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3 years ago

Which linear inequality is represented by the graph?

Mathematics

1 answer:

Dvinal [7]3 years ago

5 0

The correct answer is C: y > 2/3x + 3

(1,4) ⇒ within the shaded region

4 > 2/3(0) + 3
4 > 0 + 3
4 > 3
True

(0,0) ⇒ within the unshaded region

0 > 2/3(0) + 3
0 > 0 + 3
0 > 3
False

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faltersainse [42]

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torisob [31]

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3 years ago

Please help!! (Question in picture) <br> FOR BRAINLIEST + MORE

Oliga [24]

A. 4y(2y + 5) = 4y(2y) + 4y(5) = 8y² + 20y

B. 7a(3a + 8b) = 7a(3a) + 7a(8b) = 21a² + 56ab

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3 years ago

Please help me with this geometry question

mixer [17]

Answer:

$180+18\sqrt{3}\ in^2.$

Step-by-step explanation:

The surface area of right triangular prism is the sum of area of two base triangles and 3 area of side rectangles.

The area of base triangle is

$A_{base}=\dfrac{a^2\sqrt{3}}{4},$

where a is the length of the side of equilateral triangle. In your case, a=6 inches. Thus,

$A_{base}=\dfrac{6^2\cdot\sqrt{3}}{4}=9\sqrt{3}\ in^2.$

The area of side rectangle is

$A_{side}=ah,$

where h is the height of the rectangle. In your case, h=10 inches. Thus,

$A_{side}=6\cdot 10=60\ in^2.$

Hence, the surface area is

$SA=2\cdot 9\sqrt{3}+3\cdot 60=180+18\sqrt{3}\ in^2.$

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3 years ago