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VikaD [51]
3 years ago
12

Subtract -4a^2-2ab+9b^2 from 7a^2-3ab+5b^2

Mathematics
1 answer:
tresset_1 [31]3 years ago
7 0

{7a}^{2}  - 3ab +  {5b}^{2}  - ( -  {4a}^{2}  - 2ab +  {9b}^{2}) \\  =  {7a}^{2}  - 3ab +  {5b}^{2}   + {4a}^{2}   + 2ab + -  {9b}^{2}) \\ = {7a}^{2}   +  {4a}^{2}  -  3ab   + 2ab +   {5b}^{2}  -  {9b}^{2}) \\ =  {11a}^{2}  - ab -  {4b}^{2}

<u>Answer</u><u>:</u>

<u>{11a}^{2}  - ab -  {4b}^{2}</u>

Hope you could understand.

If you have any query, feel free to ask

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Subtract. What is the difference (9 * 10"") - (4 * 10 ") in scientific
Nady [450]

Answer:

(5 * 10")

Step-by-step explanation:

9-4 = 5

I don't understand the "" part but im pretty sure this is what you meant

8 0
3 years ago
Find the formula for the area of the shaded region in the figure.<br> x² = 4py<br> ہے
Alexandra [31]

The formula for the area of the shaded region in the figure.

x² = 4py is mathematically given as

A=\frac{8}{3} \sqrt{p h} \cdot h

<h3>What is the formula for the area of the shaded region in the figure?</h3>

Parameters

$x^{2}=4 p y$

$y=h$

\therefore x^{2}=4 p h \Rightarrow x=2 \sqrt{p h} \\

Generally, the equation for the Area is mathematically given as

& A=2 \int_{0}^{2 \sqrt{p h}}\left(h-\frac{x^{2}}{4 p}\right) d x \\\\& A=2\left(h x-\frac{x^{3}}{12 p}\right]_{0}^{2 \sqrt{p h}} \\\\& A=2\left[\left[h 2 \sqrt{p h}-\frac{1}{12 p} \cdot(2 \sqrt{p h})^{3}-0\right]\right. \\

&A=2\left[2 h^{3 / 2} \sqrt{p}-\frac{8(\sqrt{p})^{3}(\sqrt{h})^{3}}{12 p}-0\right] \\\\&A=2\left[2 h^{k / 2} \sqrt{p}-\frac{2}{3} \sqrt{p} \cdot h^{3 / 2}\right] \\\\&A=2 \times \frac{4 \sqrt{p} \cdot h^{3 / 2}}{3} \\\\&A=\frac{8}{3} \cdot \sqrt{p} \cdot \sqrt{h} \cdot h \\\\&A=\frac{8}{3} \sqrt{p h} \cdot h

A=\frac{8}{3} \sqrt{p h} \cdot h

In conclusion,  the equation for the Area is

   

A=\frac{8}{3} \sqrt{p h} \cdot h

Read more about Area

brainly.com/question/27683633

#SPJ1

5 0
2 years ago
Alex saved x dollars.
steposvetlana [31]
Answer:
Ethan = 1.(3x)

Step-by-step explanation:
Let's split "Ethan saved 1/3 more than that"
That = x
So, Ethan saved 1/3 more than x
Meaning that Ethan = x + 1/3x
Combine like terms
Ethan = 1 1/3x
which equals to
Ethan = 1.(3x)

Hope this helps :)
Have a great day


4 0
3 years ago
Can someone Plzzz help me out???
Vitek1552 [10]

Hello from MrBillDoesMath!


Answer:  3


Discussion:

The perimeter of a polygon is the sum of the side lengths.

Perimeter of top polygon is   (x+2) + 2x + (x + 2) + (4x + 1) =  8x + 5

Perimeter of bottom triangle is   4x + 2x + (3x+2 ) =  9x + 2


The perimeters are the same when

8x + 5 = 9x + 2

Subtract 8x from both sides:

5 = (9x - 8x) + 2   or

5 = x + 2

Subtract 2 from each side to get x = 3:

5 -2 = 3 = x


The perimeter of either figure is 29



Regards, MrB

6 0
3 years ago
The answer is not 1465.5. Every month, Ms. Thomas pays her car loan through automatic payments (withdrawals) from her savings ac
Andrew [12]

Answer:

$244.25

Step-by-step explanation:

First, the question is asking what the change in her savings account balance is each month. So, you know that you are looking for the amount that is lost each month. When it says that at the end of the year, she has payed $2,931 , what is implied is that she has spent that much over 12 months. So all that is needed to do is divide her balance change over the year by 12 to find the monthly balance change.

4 0
3 years ago
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