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hoa [83]
3 years ago
5

Solve each equation for the variable

Mathematics
1 answer:
motikmotik3 years ago
6 0

Answer:

X= -50

Step-by-step explanation:

Remove the parenthesis

multiply both sides by two

x - 6 =  -56

Move the 6 to the other side

x = -56 + 6

x = -50

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Please look please asap
Amiraneli [1.4K]
This may be 3 or it also may be 3
7 0
3 years ago
Which statement about the ordered pair (-6,8) is true?
fgiga [73]

Answer:

a

Step-by-step explanation:

solve for y in one equation

2x + y = -4

y = -4 - 2x

plug y into the other equation

5x + 3y = -6

5x + 3(-4 - 2x) = -6

5x -12 -6x = -6

-x - 12 = -6

-x = 6

x = -6

plug x into the equation to find y

y = -4 - 2x

y = -4 - 2(-6)

y = 8

ordered pair: (-6,8)

7 0
3 years ago
From a window 20 feet above the ground, the angle of elevation to the top of a building across
Nikitich [7]

Answer: The answer is 381.85 feet.

Step-by-step explanation:  Given that a window is 20 feet above the ground. From there, the angle of elevation to the top of a building across  the street is 78°, and the angle of depression to the base of the same building is 15°. We are to calculate the height of the building across the street.

This situation is framed very nicely in the attached figure, where

BG = 20 feet, ∠AWB = 78°, ∠WAB = WBG = 15° and AH = height of the bulding across the street = ?

From the right-angled triangle WGB, we have

\dfrac{WG}{WB}=\tan 15^\circ\\\\\\\Rightarrow \dfrac{20}{b}=\tan 15^\circ\\\\\\\Rightarrow b=\dfrac{20}{\tan 15^\circ},

and from the right-angled triangle WAB, we have'

\dfrac{AB}{WB}=\tan 78^\circ\\\\\\\Rightarrow \dfrac{h}{b}=\tan 15^\circ\\\\\\\Rightarrow h=\tan 78^\circ\times\dfrac{20}{\tan 15^\circ}\\\\\\\Rightarrow h=361.85.

Therefore, AH = AB + BH = h + GB = 361.85+20 = 381.85 feet.

Thus, the height of the building across the street is 381.85 feet.

8 0
3 years ago
Suppose that a 2 by 10 rectangular grid of seats is filled with people. On the
IrinaVladis [17]

There are 20! number of ways for everyone to do this so that at the end of the move, each seat is taken by exactly one person.

People are seated in a 2 by 10 rectangle grid. All 20 persons stand up from their seats and relocate to an orthogonally neighboring one upon the blowing of a whistle.

Now, we have to find the number of possible ways in which each seat is taken up by exactly one person after the move.

As the number of people is 20 and 20 seats are to filled exactly once.

So, the number of ways = 20!

Learn more about number here:

brainly.com/question/1991469

#SPJ1

4 0
2 years ago
Please help FAST:
Alex_Xolod [135]

Answer:

car a, car b

Step-by-step explanation:

car a 2x + 2= 4x

car b 3x + 3= 9x

both cars 13x

8 0
3 years ago
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