Answer:
question 1: m = 3/2
question 2: m = 1/95
Step-by-step explanation:
Slope intercept form of equation is of form
y = mx+c
where m is the slope of line and c is the y intercept of the line.
Y intercept is point on y axis where the line intersects the y axis.
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given
y = 3/2 x
comparing it with y = mx+c
we have m = 3/2 .
since y = 3/2 x does not have constant term so it can be taken as 0. hence c is 0
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slope for any two point (x1,y1) and (x2,y2) on coordinate plane is given by
slope = (x2-x1)/y2-y1)
From the given table lets take two point as (2,190) and(4,380)
Thus, slope m is given by
m = (4-2)/(380-190) = 2/190 = 1/95
m = 1/95
Though, slope can be taken by dividing y by x (y/x). It is good practice to use two point form formula as given above . Provided two points are given
Please mark it the brainliest.
5 minutes
32/160 = 0.2 mile/min
0.2x = 1
0.2x/0.2 = 1/0.5
x = 5
5 minutes
Answer:
B.
The solution of |2x + 8| > 6 includes all values that are less than –7 or greater than –1.
The solution of |2x + 8| < 6 includes all values that are greater than –7 and less than –1.
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Step-by-step explanation:
You can find the solution by "unfolding" the absolute value, then dividing by 2 and subtracting 4:
-6 > 2x +8 > 6 . . . . . read this as -6 is less than 2x+8 or 2x+8 is greater than 6
-3 > x +4 > 3 . . . . . . .divide by 2
-7 > x > -1 . . . . . . . . . solution to the first inequality: x is less than -7 or greater than -1.
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The solution to the other inequality is identical, except the direction of the comparison is reversed. It is read differently, because the segments overlap, rather than being disjoint.
-7 < x < -1 . . . . . . . . solution to the second inequality: x is greater than -7 and less than -1.
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These descriptions match choice B.
Answer`Step-by-step explanation:
The length of an arc depends on the radius of a circle and the central angle Θ. We know that for the angle equal to 360 degrees (2π), the arc length is equal to circumference. Hence, as the proportion between angle and arc length is constant, we can say that:
Hope that help, at least a bit.
