So hmmm if you notice y = x² - b is really just the parent function x² with a downward shift of "b". And y = - x² + b is really just x² upside-down shifted upwards by "b". so, both parabolas, look like the picture below, and their vertices is at the origin and then they get shifted, one upwards and the other downwards.
So the rhombus lies in their vertices and intersection points.
now, the area of the rhombus is 54, we're taking the green triangle in the picture, which is half of the rhombus, so its area is 27 then, it has a base of "2b", and an altitude of whatever the value of "x" at the intersection happens to be.
so hmmm let's check what's "x" anyway.
Answer:
-1/5
Step-by-step explanation:
Perpendicular lines have slopes that are the opposite reciprocal of one another.
The slope of line t is the opposite reciprocal of the slope of line s:
slope of t = -1/(slope of s)
slope of t = -1/5
6 kilometers is bigger than 600 centimeters
The equation would be: 16(4)+.15m=79
The answer would be 100 miles.
Answer:
n=-10/3
Step-by-step explanation:
"Twice the difference of a number n and seven is equal to four less than the product of five and the number n" translates into 2(n-7) = 5n - 4. To solve, isolate the variable n.
2(n-7) = 5n - 4
2n - 14 = 5n - 4
2n - 10 = 5n
-10 = 3n
-10/3 = n