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3 years ago

Evaluate -2/3 - (-1/2)

Mathematics

2 answers:

torisob [31]3 years ago

7 0

Answer:

The answer is -1/6

Step-by-step explanation:

-2/3 - (-1/2)

=-2/3+1/2

=-1/6

dezoksy [38]3 years ago

7 0

Answer:

-1/6

Step-by-step explanation:

<em>[remember: (-)(-) is (+) , (+)(-) is (-) , (+)(+) is (+)]</em>

-2/3 - (-1/2)

⇒ -2/3 + 1/2

LCM of 3 and 2 is 6,

⇒ -2 × 2/3 × 2 + 1 × 3/2 × 3

⇒ -4/6 + 3/6

⇒ -4 + 3 /6

⇒ -1/6

hope you understood!

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Find the perimeter of the polygon. Round your answer to the nearest tenth.

lubasha [3.4K]

Answer:

Perimeter is 38.8 units and approximately 39 units

Step-by-step explanation:

Given: Graph

To find: perimeter of the polygon

Solution:

Distance between points $(x_1,y_1),(x_2,y_2)$ is given by $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

As per the graph,

point P is (-2,11)

point Q is (-4,6)

point R is (2,0)

point S is (1,7)

point T is (8,7)

$PQ=\sqrt{(-4+2)^2+(6-11)^2}=\sqrt{(-2)^2+(-5)^2}=\sqrt{29}=5.4\,\,units\\QR=\sqrt{(2+4)^2+(0-6)^2}=\sqrt{(6)^2+(-6)^2}=\sqrt{72}=8.5\,\,units\\RS=\sqrt{(1-2)^2+(7-0)^2}=\sqrt{(-1)^2+(7)^2}=\sqrt{50}=7.1\,\,units\\ST=\sqrt{(8-1)^2+(7-7)^2}=\sqrt{(7)^2+(0)^2}=\sqrt{49}=7\,\,units\\PT=\sqrt{(8+2)^2+(7-11)^2}=\sqrt{(10)^2+(-4)^2}=\sqrt{116}=10.8\,\,units$