Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
For two lines to be perpendicular, the slope of one line is the negative reciprocal of the other line. The equation of the given line is
y = 2x - 2
Comparing with the slope intercept form,
Slope, m = 2
This means that the slope of the line that is perpendicular to it is -1/2
The given points are (-3, 5)
To determine c,
We will substitute m = -1/2, y = 5 and x = - 3 into the equation, y = mx + c
It becomes
5 = -1/2 × - 3 + c
5 = - 3/2 + c
c = 5 + 3/2
c = 13/2
The equation becomes
y = -x/2 + 13/2
Answer:
2 hours
Step-by-step explanation:
The question is asking us to get the meeting point of the two and at what time would they arrive here given their individual speeds. Now what needs to be done here is first add their average speeds.
The total average speed = 325 + 25 = 350km/h
Now the distance the helicopter would have traveled would be ; 325/350 * 700 = 650km
The remaining distance left for the boat would be 700 - 650 = 50km
Now the time taken for this would be 650/325 or 50/25 = 2hours
The graph of the equation is:
The x intercept of 300 means the skydiver lands on the ground after 300 seconds. The slope of -10 means that the skydiver falls to the ground at a rate of 10 feets per second.
The correct answer is 82% of 50 (41) / 170% of 30 (51) /65% of 80 (52)
Explanation:
The first step to know whether a value is greater than another is to find the value each percentage represents depending on the total. This process is shown below.
1. 65% of 80- This implies 80 is 100% and 85% needs to be found. Use the following formula:
80 / 100 = 0.8 x 65 = 52 or the total number divided by 100 and multiplied by the percentage you want to know
2. 82% of 50 - Repeat the same process
50 / 100 = 0.5 x 82 = 41
3. 170% of 30
30 / 100 = 0.3 x 170 = 51
4. Finally organize the values
82% of 50 (41)
170% of 30 (51)
65% of 80 (52)
Answer:
9/25x^2 -25
Step-by-step explanation:
