Answer:
4
Step-by-step explanation:
The left side of the equation can be factored as the difference of squares:
(a -b)(a +b) = 105
The right side of the equation can be factored to 4 different pairs of factors:
105 = 1·105 = 3·35 = 5·21 = 7·15
For each of the factor pairs, we can match factors to get, for example, ...
a -b = 1
a +b = 105
The solution to this is a = (105 +1)/2 = 53, b = (105 -1)/2 = 52. Thus, we have ...
(a, b) = (53, 52)
For the other factor pairs, the solutions are ...
(a, b) = (19, 16), (13, 8), (11, 4)
There are a total of 4 positive integer solutions.
Answer:
The rate of change of f(x) with respect to x is 1/4
Step-by-step explanation:
What this question simply ask is to find the slope of the line that passes through the two points
to find this, we use the slope equation
we have this as;
m= (y2-y1)/(x2-x1)
(x1,y1) = ((-15,-3)
(x2,y2) = (-7,-1)
m = (-1 + 3)/(-7 + 15) = 2/8 = 1/4
Answer:
Step-by-step explanation:
Base + 4 triangles
(18.4)(27.6) + 2(½×27.7×17.6) + 2(½×18.4×20.4)
Answer:
2 5/8
Step-by-step explanation:
3*7=21
21/8=2 5/8
