center(8,4):
<span>The center of a circle is a point from which all points on a circle are the same distance.
radius7:
</span><span>The radius of a circle is the length of a line segment from its </span>center<span> to its </span>perimeter.
<span>The radius is typically denoted as "r" or "R".
diameter14:
</span><span>The diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. It can also be defined as the longest chord of the circle.
</span>Circumference or (or Permieter):
= 2*π*R = 2*3.14*7 = 43.9822971502571
<span>The circumference of a circle is the distance around it.
</span>Area:153.9380400259
<span>Area of a Circle is the amount of space occupied by the circle.The area of a circle is p times the radius squared, which is written: A = </span>π*R2<span>.
</span>The standard form for the equation oif a circle is
(x-a)2+(y-b)2=r2
And in our particular case:
(x-8)2+(y-4)2=72
(x-8)2+(y-4)2<span>=49
</span>
The general form for the equation of a circle is
x2<span> + y</span>2<span> + Ax + By + c = 0</span>
We can get the general form by expanding the equation of the standard form
(x-a)2+(y-b)2=r2
(x-8)2+(y-4)2=72
(x-8)2+(y-4)2=49
x2-16x+64+y2-8y+16=49
x2+y2<span>-16x-8y+31=0</span>
Answer:
It will take 5 weeks for you and your friend to have the same balance
Step-by-step explanation:
Let
Your savings expression be
135 + 12x
Your friends savings expression
95 + 20x
Where,
x = number of weeks for you and your friend to have the same balance
Equate the two expressions
135 + 12x = 95 + 20x
Collect like terms
135 - 95 = 20x - 12x
40 = 8x
Divide both sides by 8
40/8 = x
x = 40/8
= 5
x= 5 weeks
Check
Your savings expression
135 + 12x
135 + 12(5)
=135 + 60
= $195
Your friends savings expression
95 + 20x
95 + 20(5)
= 95 + 100
= $195
Therefore, It will take 5 weeks for you and your friend to have the same balance
9p+8=10p+7 solve for p
p = 1
So answer is true
B. True; the expressions are the same for all values of the variables