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3 years ago

13

Two imaginary roots A.144 B.O D.-4 C.36

1 answer:

Vaselesa [24]3 years ago

6 0

Answer:

D) -4 (with imaginary roots ±2i)

Step-by-step explanation:

Since you cannot take the square root of a negative number to produce a real result, the only option that has two imaginary roots is D) -4, where the two imaginary roots are 2i and -2i.

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The point A(4, 1) is reflected over the point (0, -3) and its image is point B. What are the coordinates of point B?

omeli [17]

A reflection over the point (0,0) is given by:

$(x,y)\rightarrow(-x,-y)$

Nevertheless, the reflection is being made over the point (0,-3). We can first make a traslation of the point (0,-3) to the origin. Then, reflect the new coordinates of the point A through the origin and then bring back the new origin to (0,-3).

First, make a traslation such that the new coordinates of (0,-3) are (0,0):

$(x,y)\rightarrow(x,y+3)$

Then, apply a reflection through the origin:

$(x,y+3)\rightarrow(-x,-y-3)$

Finally, make a traslation reciprocal to the first one:

$(-x,-y-3)\rightarrow(-x,-y-3-3)=(-x,-y-6)$

Therefore, the reflection over the point (0,-3) can be written as:

$(x,y)\rightarrow(-x,-y-6)$

Substitute (x,y)=(4,1) to find out the new coordinates of A after the reflection:

$\begin{gathered} A\rightarrow B \\ \Rightarrow(4,1)\rightarrow(-4,-1-6)=(-4,-7) \end{gathered}$

Therefore, the coordinates of the point B are (-4,-7).

4 0

1 year ago

Write -2.32 as a mixed number in simple form

Reil [10]

Answer:

-2.32 in a mixed number in simplest form is 2 31/100

Step-by-step explanation:

5 0

3 years ago

Differentiate each of the following, where

ankoles [38]

Answer:

$\frac{\textbf{dy}}{\textbf{dx}} = \textbf{10ax}+\textbf{9bx}^2$

Step-by-step explanation:

Let

$y= 5ax^2+3bx^3+5$

Differentiating y with respect to x

$\frac{dy}{dx} =5a(2x)+3b(3x^2)+0$

$\frac{dy}{dx}= 10ax+9bx^2$ where a and b are constants

4 0

3 years ago

What is the mean?<br> {38, 21, 64, 59, 21, 12, 13, 66, 55, 21}

pogonyaev

Answer:

37

Step-by-step explanation:

Add all the numbers up and you will get 370. How many numbers are there in total? 10 right so you divide 370 with 10 and get 37.

hope this help

5 0

3 years ago

Read 2 more answers

When the vat rate is 15% a customer pays 1610 to buy an electric iron .find the cost of the iron without vat (solve by video)

Schach [20]

Answer:

Cost without vat is 1,368.5

Step-by-step explanation:

Here, we want to know the cost of the iron without the vat.

From the question , we can see that 15% VAT brought the cost to 1610.

This means that the original cost without vat is 100% -15% = 85% of the total

Thus;

85/100 * 1610 is the cost without vat

And that is;

136850/100 = 1,368.5

5 0

4 years ago