Answer:
7. (4x +10)/(x^3 +3x^2 -16x -48)
9. -320/93
Step-by-step explanation:
7. As with adding any fractions, first you find a common denominator. When the fractions are rational expressions, it often helps to factor the denominators.
6/(x^2 -16) -2/(x^2 -x -12) = 6/((x -4)(x +4)) -2/((x -4)(x +3))
= (6(x +3) -2(x +4))/((x -4)(x +3)(x +4)) . . . . . using a common denominator
= (6x +18 -2x -8)/((x -4)(x +3)(x +4))
= (4x +10)/((x^2 -16)(x +3))
= (4x +10)/(x^3 +3x^2 -16x -48)
_____
9. First you simplify the denominator:
2/25 -5/16 = (2·16 -5·25)/(25·16) = -93/400
Then you perform the division. This can be done by multiplying by the inverse of the denominator.
(4/5)/(2/5 -5/16) = (4/5)·(-400/93) = -320/93
Answer: Option (B) is the correct answer.
Step-by-step explanation:
A point at which three altitudes of a triangle meet is known as orthocenter.
Whereas when a circle is inscribed in a triangle and it touches all the sides of a triangle then the center of circle is known as incenter.
When all the three medians of a triangle intersect each other then the point is known as centroid.
Circumcenter is a point where perpendicular bisectors on each side of a triangle bisect and this point is equidistant from all the vertices.
The answer is b. Hope this was helpful
Answer:
7.5/5 = 1.5
6/1.5 = 4
X = 4
I'm pretty sure it's right
Answer:
17.75 miles per hour
Step-by-step explanation:
14.2 divided by 0.8
