+413 1.1. Rationalize the denominator of 2. Simplify using BODMAS rule 7-5x2 of3÷(35-7-8) ÷6 3. Evaluate 0.7*5+5.2*4-25 4. Multiply 5.23 and 0.68, express the product obtained in three significant digits. 5. Find the square root of 0.1764 6. Factories x 2 -9x+20 7. What is unit set www.edurite.com 8. What are the types of triangle, explain 9. In triangle ABC, < A = 600, AD b) AC+CD>AD c) AB+BC+AC>2AD Section C 21. If a = 5x-10y, b = 6x+3y and c = 5x+2y, find a)a+b b) 2a-3b 22. Show that ()^a-b . ()^b-c . ()^c-a = 1 23. If 5x-4y = 7 xy = 6;find 125x 3 -64y 3 24. From the given diagram, find www.edurite.com a) AuB-C b) B-(AnC) c)(BnC) Ua d)(A-B)u(A-C
+33661 Here are a few:
Order: Brackets (Parentheses first) then Powers, then Multiplication/division (the order of multiplication and division is interchangeable), then Addition/subtraction (the order of addition and subtraction is interchangeable).
So:
3. 0.7*5+5.2*4-25 = 3.5 + 20.8 - 25 = 24.3 - 25 = -0.7
4.
$${\mathtt{5.23}}{\mathtt{\,\times\,}}{\mathtt{0.68}} = {\frac{{\mathtt{8\,891}}}{{\mathtt{2\,500}}}} = {\mathtt{3.556\: \!4}}$$
To three significant digits this is 3.56 Note that the third digit is icreased from 5 to 6 because it is followed by a number greater than 5.
6. x2 - 9x + 20
Look for two numbers that multiply to make 20 and add to make -9 (Both will have to be negative for this to happen)
-1 -20 Nope!
-2 -10 Nope!
-4 -5 This looks promising!
(x - 4)(x - 5) = x2 - 9x + 20
.
+33661 Here are a few:
Order: Brackets (Parentheses first) then Powers, then Multiplication/division (the order of multiplication and division is interchangeable), then Addition/subtraction (the order of addition and subtraction is interchangeable).
So:
3. 0.7*5+5.2*4-25 = 3.5 + 20.8 - 25 = 24.3 - 25 = -0.7
4.
$${\mathtt{5.23}}{\mathtt{\,\times\,}}{\mathtt{0.68}} = {\frac{{\mathtt{8\,891}}}{{\mathtt{2\,500}}}} = {\mathtt{3.556\: \!4}}$$
To three significant digits this is 3.56 Note that the third digit is icreased from 5 to 6 because it is followed by a number greater than 5.
6. x2 - 9x + 20
Look for two numbers that multiply to make 20 and add to make -9 (Both will have to be negative for this to happen)
-1 -20 Nope!
-2 -10 Nope!
-4 -5 This looks promising!
(x - 4)(x - 5) = x2 - 9x + 20
.
+130516 If 5x - 4y = 7 and xy = 6 find 125x^3 - 64y^3
Note (5x - 4y)^2 = 7^2 → 25x^2 - 40xy + 16y^2 = 49 → 25x^2 + 16y^2 = 49 + 40xy
So....factoring 125x^3 - 64y^3 ..... we have..
(5x - 4y) (25x^2 + 20xy + 16y^2) =
(5x -4) ([25x^2 + 16y^2] + 20xy) =
(7) ([ 49 + 40xy ]+ 20xy) =
(7)(49 + 60xy) =
(7)(49 + 60(6) ) =
(7) (49 + 360 ) =
(7)(409) =
2863
