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3 years ago

8x - 4y = -12 solve for y

1 answer:

4 0

Solving an equation means finding a value of a variable that make the equation true. This value is called the solution of the equation. A mathematical equation is just like a balanced equation. Both sides of the equation should be equal at all times. Whatever we do to one side, has to be done on the opposite side.

$8x - 4y = -12$

$4(2x-y)=-12

 
$ $Factor \ out \ the \ common \ term \ 4$

$2x-y=- \dfrac{12}{4}$ $Divide \ both \ sides \ by \ 4$

$2x-y=-3

 

$

$-y=-3-2x$ $Subtract \ 2x \ from \ both \ sides$

$y=3+2x$ $Multiply \ both \ sides \ by \ -1$

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Can someone plzz help me with these 2 questions. thanks!

Deffense [45]

9514 1404 393

Answer:

4. height: 5√3 cm; area: 25√3 cm²

5. 30√2 ft ≈ 42.43 ft

Step-by-step explanation:

4. The height of an equilateral triangle is (√3)/2 times the side length, so is ...

height = (√3)/2 × (10 cm) = 5√3 cm

The area is given by the formula ...

A = 1/2bh

A = 1/2(10 cm)(5√3 cm) = 25√3 cm²

5. The diagonal of a square is √2 times the side length, so the distance from 3rd to 1st base is ...

(30 ft)√2 ≈ 42.43 ft

The length of the diagonal of a square is something you should be familiar with. If you're not, you can figure the distance using the Pythagorean theorem.

d = √(30² +30²) = √1800 ≈ 42.43 . . . feet

6 0

2 years ago

Hey im having ALOT of trouble on this assignment for math theres one question i cant get, its 2+2=

Gnesinka [82]

. . Hmmmmmmmmm, I wonder what the answer could be XD

7 0

2 years ago

The average cost per person of attending an online class depends on the number of people attending. If 20 people attend, the web

kondaur [170]

Answer:

The last table given See attached image)

Step-by-step explanation:

Notice that they are asking for the inverse function to the one with the detailed relationship given. The original relationship was assigning to the Domain of number of people attending, the Range of values for charges.

Therefore, the inverse function will be assigning in the opposite way: from the average charges (now the Domain of this relationship), to the number of people attending (now the Range of this relationship). The relationship should also maintain the original element to element connection:

What was:

(20, $10) should now be ($10, 20)

(26, $6.25) should now be ($6.25, 26)

(35, $4) should now be ($4, 35)

This is exactly represented by the last table (see also image attached)

5 0

3 years ago

Read 2 more answers

Which of the values for x and y make the equation 2x + 3y + 4 = 15 true?

hjlf

X=1, y=3 because 2x1 is 2 and 3x3 is 9, 2 plus 9 equals 11 and 11 plus 4 equals 15

5 0

2 years ago

Read 2 more answers

A cactus casts a shadow 33 feet long. At the same time of day, Liam who is 6 feet tall, casts a shadow 9 feet long, as shown.

castortr0y [4]

Answer:

here's the solution :-

1.) =》the base of the larger triangle is the length of shadow formed by cactus .

so, length of cactus is : 33 feet.

2.) now, jn the smaller triangle formed by liam and it's shadow : -

=》

since both triangle form 90° the bases of both the larger and smaller triangles are parallel , so the base angles of larger triangle = corresponding base angles of the smaller triangle

hence, the both triangles are similar

( by A.A postulate )

now since the both triangles are similar, the the sides will be proportional ,

=》

$\frac{9}{33} = \frac{6}{x}$