Identify the distance between points (3,8,0) and (−2,9,−4), and identify the midpoint of the segment for which these are the endpoints. Round to the nearest tenth, if necessary.
d ≈ 3.5 units; M (−0.5, 8.5, 2)
d ≈ 3.5 units; M (0.5, 8.5, −2)
d ≈ 6.5 units; M (0.5, 8.5, −2)
d ≈ 6.5 units; M (−0.5, 8.5, 2)

answer: c i think

step-by-step explanation:

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step-by-step explanation:

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!