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kaheart [24]
3 years ago
7

Grade Eight Math studying for exams please help. I have been trying to solve this for hours and am not able to. I only use one v

ariable equations. None of my friends can explain it either. Thank you so much! 25 points and brainliest!

Mathematics
1 answer:
Nitella [24]3 years ago
5 0

Heyyyyyyyy

Its 90km per hr

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the equation of a circle in general form is x squared + y squared + 20x + 12 y + 15 equals 0what is the equation of the circle i
Marrrta [24]

Answer: (x+10)^2+(y+6)^2=121

Step-by-step explanation:

The equation of a circle in the general form is:

 ax^{2}+by^2+cx+dy+e=0

The equaton of  a circle in standard form is:

(x-h)^2+(y-k)^2=r^2

Where the center is at <em>(h, k)</em> and <em>r</em> is the radius

To write the equation of a circle from general form to standard form, you must complete the squaare, as you can see below:

1- Given the equation in general form:

x^{2}+y^2+20x+12y+15=0

2- Complete the square:

-Group the like terms and move the constant to the other side.

- Complete the square on the left side of the equation.

- Add the same value to the other side.

Then you obtain:

(x^{2}+20x)+(y^2+12y)=-15\\(x^2+20x+(\frac{20}{2})^2)+(y^2+12y+(\frac{12}{2})^2)=-15+(\frac{20}{2})^2+(\frac{12}{2})^2\\\\(x+10)^2+(y+6)^2=-15+100+36\\(x+10)^2+(y+6)^2=121

4 0
3 years ago
What is 8/12 + 8/11
expeople1 [14]
The simplified answer is 46/33.
3 0
3 years ago
jenny wants to buy a winter coat for $200. the store advertises that customers can take 25% off the original price and then take
777dan777 [17]
Hello!

Let's check:

200 * 25% = 50

200 - 50 = 150

150 * 10% = 15

150 - 15 = 135

So, with the 25% and then an extra 10% off, the coat would cost $135.

200 * 35% = 70

200 - 70 = 130

So, Jenny's friend is incorrect, because that is not the same as a 35% discount.
6 0
3 years ago
At the fast food restaurant, four cheeseburgers and five small fries have a total of 2,310 calories. Three cheeseburgers and two
Svetlanka [38]

<u><em>Answer:</em></u> <em><u>290 calories in a cheeseburger and 230 calories in fries.</u></em>

<em><u>x = calories in a cheeseburger</u></em>

<em><u>y =  calories in an order of small fries</u></em>

<em><u>Four cheeseburgers and five small fries have 2,310 calories. Therefore</u></em>

<em><u>4x + 5y = 2310       (1)</u></em>

<em><u>Three cheeseburgers and two small fries have 1,330 calories. Therefore</u></em>

<em><u>3x + 2y = 1330        (2)</u></em>

<em><u>Equations (1) and (2) model the given situation.</u></em>

<em><u>To solve, multiply (1) by 2, and multiply (2) by 5 to obtain</u></em>

<em><u>  8x + 10y = 4620          (3)</u></em>

<em><u>15x + 10y = 6650          (4)</u></em>

<em><u>Subtract (3) from (4).</u></em>

<em><u>7x = 2030</u></em>

<em><u>x = 290</u></em>

<em><u>From (1), obtain</u></em>

<em><u>5y = 2310 - 4*290 = 1150</u></em>

<em><u>y = 230</u></em>

<em><u> x = 290, y = 23</u></em>

<u><em>Hope this helps!</em></u>

<u><em>:)</em></u>

5 0
3 years ago
Can anyone help me with this please?
lozanna [386]
Equal, greater than, less than in that order
8 0
3 years ago
Read 2 more answers
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