<h3>
Answer: y</h3>
This is because y is a factor of 5y and it's also a factor of y^2 = y*y
It's the largest common factor between the two given expressions.
Answer:
24 inches
Step-by-step explanation:
After folding the piece of paper, the result will be 1/4 the size of the original square. If you multiply the are of the triangle by 4, you will find that the area of the original square is 36 square inches. The square root of 36 is 6, which shows us that the length of each side of the square is 6. To get the perimeter, multiply 6 by 4 to get 24 inches.
Answer:
Nearly 48.78% of the men gave a response that falls in the interval 155 to 195 pounds
Step-by-step explanation:
Given that a very large number of college men were asked what they thought their ideal weight was.
A five number summary of the response (in pounds) follows:
Median 175
Quartiles 155 196
Extremes 123 225
This implies that 25th percentile is 155 and 75th percentile is 196
This can be interpreted as approximately 50% of men lie between 155 and 196 pounds.
Since 195 is very near to 195, we can say approximately
i.e. 41 difference = 50%
40 difference = 
Nearly 48.78% of the men gave a response that falls in the interval 155 to 195 pounds
Answer:
x2=−8(y−2)
Step-by-step explanation:
Parabola is a locus of a point which moves at the same distance from a fixed point called the focus and a given line called the directrix.
Let P(x,y) be the moving point on the parabola with
focus at S(h,k)= S(0,0)
& directrix at y= 4
Now,
|PS| = √(x-h)2 + (y-k)2
|PS| = √(x-0)2 + (y-0)2
|PS| = √ x2 + y2
Let ‘d’ be the distance of the moving point P(x,y) to directrix y- 4=0
- d= |ax +by + c|/ √a2 + b2
- d= |y-4|/ √0 + 1
- d= |y-4| units.
equation of parabola is:
- |PS| = d
- √ x2 + y2 = |y-4|
Squaring on both sides, we get:
- x2 + y2 = (y-4)2
- x2 + y2 = y2 -8y + 16
- x2 = - 8y + 16
- x2 = -8 ( y - 2)
This is the required equation of the parabola with focus at (0,0) and directrix at y= 4.
The speed at which they are separating = 6.6 + 7.6 = 14.2 mph
time = distance / speed
time = 41.18 / 14.2 = 2.9 miles answer
