Write an algebraic expression for the phrase. the sum of f and 6

Which of the following steps can be performed so that the square root property may easily be applied to 2x2 = 16? (1 point)

Ivan

Answer:

$\Large \boxed{\mathrm{Option \ 2}}$

Step-by-step explanation:

$2x^2 =16$

The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is x, so divide both sides by 2 before applying the square root property.

The x variable should be isolated on one side of the equation. The x variable is squared so before performing the square root property where we take the square root of both sides, we divide both sides by 2, then take the square root of both sides.

Dividing both sides by 2.

$\displaystyle \frac{2x^2 }{2} =\frac{16}{2}$

$x^2 =8$

Taking the square root of both sides.

$\sqrt{x^2 } =\pm \sqrt{8}$

$x=\pm 2\sqrt{2}$

7 0

3 years ago

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write an equation in slope intercept form for the line that passes through (4, -4) and is parallel to 3x+4x=2y-9

photoshop1234 [79]

Answer:

$\large\boxed{y=\dfrac{7}{2}x-18}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

Convert the equation of a line 3x + 4x = 2y - 9 to the slope-intercept form:

$3x+4x=2y-9$

$7x=2y-9$ add 9 to both sides

$7x+9=2y$ divide both sides by 2

$\dfrac{7}{2}x+\dfrac{9}{2}=y\to y=\dfrac{7}{2}x+\dfrac{9}{2}$

Parallel lines have the same slope. Therefore we have the equation:

$y=\dfrac{7}{2}x+b$

Put the coordinates of the point (4, -4) to the equation:

$-4=\dfrac{7}{2}(4)+b$

$-4=7(2)+b$

$-4=14+b$ subtract 14 from both sides

$-18=b\to b=-18$

Finally we have the equation:

$y=\dfrac{7}{2}x-18$

8 0

4 years ago

The ten sides of a regular decagon are colored with five different colors, so that all five colors are used, and sides that are

const2013 [10]

Answer:

120

Explanation:

Number the sides of the decagon: 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10, from top (currently red) clockwise.

The side number one can be colored of five different colors (red, orange, blue, green, or yellow): 5

The side number two can be colored with four different colors: 4

The side number three can be colored with three different colors: 3

The side number four can be colored with two different colors: 2

The side number five can be colored with the only color left: 1

Each of the sides six through ten can be colored with one color, the same as its opposite side: 1

Thus, by the multiplication or fundamental principle of counting, the number of different ways to color the decagon will be:

5 × 4 × 3 × 2 ×1 × 1 × 1 × 1 × 1 × 1 = 120.

Notice that numbering the sides starting from other than the top side is a rotation of the decagon, which would lead to identical coloring decagons, not adding a new way to the number of ways to color the sides of the figure.

6 0

3 years ago

It takes you 45 minutes to wash a car

tangare [24]

Answer:

37.5 minutes

Step-by-step explanation:

45+30=75

=75 =37.5

2

This might help you!!!!

6 0

3 years ago

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Find the percentages.

irga5000 [103]

Answer: 55% are girls,45% are boys, number of girls is 122% of the boys,number of boys is 81.8%

Step-by-step explanation: percentage of girls = number of girls ÷ total population × 100

= (198/360)× 100 = 55%

Number of boys = 360 -198 = 162

Percentage of boys = (162/360) × 100 = 45%

Percentage of girls to boys = (198/162) × 100 = 122%

Percentage of boys to girls = (162/198) × 100 = 81.8%

5 0

4 years ago