The price of a toaster increase 10% to $40. What is the original price of the toaster before the increase?

Mathematics

1 answer:

tresset_1 [31]3 years ago

8 0

Answer:

36.36

Step-by-step explanation:

We can express 10% as a decimal by multiplying it by (1/100), resulting in 0.1. Therefore, adding 0.1 of the original price, or x, to the price will result in 40, so x+0.1*x=40

= 1.1x

Dividing both sides by 1.1, we get that x, or the original price, is $36.36 (approximately).

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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 (h, k) and r 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:

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