Answer:
see explanation
Step-by-step explanation:
The translation represented by
interprets as a shift of 1 unit to the right ( add 1 to x- coordinate ) and a
shift of 4 units down ( subtract 4 from the y- coordinate ), then
(1, 4 ) → (1 + 1, 4 - 4 ) → (2, 0 )
(4, 4 ) → (4 + 1, 4 - 4 ) → (5, 0 )
(6, 2 ) → (6 + 1, 2 - 4 ) → (7, - 2 )
(1, 2 ) → (1 + 1, 2 - 4 ) → (2, - 2 )
Answer:
A. the first one is true because when x = 5, 4x - 1 equals 19. The second inequality doesn't allow for it to equal 19.
B. 9 is the value that makes the equation true. See below for work to show.
Step-by-step explanation:
4x -1 </= 19 is true because it's "less than or equal to" and when you change the x to 5, the answer is exactly 19. 4(5) - 1 = 19. The other sentence is "4x - 1 is less than 19", and that means it can't equal 19 for that sentence to be true.
Math + words = confusion sometimes. Does that make sense?
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Now let's solve
5x + 2 = 47
Subtract 2 from both sides
5x = 45
divide both sides by 5
x = 9
Please lmk if you have questions.
Answer:
C
Step-by-step explanation:
The rule tells you that (x,y) -> (x + 1, y - 3), so you take each vertice and add one to the x-values, and subract 3 from the y-values.
(-6, 4) -> (-6 + 1, 4 - 3) which simplifies to (-5, 1)
(-3, -2) -> (-3 + 1, -2 - 3) which simplifies to (-2, -5)
(2, 1) -> (2 + 1, 1 - 3) which simplifies to (3, -2)
Answer:
L = 19
W = 18
Step-by-step explanation:
Equation
- P = 2*(L + W)
- Let the Width = W
- Then the Length = W + 1
Givens
- P = 74
- The two consecutive numbers are one after the other.
Solution
- 2*(L + W) = 74 Substitute W + 1 for L
- 2(W + 1 + W) = 74 Combine like terms on the left
- 2(2W + 1) = 74 Remove the brackets on the left
- 4W + 2 = 74 Subtract 2 from both sides.
- 4W + 2 - 2 = 74 - 2 Combine
- 4W = 72 Divide by 4
- 4W/W = 72/4 Do the division
- W = 18
- L = 18 + 1 = 19
Note: If the assumption is incorrect, please finish your sentence with odd or even consecutive numbers. I've used the word consecutive to be un modified. That way consecutive means one number after another.