Answer:
Any radical in the form can be written using a fractional exponent in the form . The relationship between and works for rational exponents that have a numerator of 1 as well. For example, the radical can also be written as , since any number remains the same value if it is raised to the first power.
Step-by-step explanation:
Minus 1 both sides
x²-8x=-1
take 1/2 of the linear coefient and square it
-8 is the linear coefient
-8/2=-4, (-4)²=16
add 16 to both sides
x²-8x+16=16-1
factor perfect squaer trinomial
(x-4)²=15
square root both sides, remember to take positive and negative roots
x-4=+/-√15
not exactly sure what to put in the blnaks
but
the solutions are x=4+√15 and x=4-√15
Answer:
- 0.25|h -1600| -400
- 1000
- 2200
Step-by-step explanation:
Once again, you can choose the correct equation by finding the one that gives d=0 for h=0. (Note that the problem statement requires the independent variable to be h, not x.)
Then you can use that equation to find h for d=-250:
-250 = 0.25|h -1600| -400
150 = 0.25|h -1600|
600 = |h -1600|
This resolves to two equations:
- -600 = h -1600 . . . ⇒ . . . h = 1000
- 600 = h -1600 . . . ⇒ . . . h = 2200
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Or, you can realize the distance from the west end is 4 times the depth. At a depth of 250 ft, that distance is h=1000 ft. That is 600 ft from the center, so 1200 ft from the same depth on the other side of the crater, which is at h=2200 ft.
Answer:
- 39/8y
Step-by-step explanation:
First you need to find a common denominator:
There is already a y in both denominators, so you don't have to worry about that. Since only one denominator has an 8, the other needs to have an 8, so you need to multiply the first fraction by 8 → - 4/y * 8 = - 32/8y
From here you can subtract the numerators:
- 32/8y +(- 7/8y) = - 39/8y
Because you are adding a negative to a negative, it makes the number mroe negative
I hope this helps!
