The subtraction gives -7x^2( x + 1) - 3
<h3>What are algebraic expressions?</h3>
Algebraic expressions are expressions are expressions that are made up of factors, terms, variables and constants.
They also consist of arithmetic operations.
We have to subtract (6x^3 − x^2 + 8x + 5) from (−x^3 − 9x^2 + 2)
It is written as;
(−x^3 − 9x^2 + 2) - (6x^3 − x^2 + 8x + 5)
−x^3 − 9x^2 + 2 - 6x^3 + x^2 - 8x - 5
collect like terms
-x^3 - 6x^3 - 9x^2 + x^2 + 2 - 5
Add like terms
-7x^3 - 7x^2 - 3
To simply further
-7x^2( x + 1) - 3
Thus, the subtraction gives -7x^2( x + 1) - 3
Learn more about algebraic expressions here:
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Answer: a) D = √148
m = (-5,4)
b) D = √241
m = (1, 7.5)
c) D = √20
m = (0,-4)
Step-by-step explanation:
Distance and Midpoint Formulas
distance = D = √[(x₂-x₁)² + (y₂-y₁)²]
Midpoint: m = ((x₂+x₁)/2 , (y₂+y₁)/2)
(−4, 10) and (−6, −2)
D = √[(-6-(-4))² + (-2-10)²] = √[(-6+4))² + (-2-10)²] = √[(-2))² + (-12)²] =
√[4 + 144] = √148
m = ((-6+(-4))/2 ; (-2+10)/2
m = (-10/2 ; 8/2)
m = (-5,4)
(−1, 15) and (3, 0)
D = √[(3-(-1))² + (0-15)²] = √[(3+1))² + (0-15)²] = √[(4)² + (-15)²] =
√[16 + 225] = √241
m = ((3+(-1))/2 ; (0+15)/2
m = (2/2 ; 15/2)
m = (1,7.5)
(2, −3) and (−2, −5)
D = √[(-2-2)² + ((-5)-(-3)²] = √[(-4))² + (-5+3)²] = √[(-4)² + (-2)²] =
√[16 + 4] = √20
m = (-2+2))/2 ; (-5+(-3))/2
m = (0/2 ; -8/2)
m = (0,-4)
so we know the radius of the sphere is 8, and its surface area is 4πr², therefore its surface area is 4π8², namely 256π.
we also know that the surface area of the cylinder is half that of the sphere, namely 256π/2 or 128π, let's use that surface area to get the height h.
since now we know h and r for the cylinder, and we also know r for the sphere, let's check their volume's ratio.
41/18 as a mixed number is 2 5/18
Answer: x = 8
Step-by-step explanation: PLEASE GIVEBRAINLIEST IT HELPS ALOT
