Answer:
<em>Her rate of change is 75 ft/h</em>
Step-by-step explanation:
<u>Rate of Change</u>
It measures how one quantity varies with respect to another. The second variable usually is the time.
The climber is hiking. We are given two points of her progress: At 2 hours, she is at 400 ft. This corresponds to the point (2,400).
At 6 hours, she is at 700 ft. This is the point (6,700)
The rate of change is the slope between these two points or the quotient of the variations of each variable:
Her rate of change is 75 ft/h
Answer:
22.8 m/s at 17.4°
Step-by-step explanation:
You want to find the resultant of ...
3 cis 0° +20 cis 20° = (3, 0) +(18.794, 6.840) = (21.794, 6.840)
The magnitude is the root of the sum of the squares of the velocities in the horizontal and vertical directions:
s = √(21.794² +6.840²) ≈ 22.8
The direction is found from the fact that the tangent of the angle is the ratio of vertical to horizontal coordinates:
angle = arctan(6.840/21.794) ≈ 17.4°
The resultant velocity is 22.8∠17.4° meters per second.
<span>Slope-intercept form is Y = MX + B. This is in standard form, AX + BY = C. You have to move the X to the other side of the equation and simplify it. </span>
<span>10x - 2y = 10 </span>
<span>- 10x - 10x Subtract 10x from both sides </span>
<span>- 2y = - 10x + 10 Now everything is in the right place, but it still needs to be simplified. </span>
<span>Divide each term by -2, in order to isolate the variable Y. </span>
<span>- 2y/ - 2 = - 10x/ - 2 + 10/ - 2 </span>
<span>The answer is: y = 5x - 5</span>
