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2 years ago

Solve the formula 2x − 3y = 18 for y.

Mathematics

2 answers:

tensa zangetsu [6.8K]2 years ago

5 0

Answer:

y = $\frac{2}{3}$ x - 6

Step-by-step explanation:

2x - 3y = 18 ( subtract 2x from both sides )

- 3y = - 2x + 18 ( divide terms by - 3 )

y = $\frac{2}{3}$ x - 6

aalyn [17]2 years ago

5 0

Answer:

$2x - 3y = 18 \\ for \: \: \: removing \: - \: shift \\ \: 3y \: with \: 18 \\ 2x = 18 + 3y \\ 2x - 18 = 3y \\ \frac{2x - 8}{3} = y \: or \: \\ y = \frac{2x - 8}{3}$

Step-by-step explanation:

please mark me brainliest

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A pyramid has a rectangular base of length (3x + 1)cm and width xcm.

sergey [27]

Answer:

The dimension of the base of the Rectangle Pyramid is Length = 10 and Width = 8/3

Step-by-step explanation:

Given

Rectangle Pyramid

Base Length = 3x + 1

Base Width = x

Height = 12

Volume = 96

Required

Dimension of the base of the pyramid

Given that the volume of the pyramid is ⅓ of the base area * the height.

This is represented mathematical as

Volume = ⅓ * base area * height.

Where

Base area = width * length

Base area = (3x + 1) * x

Base area = 3x² + x.

So,

Volume becomes

Volume = ⅓ * (3x² + x) * 12.

Volume = (3x² + x) * 4

Substitute 96 for volume

96 = (3x² + x) * 4

Divide both sides by 4

96/4 = (3x² + x) * 4/4

24 = 3x² + x

Subtract 24 fr both sides

24 - 24 = 3x² + x - 24

0 = 3x² + x - 24

3x² + x - 24 = 0

Expand

3x² + 9x - 8x - 24 = 0

Factorize

3x(x + 3) - 8(x + 3) = 0

(3x - 8)(x + 3) = 0

3x - 8 = 0 or x + 3 = 0

3x = 8 or x = -3

x = 8/3 or x = -3

Recall that

Length = 3x + 1

Width = x

For any of the above expression, x can't be less than 0; so, x = -3 can't be considered.

Substitute x = 8/3

Length = 3x + 1

Length = 3(8/3) + 1

Length = 8 + 1

Length = 9

Width = x

Width = 8/3

Hence, the dimension of the base of the Rectangle Pyramid is Length = 10 and Width = 8/3

7 0

3 years ago

Four points partition the directed line segment from A to B. • Point P partitions the directed line segment from A to B into a 3

Alecsey [184]

Answer:

S is closest to B.

Step-by-step explanation:

Given a directed line segment from point A to B.

Point P divides the line A to B in a ratio 3:4.

Point Q divides the line A to B in a ratio 4:3.

Point R divides the line A to B in a ratio 2:5.

Point S divides the line A to B in a ratio 5:2.

To find:

The point which is closest to the point B.

Solution:

Here, to find the point closest to B we need to find the distances PB, QB, RB and SB.

We can see the sum of ratio 3:4, 4:3, 2:5 and 5:2 is 7.

Let the distance between A and B be 7 units.

Now, the distances can be found easily.

$PB = \dfrac{4}{7}\times 7 = 4\ units$

$QB = \dfrac{3}{7}\times 7 = 3\ units$

$RB = \dfrac{5}{7}\times 7 = 5\ units$

$SB = \dfrac{2}{7}\times 7 = 2\ units$

The point which has the minimum distance from point B, will be nearest to B.

We can clearly observe that SB is the minimum distance.

Therefore, <em>S is closest to B</em>.

4 0

2 years ago

Read 2 more answers

`If I measure from the very top point of one wave to the same top point on the next wave, what have I measured?

morpeh [17]

I believe it’s wavelength!

7 0

2 years ago

Help me on this please

Butoxors [25]

Answer:

y=35x+50

35*8=280

280+50=330

yes there will be 10 dollars left

I hope this is good enough:

8 0

3 years ago

Solve for C.<br> 5/4= -4c + 1/4

dybincka [34]

5/4= -4c + 1/4

Inverse operation

$\frac{5}{4} = -4c + \frac{1}{4}$

- 1/4 -1/4

5/4 - 1/4 = 4/4

$\frac{4}{4} = -4c$
-4c/-4 = 4/4 ÷ -4/1

4/4 *- 1/4 = c
-4/8 = c
c = -1/2

Answer: $c = - \frac{1}{2}$

6 0

3 years ago