Answer:
a) 24
b) 12
Step-by-step explanation:
a) For the 4 letters of the word ROCK
Selecting any first letter, we have 4 options
for the second, we have 3 options
for the third we have 2 options
for the fourth, we have only one option
So the number of ways will be ;
4 * 3 * 2 * 1 = 24 ways
b) 2 out of 4
For the first letter, we have 4 options, for the second, we have 3 options
so the number of options is 4 * 3 = 12 options
Answer:
and 
Step-by-step explanation:
The equation of curve is
We need to find the equation of the tangent line to the curve at the point (-3, 1).
Differentiate with respect to x.
![2[2(x^2+y^2)\frac{d}{dx}(x^2+y^2)]=25(2x-2y\frac{dy}{dx})](https://tex.z-dn.net/?f=2%5B2%28x%5E2%2By%5E2%29%5Cfrac%7Bd%7D%7Bdx%7D%28x%5E2%2By%5E2%29%5D%3D25%282x-2y%5Cfrac%7Bdy%7D%7Bdx%7D%29)
The point of tangency is (-3,1). It means the slope of tangent is 
.
Substitute x=-3 and y=1 in the above equation.
Divide both sides by 130.
If a line passes through a points 
with slope m, then the point slope form of the line is
The slope of tangent line is 
and it passes through the point (-3,1). So, the equation of tangent is
Add 1 on both sides.
Therefore, and .
A)
Because the sum of angles in a triangle must equal 180° we can say:
62+α+90=180
α+152=180
α=28°
b)
Since all sides have equal length, all angles must have equal measure. (This is an equilateral triangle). And again, because the sum of the angle must be 180° we can say:
b+b+b=180
3b=180
b=60°
Answer:
75
Step-by-step explanation:
The mode is the number that appears most often. Because 75 appears twice and the other numbers only appear once, it is the most used number.
0.9030 > 0.8736
0.9 > 0.8
so your first option is correct
