815 divide by 9 work

Mathematics

1 answer:

yKpoI14uk [10]2 years ago

3 0

90.555555555555 repeating

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In the diagram below of triangle UVW, X is a midpoint of UV and Y is a midpoint

NeTakaya

Step-by-step explanation:

Given: X is midpoint of UV and Y is midpoint of VW.

$\therefore XY || UW$

(By mid-point theorem)

$\therefore \angle XYV \cong \angle UWY\\.. (corresponding\: \angle 's) \\\therefore m\angle XYV = m\angle UWY\\\therefore 98 - 6x = 63- x\\\therefore 98 - 63= 6x- x\\\therefore 35= 5x\\\\\therefore x = \frac{35}{5}\\\\\huge \orange {\boxed {\therefore x = 7}} \\\\m\angle UWY = (63 - x) °\\\\\therefore m\angle UWY = (63 - 7) °\\\\\huge \purple {\boxed {\therefore m\angle UWY = 56 °}}$

5 0

2 years ago

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:

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