfer this form to standard or intercept. y=(-3/4)x+2.5
Step-by-step explanation:
Since you have the slope and a point, plug in the points to the equation y=9-3/4)x+b to get 4=(-3/4)(-2)+b and solve.
Answer:
1 The first digit of the quotient is 3
2. 34 prizes per booth
3. 19 prizes left over
Step-by-step explanation:
We need to divide 985 by 29
29 goes into 98 3 times
29*3 = 87 with 13 left over
135 divided by 29
29*4 =116 135-116 =19
985÷29 = 34 with 19 left over
The wheel has diameter 60 cm = 0.60 m, and thus circumference π(0.60 m) ≈ 5.923 m.
In one complete revolution, a point on the edge of the wheel covers this distance, so that the wheel has an angular speed of
(13.2 m/s) * (1/5.923 rev/m) ≈ 2.229 rev/s
There are 60 seconds to each minute, and 60 minutes to each hour, so converting to rev/h gives
(2.229 rev/s) * (60 s/min) * (60 min/h) ≈ 8024 rev/h
The answer is 5/2. The equation is already in point slope form. If you recall, the equation for point slope form is y-y1 = m(x-x1) where y1 and x1 are points on the graph, and m is the slope. In the given equation, m is 5/2 so we know it is the slope.
Alternatively, if you are not familiar with the point slope for equation, you can manipulate the equation to the form of y=mx+b where m is the slope and b is the constant. If you solve for y, you get y=5/2x-1 since 5/2 is in the place of m, we know 5/2 is the slope.