Step-by-step explanation:
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Answer:
y = -3x - 16
Step-by-step explanation:
Point-slope form: y - y1 = m(x - x1)
Given: y - 2 = -3(x + 6)
Slope-intercept form: y = mx + b
To write the equation in slope-intercept form, we need to know the slope(m) and the y-intercept(b). By looking at the given equation, we can see that the slope is -3. We are also given the value of one point: (-6, 2).
To find the y-intercept, input the given values of the slope and the point into the equation format and solve for b:
y = mx + b
2 = -3(-6) + b
2 = 18 + b
Subtract 18 from both sides of the equation to isolate b:
2 - 18 = 18 - 18 + b
-16 = b
The y-intercept is -16.
Now that we know the slope and the y-intercept, we can write the equation:
y = -3x - 16
5(5r-7)=-185
25r - 35 = - 185
25r = - 150
r = - 6
To answer this item, we just have to substitute the given to the equation, where s is equal to 4 and v is equal to 80 ft/s.
4 = (80)t - 0.5(32 ft/s²)(t²)
The value of t from the equation generated above is equal to 4.94 s. Thus, the answer is approximately 5, letter D.
