Answer:
- The center (2, 2.5), radius
/ 2
Step-by-step explanation:
<u>The standard form of the equation of a circle is: </u>
- ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius
<u>Rewrite the given equation in the standard form:</u>
- 2x^2 + 2y^2 - 8x + 10y + 2 = 0
- x^2 - 4x + y^2 + 5y = -1
- x^2 - 4x + 2^2 + y^2 + 5y + (5/2)^2 = -1 + 4 + 25/4
- (x - 2)^2 + (y + 2.5)^2 = 37/4
<u>The center is:</u>
<u>And radius is:</u>
- <u />
/ 2
Answer:
x=4
Step-by-step explanation:
Blank 1: Given
Blank 2 : AD is parallel to BC
Blank 3: <3≅<2
Blank 4: Transitive property of convergence
Blank 5: Definition of Bisect
Step-by-step explanation:
We need to fill in the blanks from the given options.
Blank 1:
ABCD is a parallelogram
This is given
So, blank 1: Given
Blank 2:
A parallelogram have parallel sides i.e in the given parallelogram AD is parallel to BC and AB is parallel to DC
So, Blank 2 : AD is parallel to BC
Blank 3:
We are given <3≅<2
So, Blank 3: <3≅<2
Blank 4:
We know, <1≅<3 and <3≅<2 using transitive property (A≅B and B≅C then A≅C)
So, <1 ≅ <2 is due to transitive property of convergence
Blank 4: Transitive property of convergence
Blank 5:
DC bisects <ADE
A bisect is an line or angle that divides into exactly two parts.
So, Blank 5: Definition of Bisect
Keywords: parallelogram, bisection
Learn more about parallelogram at:
#learnwithBrainly
6 times 10^4 is your answer hope i helped
Answer:

<h3>
♁ Question : Solve for x</h3>
<h3>♁ Step - by - step explanation</h3>
Move 12x to L.H.S ( Left Hand Side ) and change it's sign
➛
Move 7 to R.H.S ( Right Hand Side) and change it's sign
➛
Subtract 12x from 15x
Remember that only coefficients of like terms can be added or subtracted.
➛
Add the numbers : 2 and 7
➛
Divide both sides by 3
➛ 
➛ 
The value of x is 
✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄
☄ Now, let's check whether the value of x is 3 or not!
<h3>
☥ Verification :</h3>




L.H.S = R.H.S ( Hence , the value of x is 3 ).
✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄
<h3>✒ Rules for solving an equation :</h3>
- If an equation contains fractions ,multiply each term by the L.C.M of denominators.
- Remove the brackets , if any.
- Collect the terms with the variable to the left hand side and constant terms to the right hand side by changing their sign ' + ' into ' - ' and ' - ' into ' + ' .
- Simplify and get the single term on each side.
- Divide each side by the coefficient of variable and then get the value of variable.
Hope I helped!
Have a wonderful time ! ツ
~TheAnimeGirl