Answer:
19. Opposite of a Difference ↔ E. -(8 - 3·m) = 3·m - 8
20. Opposite of a sum ↔ A. -[(-r) + 2p] = -(-r) - 2p
21. Opposite of an Opposite ↔ F. -1[ -1(9 - 2w)] = 9 - 2w
22. Multiplication by 0 ↔ B. 160 - (3d + 2)(0) = 160 - 0
23. Multiplication by ↔ D. -1 -(4r + 3s) + t = (-1)(4r + 3s) + t
21. Distributive property ↔ C. 5(2 - x) = 10 - 5x
Step-by-step explanation:
19. Opposite of a difference is the difference of the opposites
20. Opposite of a sum is the sum if the opposites
21. Opposite of an opposite is the original number
22. Multiplication by 0- The result of multiplication by 0 is 0
23. Multiplication by -1 results in the change in sign of a number
24. Distributive property - Multiplying the sum or difference of two numbers by a number, will have the same result as multiplying each each of the addends by the number individually and adding the product together.
Answer:
area=153.9 cm²
Step-by-step explanation:
radius r=Diameter/2=14/2=7 cm
area= π r²=3.14×7²≈153.86 cm²≈153.9 cm²
Answer: 12bd^2+48b^2d-64b^3[/tex]
Explanation:
we have general formula for binomial expansion which is
Since, we have to evaluate
here a=d and b=
Substituting values in the formula we will get
Answer:
(a) 
(b) 
Step-by-step explanation:
(a) From inspection of the graph, the x-intercepts (where 
) are at
and 
.
Therefore 
where 
is some constant
The y-intercept is at (0, -8)
Expanding the equation:
Therefore, -8a is the y-intercept
Comparing y-intercepts: -8 = -8a ⇒ a = 1
Substituting a = 1, the final equation in standard form is:
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(b) From inspection of the graph, the x-intercepts (where ) are at
and 
.
Therefore 
where is some constant
The y-intercept is at (0, -6)
Expanding the equation:
Therefore, 12a is the y-intercept
Comparing y-intercepts:
Substituting found value of a into the equation:
