What is the sixth term of a number pattern that begins with 185 and subtracts 15

an =a1 +d(n-1)

a1 =185

d = -15

a6 = 185 -15(6-1)

a6 = 185 -15*5

a6 = 185 -75

a6 = 110

110

Step-by-step explanation:

The nth term of an arithmetic progression is given by :-

, where a is the first term and d is the common difference .

Given : The first term of the pattern

Common difference

Now, for n=6 , we have

Hence, the sixth term of the number pattern will be 110.

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation:

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²