Answer: -842
Step-by-step explanation:
To find n95, we have to use the equation aₙ = d * n + a₁ - d
a₁ is the first term, which here is 4. d is the common difference, which we can find out but seeing what we can add pr subtract from 4 to -5 which also equals -5 to -14, in this equation, the common difference would be -9 as it goes down by 9 every term. Once we plug these into the equation, we get
a₉₅ = -9 * n + 4 - (-9)
We can solve this for - aₙ = -9n + 13
Now that we have our equation to find a term, we can plug in n for 95 for
-9(95) + 13
Which equals -842
Hope this help
a ) -3 , -1
b ) -4 , -3
c ) - 2 , -3
9514 1404 393
Answer:
(1.43, 1.87)
Step-by-step explanation:
The formula for the incenter requires we know the lengths of the sides of the triangle. These are found using the distance formula.
BC = √((4-3)^2 +(5+1)^2) = √37
AC = √((-4-3)^2 +(2+1)^2) = √58
AB = √((-4-4)^2 +(2-5)^2) = √73
Then the incenter is ...
(A(BC) +B(AC) +C(AB))/(BC +AC +AB)
≈ (6.08276(-4, 2) +7.61577(4, 5) +8.54400(3, -1))/22.2425
≈ (1.42808, 1.87480)
Rounded to hundredths, the incenter is (1.43, 1.87).
Answer:
Percent increase = 25%
Step-by-step explanation:
Given that:
Old price of shoes = $65
New price of shoes = $81
Difference = 81 - 65
Difference = 16
Percent increase =
Percent increase =
Percent increase = 0.246 * 100
Percent increase = 24.6%
Rounding off to nearest whole number
Increase = 25%
Hence,
Percent increase = 25%