On simplifying the expression 13.8+ (-11.5) , we get 2.3 . And additions
13.8 + (-11.5) and (-13.8) + 11.5 are numbers will same value and opposite sign.
<h3>What are rules for adding a positive and a negative number?</h3>
For adding a negative and a positive number, use the sign of the larger number and subtract.
For example: (–8) + 2 = -6
Given that we have to solve 13.8 + (-11.5) = 13.8-11.5 (we subtract smaller no from larger and will use the sign of lager number that is + here)
13.8+(-11.5) = 13.8-11.5 =2.3
13.8+(-11.5) simply means that 13.8 -11.5 which is subtraction of 11.5 from 13.8
but (-13.8) + 11.5 = -13.8 +11.5 = -( 13.8 -11.5) [taking -1 common from the expression]
Therefore , -13.8 + 11.5 has same value as 13.8- 11.5 but opposite in sign.
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Answer:
C. 586.2 cm²
Step-by-step explanation:
Area of the figure = area of triangle + area of rectangle + area of semicircle
= (½*b*h) + (L*W) + ½(πr²)
Where,
b = 18 cm
h = 7 cm
L = 22 cm
W = 18 cm
π = 3.14
r = ½(18) = 9 cm
Substitute
Area = (½*18*7) + (22*18) + ½(3.14*9²)
Area = 63 + 396 + 127.17
Area = 586.17 ≈ 586.2 cm²
Answer:
100
Step-by-step explanation:
85 +80+100+85+x(the unknown),/the number of numbers ie 5
350+x/5=90
350+x=90 * 5
350+x=450
x=450-350
x=100
Hello,
Use the factoration
a^2 - b^2 = (a - b)(a + b)
Then,
x^2 - 81 = x^2 - 9^2
x^2 - 9^2 = ( x - 9).(x + 9)
Then,
Lim (x^2- 81) /(x+9)
= Lim (x -9)(x+9)/(x+9)
Simplity x + 9
Lim (x -9)
Now replace x = -9
Lim ( -9 -9)
Lim -18 = -18
_______________
The second method without using factorization would be to calculate the limit by the hospital rule.
Lim f(x)/g(x) = lim f(x)'/g(x)'
Where,
f(x)' and g(x)' are the derivates.
Let f(x) = x^2 -81
f(x)' = 2x + 0
f(x)' = 2x
Let g(x) = x +9
g(x)' = 1 + 0
g(x)' = 1
Then the Lim stay:
Lim (x^2 -81)/(x+9) = Lim 2x /1
Now replace x = -9
Lim 2×-9 = Lim -18
= -18
