The coordinates of the midpoint of AB is (4.5, -1.5)
We can find this by taking the average of each coordinate. The average of the x's (2 and 7) is 4.5, while the average of the y's (-4 and 1) is -1.5.
The coordinates of the midpoint of CD is (-5.5, 1)
We can find this by taking the average of the coordinates as we did in the first one. The average of the x's (-3 and -8) is -5.5, while the average of the y's (-2 and 4) is 1.
Answer:
B
Step-by-step explanation:
Cos(0)=1
since the diagram shows x as (1,0)
Try this option, modify design according to local requirements.
Step-by-step explanation:
For example, 1/2 and 2/4 are equivalent fractions. If you simplify 2/4 by dividing both the numerator and denominator by 2, you'll get 1/2, the same as the other one. Remember, our number line is a line with evenly spaced tick marks that show us our numbers.
Answer:
C
Step-by-step explanation:
In general for arithmetic sequences, recursive formulas are of the form
aₙ = aₙ₋₁ + d,
and the explicit formula (like tₙ in your problem), are of the form
aₙ = a₁ + (n - 1)d,
where d is the common difference. So converting between the two of these isn't so bad. In this case, your problem wants you to have an idea of what t₁ is (well, every answer says it's -5, so there you are) and what tₙ₊₁ is. Using the formulas above and your given tₙ = -5 + (n - 1)78, we can see that the common difference is 78, so no matter what we get ourselves into, the constant being added on at the end should be 78. That automatically throws out answer choice D.
But to narrow it down between the rest of them, you want to use the general form for the recursive formula and substitute (n + 1) for every instance of n. This will let you find tₙ₊₁ to match the requirements of your answer choices. So
tₙ₊₁ = t₍ₙ₊₁₎₋₁ + d ... Simplify the subscript
tₙ₊₁ = tₙ + d
Therefore, your formula for tₙ₊₁ = tₙ + 78, which is answer choice C.
