Which shows the calculation you need to convert 8 liters to kiloliters?

Quadrilateral ABCD is dilated by a scale factor of 2 centered around (2, 2). Which statement is true about the dilation?

arsen [322]

Answer:

Option (B) is true i.e segment B'D' will run through (2,2) and will be longer than the segment BD.

Step-by-step explanation:

As the assumption quadrilateral ABCD is shown in figure a.

First located the center of the dilation which is located at (2,2) as shown in figure b.

The next thing we want to do is to determine the distance of the center of dilation to each of the points of quadrilateral ABCD as shown in figure b.

Let’s just start with the distance from the center to the point A, but notice we don’t have to move up and down in y direction. So, what we have to do is to increase this by the factor 2. Because this horizontal distance is 1 i.e. the distance from dilation center (2,2) to point A, we just have to multiply by 2 which would be a distance of 2 and this point right here will be the new location of point A’ (0,2).

And the distance from the center to the point C is the horizontal distance of 2 i.e. the distance from dilation center (2,2) to point C, we just have to multiply by 2 which would be a distance of 4 and this point right here will be the new location of point C’ (6,2).

And the distance from the center to the point B is the upward vertical distance of 1 i.e. the distance from dilation center (2,2) to point B, we just have to multiply by 2 which would be a vertical distance of 2 and this point right here will be the location of point B’ (2,4).

And similarly the distance from the center to the point D is the downward vertical distance of 1 i.e. the distance from dilation center (2,2) to point D, we just have to multiply by 2 which would be a vertical distance of 2 and this point right here will be the location of point D’ (2,0).

So, Quadrilateral A'B'C'D' is dilated by a scale factor of 2 centered around (2, 2).

Just notice in figure b that the segment B'D' will run through (2,2) and will be longer than the segment BD.

So,option (B) is true i.e segment B'D' will run through (2,2) and will be longer than the segment BD.

Learn more about dilation from brainly.com/question/12528454

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3 0

3 years ago

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Solve for x:

Anna71 [15]

Answer:

Often, the simplest way to solve "ax2 + bx + c = 0" for the value of x is to factor the quadratic, set each factor equal to zero, and then solve each factor. But sometimes the quadratic is too messy, or it doesn't factor at all, or you just don't feel like factoring. While factoring may not always be successful, the Quadratic Formula can always find the solution.

The Quadratic Formula uses the "a", "b", and "c" from "ax2 + bx + c", where "a", "b", and "c" are just numbers; they are the "numerical coefficients" of the quadratic equation they've given you to solve.

4 0

3 years ago

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Solve y = −23(x + 9) + 4 for x when y = 0.

Vlad [161]

Answer:

x = -203/23

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify

y = -23(x + 9) + 4

y = 0

Step 2: Solve for x

Substitute in y: 0 = -23(x + 9) + 4
[Subtraction Property of Equality] Subtract 4 on both sides: -4 = -23(x + 9)
[Division Property of Equality] Divide -23 on both sides: 4/23 = x + 9
[Subtraction Property of Equality] Subtract 9 on both sides: -203/23 = x
Rewrite: x = -203/23

3 0

3 years ago

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An employer uses the linear regression equation mc024-1.jpg to predict the weekly salary, y, of an employee who sells x dollars

uysha [10]

Joaquin is the x amount

6 0

3 years ago

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Tariq lives in Palm Beach, Florida, and purchased a house for $250,000. The amount of millage for property tax is 11.8. What is

IRISSAK [1]

Answer:

$29500

Step-by-step explanation:

We have been given that Tariq lives in Palm Beach, Florida, and purchased a house for $250,000. The amount of millage for property tax is 11.8%. We are asked to find the amount of property tax that Tariq paid.

To find the amount of property tax paid by Tariq, we need to calculate 11.8% of $250,000.

$\text{Amount of property tax paid by Tariq}=\$250,000\times \frac{11.8}{100}$

$\text{Amount of property tax paid by Tariq}=\$2500\times 11.8$

$\text{Amount of property tax paid by Tariq}=\$29,500$

Therefore, Tariq paid an amount of $29500 in tax.

6 0

3 years ago