24 is not a prime factor, so it cannot be the be the prime factorization of a number
Answer:
<h2>x = -8</h2><h2>y = 10</h2>
Step-by-step explanation:
Theoretically speaking, both equations need to equal 0.
Let's start with (x + 8)
x + 8 = 0
x = 0 - 8
x = -8
Then, let's go to (y - 10)
y - 10 = 0
y = 10 = 0
y = 10
So, x = -8 & y = 10
Hope that helps!
Answer:
120
Step-by-step explanation:
Answer:
Part a) minor arc: XY; major arc: XVY
Part b) 
Part c) The tangent line is UV and the secant line is XY
Part d)
or 
Step-by-step explanation:
Part a) we know that
The major arc is the larger arc joining two points on the circumference of a circle. Is an arc larger than a semicircle.
The sum of major and minor arcs is the whole circle, 360°
In this problem, possible major arcs are
VYX, VXY, XVY
and the corresponding minor arcs are
VX, VY, XY
Part b) we know that
The sum of major and minor arcs is the whole circle, 360°
so
Let
x------> measure minor arc
y-------> measure of major arc

we have

substitute


Part c) we know that
A tangent line intersects a circle at exactly one point.
In this problem
The tangent line is UV
A secant line intersects a circle in two points.
In this problem
The secant line is XY
Part d) we know that
The <u>Intersecting Secant Theorem</u> States: When two secant lines intersect each other outside a circle, the products of their segments are equal
so




Simplify
or 
Answer:
Area of circle = 50.24 units
Option J is correct answer.
Step-by-step explanation:
We need to find the area of a circle with centre (2, 3) that passes through (2,7)
The formula used to find area of circle is:

We need to find radius.
The radius can be found using the distance between points (2,3) and (2,7)
The The distance formula is: 
Putting values and finding length
We have: 
Putting values and finding distance

So, we found Distance = 4
Therefore, the radius of circle is 4
Now, finding area:

So, Area of circle = 50.24 units
Option J is correct answer.