Answer:
Step-by-step explanation:
we know that
The general form of the equation of a circle is
where D, E, F are constants
step 1
Find the radius of the circle
Remember that the distance from the center to any point on the circle is equal to the radius
so
the formula to calculate the distance between two points is equal to
substitute the values
step 2
Find the equation of the circle in standard form
In this problem we have
center ( -2,1)
radius r=2 units
substitute
Step 3
Convert to general form
Find 5 percent of 10.94, which is .55.
Since it is sales tax add .55 to 10.94
You get 11.49! Hope this helps
The value of x given the perimeter of the square is 6.
<h3>What is the value of x?</h3>
The first step is to determine the perimeter of the square.
Perimeter of the square = 4 x length
4 x 2.5x = 10x yards
The perimeter of the triangle is equal to the sum of the three side lengths
2x + 4x - 2 + 2x + 14 = 10x
Combine similar terms
14 - 2 = 10x - 2x - 4x - 2x
Add similar terms
12 = 2x
Divide both sies by 2
x = 6
To learn more about triangles, please check: brainly.com/question/22949981
Answer:
1) one solution
2) Infinitely many solution
3) no solution
Step-by-step explanation:
The first equation is -14-8x=-2(-3x+7)
Let us expand the right hand side to get:
-14-8x=-2*-3x+-2*7
We multiply -14-8x=6x-14
We group similar terms to get:
-8x-6x=-14+14
Combine similar terms to get:
-14x=0
Divide through by -14 to get:
x=0
2) The second equation is 3+5x=5(x+2)-7
We expand to obtain:
3+5x=5x+5*2-7
Multiply to get:
3+5x=5x+10-7
This gives us
3+5x=5x+3
5x=5x
1=1
There is infinitely many solutions
3) The third equation is: 36-7x=-7(x-5)
We expand to get:
36-7x=-7x+35
Group similar terms;
-7x+7x=35-36
0=-1
This statement is not true so there is no solution.
Answer:
37.25
Step-by-step explanation:
6.75+7.25+8.25+7.25+7.75=37.25
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