Slope-intercept form y = mx + b
where m------> slope
b-------> y-intercept
m= (y1-y2)/(x1-x2)
P1(-3,5) (x1,y1)
P2(2,10) (x2,y2)
m= (5-10)/(-3-2)
m= (-5)/(-5)
m=1
Until now, the equation is y=mx+b
y=1.x+b
y=x+b
But, whe can plug the point P2(2,10) in y =x+b
10 =2 + b
10 - 2 = b
b= 8
Then, the equation is y=mx+b
y= x+8 <-------------------Solution
Verification P1(-3,5) y = x+8 5=-3+8 Ok
P2(2,10) y = x +8 10 = 2+8 Ok
Answer:
This is repeated until each student has ridden 10 waves. The brand of surfboard in this story is "the explanatory variable"
Step-by-step explanation:
the explanatory variable otherwise known as the the Independent variable.
in the scenario above the brand of surfboard is independent of the event because the brand doesn't matter in the experiment.
Write an equation that can be used to determine the number of hours, h, Hector works given the number of weeks, W.
Enter your equation in the space provided
Part B
Write an equation that can be used to determine Hector's earnings, in dollars, m, for h hours of work.
Enter your equation in the space provided.
Answer:
A). h = 20 w
B). m = 10.5h
Step-by-step explanation:
Part (A).
Let the total number of hours Hector worked = h
And total number of weeks worked by Hector = w
Therefore, number of hours Hector worked in a week =
Since, total number of hours worked in a week = 20
Equation will be,
20 =
h = 20w
Part (B).
Per hour earning of Hector =
m = 10.5h
The length, to 1 decimal place, of the arc that subtends an angle of 5.4 radians at the center of a circle with a radius of 7 cm is 37.8 cm.
It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
It is given that:
The arc subtends an angle of 5.4 radians at the center of a circle with a radius of 7 cm.
As we know, the relationship between radius of the circle, central angle, and arc length is:
s = rθ
r = 7 cm
θ = 5.4 radians.
When two lines or rays converge at the same point, the measurement between them is called an "Angle."
s = 7×5.4
s = 37.8 cm
Thus, the length, to 1 decimal place, of the arc that subtends an angle of 5.4 radians at the center of a circle with a radius of 7 cm is 37.8 cm.
Learn more about circle here:
#SPJ4
Answer:
37.8
Step-by-step explanation:
Length = radius * Θ
L=7*5.4
L=37.8
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