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Gnesinka [82]
3 years ago
10

BRAINLIEST AND 10+POINTS! :)

Mathematics
2 answers:
NeX [460]3 years ago
6 0

Answer:

D

Step-by-step explanation:

No matter how you group the numbers in D they will give you the same sum.

BartSMP [9]3 years ago
5 0

Answer: D.

Step-by-step explanation:

The associative property of addition states that numbers can be added together regardless of how they are grouped.

Answer A shows a property of multiplication.

Answer B shows the additive identity property.

Answer C shows the commutative property.

However, answer D shows that the numbers can be added regardless of how they are grouped.

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Step-by-step explanation:

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Rainbow [258]

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2 years ago
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Sketch the region that is common to the graphs of x ≥ 2,
Oliga [24]

a. Find the graph of their common region in the attachment

b. The area of the common region of the graphs is 8 units²

<h3>a. How to sketch the region common to the graphs?</h3>

Since we have x ≥ 2, y ≥ 0, and x + y ≤ 6, we plot each graph separately and find their region of intersection.

  • The graph of x ≥ 2 is the region right of the line x = 2.
  • The graph of y ≥ 0 is the region above the line y = 0 or x-axis.
  • To plot the graph of x + y ≤ 6, we first plot the graph of x + y = 6 ⇒ y = -x + 6. Then the graph of x + y ≤ 6 is the graph of y ≤ - x + 6.

So, the graph of x + y ≤ 6 is the region below the line y = - x + 6

From the graph, the regions intersect at (2, 0), (2, 4) and (6, 0)

Find the graph of their common region in the attachment

<h3>b. The area of the common region</h3>

From the graph, we see that the common region is a right angled triangle with

  • height = 4 units and
  • base = 4 units

So, its area = 1/2 × height × base

= 1/2 × 4 units × 4 units

= 1/2 × 16 units²

= 8 units²

So, the area of the common region of the graphs is 8 units²

Learn more about region common to graphs here:

brainly.com/question/27932405

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2 years ago
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Answer:

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Step-by-step explanation:

2

\frac{2}{5}

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Step-by-step explanation:

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