The correct answer is $3. Please mark me brainiest. :)
Answer:
43,758 different swimmer squad
Step-by-step explanation:
Given;
Total Number of athletes n = 18
Number of athletes needed to be selected r = 8
For this case, the coach need to select 8 players from a total of 18 athletes with no particular order. So, this is a combination case since the order of selection is not relevant.
The number of different swimmer squads the coach could select is;
S = nCr
nCr = n!/(r!×(n-r)!)
Substituting the values of n and r;
S = 18C8
S = 18!÷(8! × (18-8)!)
S = 18! ÷ (8!×10!)
S = 43,758
Therefore, he can select 43,758 possible different squads
Given:
The equation of a circle is
A tangent line l to the circle touches the circle at point P(12,5).
To find:
The gradient of the line l.
Solution:
Slope formula: If a line passes through two points, then the slope of the line is
Endpoints of the radius are O(0,0) and P(12,5). So, the slope of radius is
We know that, the radius of a circle is always perpendicular to the tangent at the point of tangency.
Product of slopes of two perpendicular lines is always -1.
Let the slope of tangent line l is m. Then, the product of slopes of line l and radius is -1.
Therefore, the gradient or slope of the tangent line l is 
.
Answer:
C
Step-by-step explanation:
x²+2x-15 = x²-3x+5x-15 = x(x-3)+5(x-3)=(x+5)(x-3)
or delta:
∆=2²-4*1*(-15)=4+60=64
√∆=8
x1 = (-2+8)/2 = 3
x2=(-2-8)/2=-5
and 4x+20 = 4(x+5)
The same is (x+5), so it is GCF. answer C
