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2 years ago

How many solutions does the equation 6(x -2) = 8 + 6x have?

Mathematics

1 answer:

Contact [7]2 years ago

7 0

Answer:

There are no solutions.

Step-by-step explanation:

First simplify the equation.

6(x - 2) = 8 + 6x

Distribute.

6x - 12 = 8 + 6x

Adding 8 to a number and subtracting 12 from the same number to get the same answer doesn't make sense so there are no solutions.

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Write the equation of a line through the points (−7,14) and (−21,28) in slope-intercept form

Harlamova29_29 [7]

Answer: y= -x + 7

Solution:

Step 1 : find the slope using the equation using the pair of coordinates that are given i.e A (−7,14) B (−21,28) ( name them A and B respectively so they can be easily named as x1, y1 and x2,y2 respectively)

m = y2-y1/x2-x1

m = 28-14 / -21 -( -7)

m = 14 / -14

m = -1

Step 2 : Find the y intercept using the line of equation (use and one of the given coordinates either A or B)

Using A ( -7, 14)

y= mx+ b

14 = (-1)(-7) + b

14= 7 + b

14-7 = b

7 =b

So,

y=mx+b

Insert m and b

y= -x + 7

8 0

2 years ago

The triangles are congruent by SSS.

Marysya12 [62]

Answer:

a and d

Step-by-step explanation:

i took the test

8 0

2 years ago

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Based on the function f(x)=x^2+4x-3which of the following statements are true

rosijanka [135]

here try this right here

3 0

2 years ago

Greenfield village is spread across 240 acres of land. Only 37% of the land is used for the exhibits, while the rest of the land

Sergeeva-Olga [200]

Answer:

The land which are used for exhibits are 89 acres (approximately).

Step-by-step explanation:

Given:

Village is spread across 240 acres of land. 37% of land is used for the exhibits.

Now, we have to find acres of land which are used for exhibits.

So, here it is given that land used for exhibits is 37%, and we have to calculate the quantity from the percentage given:

According to question:

37% of 240 acres of land.

$\frac{37}{100}\times 240$

$0.37\times 240$

$88.80$

So, the land used for exhibits are 88.80 acres.

Therefore, the land which are used for exhibits are 89 acres (approximately).

5 0

3 years ago

If a+b=2 find the value of a3+b3+6ab

mars1129 [50]

Answer:

Step-by-step explanation:

Factor the sum of cubes

a³ + b³ = (a+b)(a² - ab +b²)

= 2a² - 2ab + 2b²

a³ + b³ + 6ab = 2a² + 4ab + 2b²

= 2(a² + 2ab +b²)

= 2(a+b)²

= 8

7 0

2 years ago