3 years ago

What center (3, 6) passes through the point (0, -2)

Mathematics

1 answer:

Nataliya [291]3 years ago

7 0

Answer:

(a.) It passes through the point (3,-6) and is parallel to the line 3x + y - 10 = 0.

(b). It has x-intercept 6 and y-intercept 4.

Step-by-step explanation:

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$a-\text{number of the tickets for an adult}\\s-\text{number of the tickets for a student}\\\\(1)\qquad a+s=300\\(2)\qquad4.5a+3s=1087.5\\------------\\(1)\\a+s=300\qquad\text{subtstitute}\ s\ \text{from both sides}\\a=300-s\\\\\text{Put it to (2):}\\\\4.5(300-s)+3s=1087.5\qquad\text{use distributive property}\\\\(4.5)(300)+(4.5)(-s)+3s=1087.5\\\\1350-4.5s+3s=1087.5\qquad\text{subtract 1350 from both sides}\\\\-1.5s=-262.5\qquad\text{divide both sides by (-1.5)}\\\\\boxed{s=175}$

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