Answer:
length is (-7,-1) and radius is 6
Step-by-step explanation:
We are given the expression of the equation of a circle that is
x2 + y2 + 14x + 2y + 14 = 0.
Using completing the squares:
x2 + y2 + 14x + 2y + 14 = 0(x+7)^2 + (y+1) ^2 = -14 + 49 + 1(x+7)^2 + (y+1) ^2 = 36 center thus is at (-7,-1) and the radius is equal to square root of 36 equal to 6.
Vertices are formed when 2 sides come together on a polygon. So they are basically corners. The smallest amount of sides a polygon has is 3, which would be a triangle. And triangles have 3 corners, because with a triangle, each side touches the other two. So the minimum number of vertices needed to form a polygon would be 3.
(5 + x) / 6 = -1....multiply both sides by 6, cancelling out the 6 on the left side
5 + x = -1 * 6
5 + x = -6
x = -6 - 5
x = -11
The <u>diagram</u> shows you two <u>right triangles</u> JKL amd MNO with three pairs of <u>congruent </u>sides.
You can use LL, HL and SAS theorems to prove that triangles are congruent.
The right triangle leg leg congruence Theorem (LL) is a theorem for right triangles that says if the two corresponding shorter legs of two right triangles are congruent, then the two triangles are congruent.
The hypotenuse leg Theorem (HL) states that any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.
The side angle side Postulate (SAS) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.
Answer: correct choices are B, C and E