10 points!

the perimeter of a quadrilateral is 65. given that one side is 9 and that the other three sides are in the ratio 1: 2: 4, find the length of the shortest side.

8

Step-by-step explanation:

The perimeter is adding all 4 sides

We know one side is 9

The other three sides are in the ratio

1:2:4

Multiply by x to give the side lengths

x, 2x, 4x

The Perimeter is

9+ x+2x+4x=65

9+7x=65

Subtract 9 from each side

9-9 +7x =65-9

7x = 56

7x/7 = 56/7

x=8

The shortest side is 8

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

i would say c is the best answer, hope it's right!

good luck! =)

cutie~