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Diketahui persamaan garis lurus 9:2x+py−20=09: 2x + py - 20 = 0. Jika garis lurus gg melalui titik (5,−2)(5, -2), p−3p - 3 adalah

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Factor sums and differences of cubesright chevron icon

Full solution

Q. Diketahui persamaan garis lurus 9:2x+py−20=09: 2x + py - 20 = 0. Jika garis lurus gg melalui titik (5,−2)(5, -2), p−3p - 3 adalah
  1. Plug Point into Equation: First, let's plug the point (5,−2)(5, -2) into the equation to find pp.2(5)+p(−2)−20=02(5) + p(-2) - 20 = 0
  2. Calculate Value of p: Now, let's do the math.\newline10−2p−20=010 - 2p - 20 = 0
  3. Simplify Equation: Next, simplify the equation.\newline−2p−10=0-2p - 10 = 0
  4. Add 1010 to Both Sides: Then, add 1010 to both sides.\newline−2p=10-2p = 10
  5. Divide by −2-2 to Find pp: Now, divide both sides by −2-2 to find pp.p=10−2p = \frac{10}{-2}
  6. Find p−3p - 3: So, pp equals −5-5.\newlinep=−5p = -5
  7. Subtract to Find Result: Finally, we need to find p−3p - 3.\newlinep−3=−5−3p - 3 = -5 - 3
  8. Subtract to Find Result: Finally, we need to find p−3p - 3. \newlinep−3=−5−3p - 3 = -5 - 3 Do the subtraction. \newlinep−3=−8p - 3 = -8

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