90 = 2 x 3³ x 5
51 = 3 x 17
26 = 2 x13
GCF = 1 // There is no other common factor that is common for all the 3.
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Answer: Greatest Common Factor is 1
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<span>One is divided by the product of 8 and a number.</span>
Answer:
The roots are +/- 5 and +/- 4i or 5, -5, 4i, -4i
Step-by-step explanation:
Begin by dividing through by - 3
-3x^4 / - 3 + 27x^2/-3 + 1200/-3 = 0
x^4 - 9x^2 - 400 = 0 This makes it easier to work with. Substitute
z = x^2
z^2 - 9z - 400 = 0 Factor
(z - 25)(z + 16) = 0 Put the x^2 back in
(x^2 - 25)(x^2 + 16)
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Factor x^2 - 25 using the difference of squares.
(x^2 - 25) = (x + 5)(x - 5)
x = +5 and x = - 5
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Factor x^2 + 16
x^2 + 16 = 0
x^2 = - 16 Take the square root of x^2 and -16
x = sqrt(-16)
x = +4i, x = - 4i
Answer
The roots are +/- 5 and +/- 4i
Answer:
9%
Step-by-step explanation:
Probability of the first person being selected is 4/12 and the probability of the second person being selected is 3/11
The probability of both is:
4/12 x 3/11
= 1/11 which is 9%
Answer:
The measure of the angles are 112 degrees and 68 degrees.
Step-by-step explanation:
Two angles are supplementary if they add up to 180 degrees.
The first angle is 8x degrees.
The second angle is (4x+12) degrees.
Therefore:
8x+4x+12=180 degrees
12x+12=180
12x=180-12
12x=168
Divide both sides by 12
x=14 degrees
Substituting x in the given angles:
8x =8*14=112 degrees
4x+12=4(14)+12=68 degrees
Therefore, the measure of the angles are <u>112 degrees and 68 degrees.</u>