This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Ili kubaini kama jozi za mistari ni wima (perpendicular), tunahitaji kulinganisha miteremko yao. Mistari miwili ni wima ikiwa bidhaa ya miteremko yao ni -1. a) Mstari unaopita kwenye pointi (3, 3) na (5, -1); na mstari unaopita kwenye pointi (2, 0) na (4, 1) Step 1: Pata mteremko wa mstari wa kwanza. Mstari wa kwanza unapita kwenye pointi (3, 3) na (5, -1). m_1 = (-1 - 3)/(5 - 3) = (-4)/(2) = -2 Mteremko wa mstari wa kwanza ni m_1 = -2. Step 2: Pata mteremko wa mstari wa pili. Mstari wa pili unapita kwenye pointi (2, 0) na (4, 1). m_2 = (1 - 0)/(4 - 2) = (1)/(2) Mteremko wa mstari wa pili ni m_2 = (1)/(2). Step 3: Zidisha miteremko. m_1 · m_2 = (-2) · ((1)/(2)) = -1 Step 4: Hitimisho. Kwa kuwa bidhaa ya miteremko ni -1, mistari hii ni wima. Mistari ni wima Kumbuka: Sehemu za c) na e) hazionekani kwenye picha uliyotuma. Tuma swali linalofuata 📸