<span>The next number should be 4. If you look at every other number, even and odd alternate. 2 is even, 7 is odd, etc. Since 9 is odd, the next number should be even. To figure out what number specifically, you will want to break up the numbers into three columns. 2 3 __
7 12 17
8 9 10 From here, you can see that the pattern will be adding 1 for the top row, 5 for the middle row, and 1 for the bottom row. Since the unknown number is on the top right of the first row, you will add 1 to 3, and the answer is 4.</span>
Answer:
y = 3x - 14
Step-by-step explanation:
Perpendicular lines will have a opposite reciprocal slope, so the slope will be 3.
Plug in the slope and given point into y = mx + b, then solve for b:
y = mx + b
4 = 3(6) + b
4 = 18 + b
-14 = b
Plug in the slope and y intercept into y = mx + b
y = 3x - 14
So, the equation of the line is y = 3x - 14
The answer is 42.
The question is asking for angle N. We know from the question that angle N is equal to angle E (Don't think about the scale factor because it only applies to the sides. They're just trying to trick you).
To find angle E:

Move numbers to the right side:

Combine like terms:

Divide both sides by 13:

The formula for angle E:

Plug in the 8:

The angle measure of E is 42. So angle N is automatically 42 too.
To solidify, we can try to use the formula which they give us for angle N:
Answer:
3, in both a), b)
Step-by-step explanation:
a) The slope of the line tangent to the curve that passes through the point (2,-10) is equal to the derivative of p at x=2.
Using differentiation rules (power rule and sum rule), the derivative of p(x) for any x is
. In particular, the value we are looking for is
.
If you would like to compute the equation of the tangent line, we can use the point-slope equation to get 
b) The instantaneus rate of change is also equal to the derivative of P at the point x=2, that is, P'(2). This is equal to
.
Interest is equal to rs 72
Simple Interest is computed by multiplying the principal to the interest rate and the time.
I = P * r * t
Principal = rs 400
Interest rate = 6%
Term / time = 3 yrs
I = 400 * 6% * 3
I = 72 the total interest that must be paid in 3 yrs.