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3 years ago

Wyatt solved the following equation: x + one over two (6x − 4) = 6

Mathematics

1 answer:

Kamila [148]3 years ago

3 0

Answer:

x = 2

Step-by-step explanation:

x + 1/2 (6x - 4) = 6

DISTRIBUTIVE PROPERTY (distribute the 1/2)

x + 3x - 2 = 6

SIMPLIFY (combine like terms)

4x - 2 = 6

solve for x by adding 2 to both sides

4x = 8

divide both sides by 4

x = 2

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Solve the polynomial inequality and graph the

valkas [14]

Answer:

-6 < x < 3/4

Step-by-step explanation:

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2 years ago

What.is the y intercept of a line given by the equation y=5×-21?

Amiraneli [1.4K]

Answer:

y-5x=21

Step-by-step explanation:

^^^^^^

answer

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3 years ago

HELP ASAP The range of which function is (2, infinty)

n200080 [17]

Answer:

Step-by-step explanation:

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2 years ago

Please ΔEFU ~ ΔVWU. Find the length of UF.

koban [17]

<h3>Answer: UF = 11</h3>

=======================================================

Explanation:

In EFU, we see that EU are the first and last letters. In VWU, we see that VU are the first and last letters. This order is important to be able to pair EU with VU

So EU/VU is one ratio

The other ratio is UF and UW, which are the last two letters of EFU and VWU respectively. So the other ratio is UF/UW

Set the ratios equal to each other and solve for x

EU/VU = UF/UW

7/35 = x/55

7*55 = 35*x ... cross multiply

385 = 35x

35x = 385

x = 385/35 .... divide both sides by 35

x = 11

UF = 11

------------

Or you could note how UV = 35 is exactly 5 times larger compared to EU = 7

That must mean WU = 55 must also be 5 times larger compared to UF = x

So,

WU = 5*UF

55 = 5x

5x = 55

x = 55/5

x = 11

UF = 11

This is similar to the previous section because UV/EU = 35/7 = 5 is the scale factor.

4 0

3 years ago

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unkno

spin [16.1K]

The other endpoint is (1, -17).

The midpoint formula is:

$m=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

Using our midpoint and endpoint, we have:
$(6, -11) = (\frac{11+x_2}{2}, \frac{-5+y_2}{2})
\\
\\6=\frac{11+x_2}{2} \text{ and } -11=\frac{-5+y_2}{2}
$

For the first equation (to find the x-coordinate) we will multiply both sides by 2:
$6\times2=\frac{11+x_2}{2}\times 2
\\
\\12=11+x_2$

Subtract 11 from both sides:
12 - 11 = 11+x₂ - 11
1 = x₂

For the second equation (the y-coordinate) we multiply both sides by 2:
$-11\times2=\frac{-5+y_2}{2}\times 2
\\
\\-22=-5+y_2$

Add 5 to both sides:
-22+5 = -5+y₂ + 5
-17 = y₂

This means that (x₂, y₂) is at (1, -17).

4 0

2 years ago