Answer:
A general line can be represented as , y= m x + c
And general equation of circle is , ax²+by²+2 g x +2 f y +c=0
Now there are following possibilities
1. A line and circle have no common point of intersection, that is no solution.
2. A line may be a tangent to a circle, that is one common point, one solution.
3. A line may intersect a circle maximum at two points, that is 2 solution.
Image is depicted below.
84 divided into sevenths could either be:
84 x (1/7) or simply 84/7
In the end, the answer would be 12.
Answer:
1= 102°,3=78°,4=102°
5=102°,6=78°,7=78°,8=102°
Step-by-step explanation:
Answer:
Step-by-step explanation:
We'll take this step by step. The equation is
![8-3\sqrt[5]{x^3}=-7](https://tex.z-dn.net/?f=8-3%5Csqrt%5B5%5D%7Bx%5E3%7D%3D-7)
Looks like a hard mess to solve but it's actually quite simple, just do one thing at a time. First thing is to subtract 8 from both sides:
![-3\sqrt[5]{x^3}=-15](https://tex.z-dn.net/?f=-3%5Csqrt%5B5%5D%7Bx%5E3%7D%3D-15)
The goal is to isolate the term with the x in it, so that means that the -3 has to go. Divide it away on both sides:
![\sqrt[5]{x^3}=5](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%5E3%7D%3D5)
Let's rewrite that radical into exponential form:

If we are going to solve for x, we need to multiply both sides by the reciprocal of the power:

On the left, multiplying the rational exponent by its reciprocal gets rid of the power completely. On the right, let's rewrite that back in radical form to solve it easier:
![x=\sqrt[3]{5^5}](https://tex.z-dn.net/?f=x%3D%5Csqrt%5B3%5D%7B5%5E5%7D)
Let's group that radicad into groups of 3's now to make the simplifying easier:
because the cubed root of 5 cubed is just 5, so we can pull it out, leaving us with:
which is the same as:
![x=5\sqrt[3]{25}](https://tex.z-dn.net/?f=x%3D5%5Csqrt%5B3%5D%7B25%7D)
Answer:
Segment DF
Step-by-step explanation:
The corresponding vertices are in the same order in both triangles.
ABC
DEF
Segment AC is congruent to segment DF.