Write a recursive formula for the sequence -1,-2,-3,-4...

Mathematics

1 answer:

myrzilka [38]2 years ago

7 0

Answer:

f(1) = -1

f(n) = f(n-1) -1

Step-by-step explanation:

The first term is -1. Each term is 1 less than the previous. These equations say that.

f(1) = -1

f(n) = f(n-1) -1

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Please help me in answers 6 and 8

Ivenika [448]

For #6

x + y = -10
x - y = 2

First solve for y in one of the equations

x - y = 2
-y = 2 - x
y = -2 + x
y = x - 2

Now substitute into one of the equations and solve for x

x + y = -10
x + x - 2 = -10
2x - 2 = -10
2x = -8
x = -4

3 0

2 years ago

Find the permeter of a quadrilateral with vertices at C (2,4), D(1,1), E(5,0), and F(3,4). Round your answer to the nearest hund

denpristay [2]

Answer:

12.76

Step-by-step explanation:

This is much easier to solve if you draw it out on a graph. The perimeter is the sum of all the sides. I used the Pythagorean theorem to find the hypotenuse.

${a}^{2} + {b}^{2} = {c}^{2} \\ c = \sqrt{ {a}^{2} + {b}^{2} }$

$dc = \sqrt{ {3}^{2} + {1}^{2} } = \sqrt{10} \\ cf = 1 \\ fe = \sqrt{ {4}^{2} + {2}^{2} } = \sqrt{20} \\ de = \sqrt{ {1}^{2} + {4}^{2} } = \sqrt{17} \\ \sqrt{10} + 1 + \sqrt{20} + \sqrt{17} = 12.76$