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Ipatiy [6.2K]
3 years ago
11

Select all expressions that are equivalent to 5x + (x+6) + 3x.

Mathematics
2 answers:
liraira [26]3 years ago
5 0
The correct answer is 9x+6.
SashulF [63]3 years ago
4 0

Answer:

Step-by-step explanation:

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Triangle DEF has vertices D = (-4,-4), E = (-2,-4), and F = (-3,-1). 5! 3 2 1 -7 6 5 4 3 2 2 3 4 5 6 10 5 3. What is the area of
maxonik [38]

Answer:

Area = 3

Step-by-step explanation:

Given

D = (-4,-4)

E = (-2,-4)

F = (-3,-1)

Solving (a) and (b):

See attachment for plot and labelled vertices

Solving (c): The area

This is calculated using:

Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2+x_3y_1 - x_1y_3|

Where:

D = (-4,-4) -- (x_1,y_1)

E = (-2,-4)  -- (x_2,y_2)

F = (-3,-1) -- (x_3,y_3)

This gives:

Area = \frac{1}{2}|(-4*-4) - (-4*-2) + (-2 *-1) - (-3*-4)+(-3*-4) - (-4*-1)|

Area = \frac{1}{2}|16 - 8 +2- 12+12 - 4|

Area = \frac{1}{2}|6|

This gives

Area = \frac{1}{2} * 6

Area = 3

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