Question

(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 1

Answer:

1. a= 2 and 5 and a= 5/3 and -3

2. 6 and 3

3. 92/102(squares)

4. a. 27

b. 625

5. 616 cm2

Step-by-step explanation:

1. follow the tree method to get the values

5. pie r2

pie value 22/7

other questions are simple math calculations

Answer 2

Step-by-step explanation:

1). a² - 7a + 10 + (3a² + 4a - 15)

= a² - 7a + 10 + 3a² + 4a - 15

= a² + 3a² - 7a + 4a + 10 - 15

= 4a² - 3a - 5

2). x² + 2

When x = 2

= (2)² + 2

= 4 + 2

= 6

When x = -1

= (-1)² + 2

= 1 + 2

= 3

3).

(a). 81/ 100

= 3²/10²

= (3/10)²

(b). 27/125

= 3³/ 5³

= (3/5)³

4).

(a). (-3)³

= -27

(b). (-5)⁴

= 625

5). We know that area of the circle is πr²

Radius = 14. (given)

Area = πr²

= 22/7 × (14)²

= 22/7 × 196

= 616

Area of the circle is 616