7. Write an equation of the line that passes through the points (1, 4) and (-2, 10), in point-slope form.
1 answer:
Answer:
y = -2x + 6
Step-by-step explanation:
This has sort of the same concept as your earlier question
Use the equation y = mx + b
To find the slope, take the second y value and subtract the first y value. Then take the second x value and subtract the first x value. Divide the answers. You'd get -2 in this case. -2 would be your slope (m).
The substitute any set of x and y values (either (1, 4) or (-2, 10)) and the slope into y = mx + b. You'd get 6 as your y-intercept (b).
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Answer:
x = 0
Step-by-step explanation:
Substituting the given "point" into the equation gives the possibilities for x.
<h3>Substitution</h3>Using (x, y) = (x, 8), the inequality becomes ...
3x -4 < 8
Solving for x gives ...
3x < 12 . . . . . . . add 4
x < 4 . . . . . . . divide by 3
Any value of x less than 4 will make (x, 8) a solution to the inequality. For example, ...
x = 0 . . . . . . (0, 8) is a solution to the inequality
Answer:
3,454 cm³
Step-by-step explanation:
This is a cylinder so the volume formula is
The problem gives us the diameter (20 cm) and the height (11 cm). Since the formula uses the radius instead of the diameter, we have to divide the diameter by 2.
20 ÷ 2 = 10
The radius is 10 cm
Now, we plug our height and radius into the formula to find the volume.
V≈3,454