Answer:
The correct answer is the alternative because the associative property of the sum states that despite of how the numbers are grouped, the result is not affected
Step-by-step explanation:
4 + 12+ 18 = (4+12)+18 --> one form to be grouped (note parenthesis) = 4 + (12 +18) --> Second form to be grouped
Hence:
(4+12)+18 = 4+(12+18) (Associative property)
0.7 can be turned into a fraction which can be 70/100 and 3/4 can be turned into 75/100 so 3/4 would be greater
In the given diagram, the value of the dashed side of rhombus OABC is 5
<h3>Distance between two points </h3>
From the question, we are to determine the length of the dashed line (OA), in rhombus OABC
In the diagram, we can observe that the length of OA is the distance between point A and the origin (O).
Using the formula for calculating distance between two points,
d =√[(x₂-x₁)² + (y₂-y₁)²]
In the diagram,
The coordinate of the origin is (0, 0)
The coordinate of point A is (3, 4)
Thus,
x₁ = 0
x₂ = 3
y₁ = 0
y₂ = 4
Putting the parameters into the formula, we get
OA =√[(3-0)² + (4-0)²]
OA =√(3² + 4²)
OA =√(9+16)
∴ OA =√25
OA = 5
Hence, in the given diagram, the value of the dashed side of rhombus OABC is 5
Learn more on Distance between two points here: brainly.com/question/24778489
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Answer: x = -1
Step-by-step explanation:
i assume you mean
5x-(5x+3) = -1/3(12x+21)
lets start with the left
-(5x+3) can be turnd into -5x-3
now it is
5x-5x-3 and that can be just -3
now lets go to the right and get rid of the 1/3
we see the 3 at the bottom of 1/3, and (12x+21) can be factored with 3
so 1/3 x 3(4x+7) is what we get
1/3 x 3 cancels out so we are left with
-3 = (-4x-7)
lets try to get -4x by itself
if you move -4x to the left, turning it into 4x, and move -3 to the right, turning it into 3, you get 4x = -7 +3
-7 +3 = -4
4x = -4
devide by 4
4x/4 = -4/4
x = -1
