A wedding planner uses 72 ivy stems for 18 centerpieces. When she arrives at the venue, she realizes she will only need 16 cente
1 answer:
You might be interested in
Answer:
The equation of a line that passes through the point (-1,5) and has a slope of -7 will be:
- y = -7x-2
Step-by-step explanation:
The slope-intercept form of the line equation
where
- m is the slope
- b is the y-intercept
Given
- The point (-1, 5)
- Slope m = -7
substituting m = -7 and the point (-1, 5) in the slope-intercept form of the line equation
5 = -7(-1) + b
5 = 7+b
b = 5-7
b = -2
Thus, the y-intercept is: b = -2
now substituting b = -2 and m = -7 in the slope-intercept form of the line equation
y = mx+b
y = -7x+(-2)
y = -7x-2
Therefore, the equation of a line that passes through the point (-1,5) and has a slope of -7 will be:
- y = -7x-2
Answer:
420 meters
Step-by-step explanation:
Q. Benjamin is riding a unicycle. The tire of his unicycle has a circumference of 2.8 m, and the tire revolves 1.5 times per second. What is the distance Benjamin travels in 100 seconds?
<u>Given</u>:
Circumference of circular tire = 2.8 meters
Tire revolves per second = 1.5 times
<u>Question asked:</u>
What is the distance Benjamin travels in 100 seconds?
<u>Solution:</u>
Circumference of circular tire means distance covered by the unicycle's tire when it revolves 1 time that is 2.8 meters.
<em><u>Now, by unitary method:</u></em>
In 1 second, tire revolves = 1.5 times
In 100 seconds, tire revolves = 1.5 100
= 150 times
Distance covered by the tire when it revolves 1 time = 2.8 m
Distance covered by the tire when it revolves 150 times = 2.8 150
= 420 meters
Therefore, Benjamin travels 420 meters in 100 seconds.