Answer:
Option B
Step-by-step explanation:
Given: x² + 10x + 13
To make a complete square, we will use (b/2)² to add terms to complete the square where b is the coefficient of x
b = 10 , (b/2)² = 5² = 25
So, add 25 and subtract 25
x² + 10x + 13
= x² + 10x + 13 + 25 - 25
= (x² + 10x + 25) + 13 -25
= (x+5)² - 12
By comparing the options with the previous steps
So, the answer is <u>option B</u>
Answer: (1) x²y (2) 7pqr (3) a (4) 6a² (5) y³z²
Step-by-step explanation:
(1) x^4y³ and x²y
x^4y³ = x²y(x²y²)
x²y = x²y
Therefore the Highest Common factor
x²y which is the common factor.
(2) 14p²qr^4 = 2 x 7 x p² x q x r^4
49p²q²r = 7 x 7 x p² x q² x r
35pqr = 5 x 7 x p x q x r
Therefore HCF = 7 x p x q x r
= 7pqr
(3) -a^5 = -( a x a x a x a x a )
= -(a^5)
ab³ = a x b x b x b
Therefore HCF = a
(4) 6a² = 2 x 3 x a x a
-18a6 = -( 2 x3 x 3 x a x a x a x a x a x a)
-12a² = -( 2 x 2 x 3 x a x a )
Therefore HCF = 2 x 3 x a²
= 6a²
(5) 3y³z² = 3 x y x y x y x z x z , 3 x y³ x z²
15y^4z² = 3 x 5 x y x y x y x y x y x z x z, 3 x 5 x y^4 x z²
y^6z³ = y^6 x z³
Therfore HCF = y³ x z²
= y³z²
Answer:
89
Step-by-step explanation:
Use the mean formula, mean = sum of elements / number of elements.
He wants to keep his average at 85 or higher, so plug in 85 as the mean. Let x represent the score he has to get, and solve for x:
mean = sum of elements / number of elements.
85 = (85 + 76 + 94 + 81 + x) / 5
85 = (336 + x) / 5
425 = 336 + x
89 = x
So, he has to get a 89.
Answer:
0
Step-by-step explanation:
0 is considered a whole number, but it is not a natural number. The natural numbers start at +1 and go forward. ) is not positive or negative, but being that it is a whole number, it is also a rational number.
Answer:
answer is 5.50
Step-by-step explanation:
multiply 2.75 times two because 3 by 5 is half of 9 by 15
