Answer:
here's your answer v
Step-by-step explanation:
The first number in the sequence, , is -2.
Each number after that is the previous number multiplied by -2.
etc. We start by stating that .
Now we need to show that for all n greater than or equal to 2, each number in the sequence is the previous number multiplied by -2.
this is the answer.
Answer:
a1+= -2; an = - 2a-1, n > 2
Answer:
It's actually an enlargement of the figure.
Step-by-step explanation:
Because if the figure originally was M' (-2,2), S' (4,2), V' (2, -2). And now the shape is M (-3, 3), S (6, 3), V ( 3, -3). This means that the Triangle got bigger.
The scale factor of the smaller shape inside of the bigger shape is 2 and the scale factor of the bigger shape is 3 making the bigger shape well bigger.
C. 5760
(34-2)*180
32 * 180=5,760
Now the width is w.
It's twice as long as wide, so now the length is 2w.
If the length is increased by 4 cm, the length will be 2w + 4.
The width is decreased by 3 cm, so the width will be w - 3.
The are of the new rectangle is 100 cm^2.
area = length * width
area = (2w + 4)(w - 3)
The area of the new rectangle is 100, so we get
(2w + 4)((w - 3) = 100
2w^2 - 6w + 4w - 12 = 100
2w^2 - 2w - 112 = 0
w^2 - w - 56 = 0
(w - 8)(w + 7) = 0
w - 8 = 0 or w + 7 = 0
w = 8 or w = -7
A width cannot be negative, so discard w = -7.
w = 8
The width is 8 cm.
The length is twice the width, so the length is 16 cm.
