9514 1404 393
Answer:
a. (-1/2, 5)
Step-by-step explanation:
The coefficients of x have opposite signs, so the x-terms can be eliminated by adding the two equations.
(2y -12x) +(3y +12x) = (16) +(9)
5y = 25 . . . . . . simplify
y = 5 . . . . . . . . .divide by 5
This matches only answer choice A.
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<em>Check</em>
The other part of answer choice A is x = -1/2. We can test this to make sure it works:
2(5) -12(-1/2) = 16
10 + 6 = 16 . . . . . . true, the selected answer works OK
Answer: 345.4
Step-by-step explanation:
SA=2πr^2+2πrh
SA=2(3.14)(5)^2+2(3.14)(5)(6)
SA=2(3.14)(25)+2(3.14)(30)
SA=2(78.5)+2(94.2)
SA=157+188.4
SA=345.4
There are two triangles that exist in this problem. First is the given triangle ABC, witch AB = BC = 6 and AC = 8
Next is the smaller triangle formed by connecting points D and E; triangle EAD, with EA = AD = 3 and the length of DE is unknown.
Because these triangles are similar, a simple ratio may be set up in order to calculate DE.
DE / AC = EA / AB
DE = 3/6 * 8
DE = 4 units
<u>Given </u><u>:</u><u>-</u><u> </u>
No. of computer CDs :- 100
No. of computer :- 5
<u>To </u><u>find</u><u> </u><u>:</u><u>-</u><u> </u>
Unit rate of CDs per computer
<u>Solution</u><u>:</u><u>-</u>
100/5
= <u>20 CDs per computer </u>