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4 years ago

1/ 3 (y+7)=3(y−1) help me

Mathematics

1 answer:

Alex_Xolod [135]4 years ago

5 0

Answer:

y=2

Step-by-step explanation:

1/3(y+7)=3(y-1)

1) Distribute 1/3 to y+7, and distribute 3 to y-1:

1/3y+7/3=3y-3

2) Add 3 to both sides:

1/3y+16/3=3y

3) Subtract 1/3y from both sides:

16/3=8/3y

4) Multiply both sides by the reciprocal of 8/3: (3/8)

y= 48/24

5) Simplify:

y=2

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marissa [1.9K]

The answer is 7/8!!!!!!

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3 years ago

ABC and EDC are straight lines. EA is parallel to DB. EC = 8.1 cm. DC = 5.4 cm. DB = 2.6 cm. (a) Work out the length of AE. cm (

harkovskaia [24]

By applying the knowledge of similar triangles, the lengths of AE and AB are:

a. $\mathbf{AE = 3.9 $ cm}\\\\$

b. $\mathbf{AB = 2.05 $ cm} \\\\$

See the image in the attachment for the referred diagram.

The two triangles, triangle AEC and triangle BDC are similar triangles.
Therefore, the ratio of the corresponding sides of triangles AEC and BDC will be the same.

This implies that:

AC/BC = EC/DC = AE/DB

Given:

$EC = 8.1 $ cm\\\\DC = 5.4 $ cm\\\\DB = 2.6 cm\\\\AC = 6.15 $ cm$

a. Find the length of AE:

EC/DC = AE/DB

Plug in the values

$\frac{8.1}{5.4} = \frac{AE}{2.6}$

Cross multiply

$5.4 \times AE = 8.1 \times 2.6\\\\5.4 \times AE = 21.06$

Divide both sides by 5.4

$AE = \frac{21.06}{5.4} = 3.9 $ cm$

b. Find the length of AB:

$AB = AC - BC$

AC = 6.15 cm

To find BC, use AC/BC = EC/DC.

Plug in the values

$\frac{6.15}{BC} = \frac{8.1}{5.4}$

Cross multiply

$BC \times 8.1 = 6.15 \times 5.4\\\\BC = \frac{6.15 \times 5.4}{8.1} \\\\BC = 4.1$

Thus:

$AB = AC - BC$

Substitute

$AB = 6.15 - 4.1\\\\AB = 2.05 $ cm$

Therefore, by applying the knowledge of similar triangles, the lengths of AE and AB are:

a. $\mathbf{AE = 3.9 $ cm}\\\\$

b. $\mathbf{AB = 2.05 $ cm} \\\\$

Learn more here:

brainly.com/question/14327552

3 0

3 years ago

Factor completely 20x^3y + 30x^2y^2.

weqwewe [10]

Answer:

10x^2 y(2x + 3y)

Step-by-step explanation:

20x^3 y + 30x^2 y^2.

Factor 10x^2y out of 20x^3y.

10x^2 y (2x) + 30x^2 y^2

Factor 10x^2y out of 30x^2y^2.

10x^2 y (2x) + 10x^2 y (3y)

Factor 10x^2y out of 10x^2 y (2x) + 10x^2 y (3y).

10x^2 y(2x + 3y)

you factor out 10x^2y from both side which you will then get 10x^2 y (2x) + 10x^2 y (3y) than you factor out 10x^2y again and get 10x^2 y(2x + 3y) your third option

6 0

3 years ago

If 2(x + 3) + 7x = 3(x - 2) - 9, then x = ?

Fudgin [204]

Answer:

x=− 7 over 2 =−3.500

Hope this helps!

5 0

4 years ago

Read 2 more answers

Solve –2x2 +3x – 9 = 0. (solving quadratic equation with complex numbers)..

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