Rectangle ABCD
Line AB = 4 - 1 = 3
Line CD = 4 - 1 = 3
Line AC = 2 - 1 = 1
Line BD = 2 - 1= 1
If line A'B' = 6
the scale factor of the dilation is 2.
Line AB: 3 x 2 = 6 line A'B/
To solve the question, the both equations should have a positive value and a negative value with same number. Then one variable can be eliminated.
To eliminate X term first, we should multiply the first equation by 2 and second one by 3.
Then,
6X - 12Y = -30
-6X + 15Y = 70
Or
To eliminate Y term first, we should multiply the first equation by 5 and second one by 6.
Then,
15X - 30Y = -75
-12X + 30Y = 84
According to the choices given 'A' is the correct answer.
Answer:
51
Step-by-step explanation:
5x^2 - x + 9
5(3^2) - 3 + 9
5(9) + 6
45 + 6
= 51
Answer:
f(g(x)) = 2x + 7; g(f(x)) = 2x+13; f(g(4)) = 15
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.
