D. y=5x+6 and 2y-12-10x=0 has infinitely many solutions and both lines are linear
E. y=4x+1, y=9x+4 has the solutions x = -3/5, y = -7/5
Answer:
D
Step-by-step explanation:
the answer can't be A or C because we know that 8 3/4 rounds to 9
so we have to figure out if 12 11/16 is closer to 12 or 13
anything above 8/16 should round up; therefore, 11/16 should round the 12 to be 13
<span>1. What number must multiply each side of the equation 2/5 x=10 to produce the equivalent equation x = 25? 4 5 5/2 1/5 2. Solve. -1/3 x=12 4 –36 –1/4 –4 3.Solve. 3|s| = 18 s = –6 or s = 6 s = 6 only s = –18 or s = 18 s = –6 only 4.Solve. x + 4 – 7x =...</span> show more Best Answer:<span> </span><span>C
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Answer:
See below.
Step-by-step explanation:
Fifth root of 243 = 3,
Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),
then r^5( cos Ф + i sin Ф )^5 = 243(cos 240 + i sin 240).
Equating equal parts and using de Moivre's theorem:
r^5 =243 and cos 5Ф + i sin 5Ф = cos 240 + i sin 240
r = 3 and 5Ф = 240 +360p so Ф = 48 + 72p
So Ф = 48, 120, 192, 264, 336 for 48 ≤ Ф < 360
So there are 5 distinct solutions given by:
3(cos 48 + i sin 48),
3(cos 120 + i sin 120),
3(cos 192 + i sin 192),
3(cos 264 + i sin 264),
3(cos 336 + i sin 336).. (Answer).
Solving proportions<span> is simply a matter of stating the ratios as fractions, setting the two fractions equal to each other, cross-multiplying, and solving the resulting equation. You'll probably start out by just solving</span>