Convert the equation r equals negative 14 cosine thetar=−14cosθ to cartesian coordinates. describe the resulting curve.

Multiply the equation by r to get

... r² = -14·r·cos(θ)

Then make the usual substitutions:

x² +y² = r²

x = r·cos(θ)

This gives

... x² +y² = -14x

... x² +14x +49 +y² = 49 . . . . . add 49+14x

... (x +7)² + y² = 49 . . . . . . . . . equation of circle of radius 7 with center (-7, 0)

C. 40,320 just did the math right now

38+105= 143, 39+104=143, and you will find then adding the numbers on opposite sides, moving inwards yields the answer 138 every time. because of this, you’re going to multiply 138 times the number of pairs, which is 34. therefore, 34*138= 4692(i’m sorry if it’s the wrong numbers, but it’s the right concept)