Y=-2x+0 reason: rise over run as you can see in the graph -2 rise (drop) and -1 run and b=0 y intercept
In this item, we are to calculated for the 6th term of the geometric sequence given the initial value and the common ratio. This can be calculated through the equation,
An = (A₀)(r)ⁿ ⁻ ¹
where An is the nth term, A₀ is the first term (in this item is referred to as t₀), r is the common ratio, and n is the number of terms.
Substitute the known values to the equation,
An = (5)(-1/2)⁶ ⁻ ¹
An = -5/32
Hence, the answer to this item is the third choice, -5/32.
I'm sure that the hypotenuse is 13 yards
Here's the formula used:
Length of Hypotenuse² = Length of side 1² + Length of side 2²
So here's how to solve this question:
12 squared + 5 squared = hypotenuse
(Then square the values)
144 + 25 = 169
Divide 169 by the square root to get the length of the hypotenuse: 13
Hope this helps!
Answer:
(A)
Step-by-step explanation:
Let y be the length of the rectangular backyard and then according to the question, y should be atleast 150 ft, then the possible inequality is:

and the distance around should be no more than 450ft, then the possible inequality is:

Then, the shaded region (green) is the possible dimensions of the backyard.