Answer:
43rd term
Step-by-step explanation:
Arithmetic sequences are basically linear functions, so the same value is added every time. So, knowing that Asub1 is equal to one, and Asubn is equal to 169 we can take 169-1 and divide by our common difference. This is four as 5-1=4 and 9-5=4.
So, (169-1)/4=42.
This is however 42 terms after Asub1, so this would be the 43rd teen of the sequence!
Answer:
Step-by-step explanation:
complementary angles, when added, equal 90 degrees
so if 1 angle is x, then the other angle, its complement, is 90 - x.
x - 18 = 90 - x
x + x = 90 + 18
2x = 108
x = 108/2
x = 54
90 - x = 90 - 54 = 36
so one angle is 54 and its compliment is 36
Answer:
b. (2, 5, 3)
Step-by-step explanation:
Trying the offered choices seems the fastest way to find the answer. The second choice works in all equations, hence is the solution.
Another strategy you can use is to see if the equations are dependent. Here, it looks like adding twice the third equation to the other two eliminates at least the x- and y-variables. If that eliminates z, then there are infinite solutions. Instead, it gives the equation ...
7z = 21
z = 3 . . . . . divide by 7
This answer is consistent with choice B, confirming that answer and eliminating the other choices.
To find the area of a circle use the equation
A = πr^2
Answer:B is the correct option.
Step-by-step explanation:
Looking at the equation representing the first cut,
y = - x/3 + 6
The graph is a straight line graph. The equation for a straight line graph can be represented in the slope intercept form,
y = mx + c
Where
m represents the slope ( change in y / change in x)
c represents the intercept.
Looking at the given equation, the slope is - 1/3
If two lines are parallel, it means that they have equal slope. Since the line of the second cut must be parallel to the line of the first cut, the slope of the line of the second cut will be - 1/3
To find the the intercept of the equation of the line of the second cut, we will substitute
x = - 1/3, y = - 2 and x = 0 into y = - 2 into y = mx + c. It becomes
-2 = - 1/3 × 0 + c
c = - 2
The equation becomes
y = -x/3 - 2
