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(1) Find the sum of a² - 7a + 10 and 3a²+ 4a - 15. (2) Find the value of x² + 2 at x = 2 & x = -1(3) Express given number using power notation(a) 81/100 (b) 27/125 (4) Evalute(a) (-3)³ (b) (-5)⁴(5) Find the Area of the circle whose radius is 14 cm. |
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Answer» ALIGN="absmiddle" alt="\sf\huge\bold{\underline{\underline{{Solution}}}}" class="latex-formula" id="TexFormula1" src="https://tex.z-dn.net/?f=%5Csf%5Chuge%5Cbold%7B%5Cunderline%7B%5Cunderline%7B%7BSolution%7D%7D%7D%7D" TITLE="\sf\huge\bold{\underline{\underline{{Solution}}}}"> (1) a²-7a+10 and 3a²+4a-15 ➙a²-7a+10 +3a²+4a-15 Arranging the terms and making like terms ➙a²+3a²-7a+4a+10-15 ➙4a²-7a+4a+10-15 ➙4a²-3a+10-15 ➙4a²-3a-5 _______________________________________ (2) x²+2 At x =2 ➙(2)²+2 ➙4+2=6 At x= -1 ➙(-1)²+2 ➙1+2=3 _______________________________________ (3) a) 81/100= 3⁴/10²= (3²/10)² b) 27/125= 3³/5³= (3/5)³ ______________________________________ 4) a) (-3)³ since ,power is odd so, resultant would be negative ➙ -3×-3×-3= 9×-3= -27 b)(-5)⁴ since ,power is even so, resultant would be POSITIVE (-5)⁴= -5×-5×-5×-5= 25× -5×-5= 25×25= 625 or (25)² _______________________________________ 5) RADIUS = 14cm Area of circle = πr² Area of circle = 22/7× (14)² Area of circle = 22/7 × 196 Area of circle = 22×28=616 Area of circle = 616cm² |
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