Answer:
3
Step-by-step explanation:
Use the formula:
The slope equation using the equation of line is given as, y = mx + b, here, m is the slope and b is the y-intercept.
choose any 2 rows and plot them into the formula.
(-2)-1/(-2)-(-1) = 3
Step-by-step explanation:
9. log(2)=a, log(3)=b, then log(36)=______
log(36) = log(6*6) = log(6) + log(6)
log(36)= log(6) + log(6)
log(36) = log(3*2) + log(3*2)
log(36) = (log(3) + log(2)) + (log(3) + log(2))
log(36) = (a + b) + (b + a)
log(36) = a + b + b + a
log(36) = 2a + 2b
Answers:
- Sum of the interior angles = 4320
- One interior angle = 166.15
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Work Shown:
n = number of sides = 26
S = sum of the interior angles of a polygon with n sides
S = 180(n-2)
S = 180(26-2)
S = 180(24)
S = 4320 degrees is the sum of the interior angles.
i = measure of one interior angle of a regular polygon
i = S/n
i = 4320/26
i = 166.1538 approximately
i = 166.15 degrees is the approximate measure of each interior angle.
Side note: The formula to determine the interior angle i only works for regular polygons. This is because each angle is the same measure.
Answer:
a) The revenues in 2006 were of 2.24 billion dollars.
b) The revenues increased 138.3 million dollars in 2006.
Step-by-step explanation:
We have the following expression to model the revenues in t years after 2000.
The revenue is calculated in millions of dollars.
(a) Use this model to estimate the revenues in 2006.
2006 is 6 years after 2006.
So this is R(6)
The revenues in 2006 were 2241.54 millions of dollars, or 2.24 billion dollars.
(b) At what rate were the revenues changing in 2006?
The rate is the derivative. So this is R'(6).
The revenues increased 138.3 million dollars in 2006.
Answer:
Option A is correct, i.e. x = -3, x = 7.
Step-by-step explanation:
Given the equation is x² -4x -21 = 0.
We can compare it with general quadratic equation i.e. ax² +bx +c =0.
then a = 1, b = -4, c = -21.
We can use Quadratic formula as follows:-
x = ( -b ± √(b²-4ac) )/2a
x = ( +4 ± √(16-4*1*-21) )/2*1
x = ( +4 ± √(16+84) )/2
x = ( +4 ± √(100) )/2
x = ( +4 ± 10 )/2
x = (4+10)/2 or x = (4-10)/2
x = 14/2 or x = -6/2
x = 7 or x = -3
Hence, option A is correct, i.e. x = -3, x = 7.