Let the second side be equal to x
Then the first side is x-5
The third side will be x-5-2 = x-7
Therefore you add all the following sides and equate it to 42 yards. Ie x+x+5+x-7 = 42
3x=44
X= 44/3
Therefore the second sides length is 44/3
The first sides length is 44/3 -5 = 29/3
The third side is 44/3 -7 = 23/3
Type in complementary angle calculator
Answer:
A. (3,1)
B. g(x)=|x-3|+6
C. h(x)=-|x-3|-6
Step-by-step explanation:
A. To graph the absolute value function f(x) = |x - 3| + 1, first graph the parent absolute value function y=|x| and then translate it 3 units to the right and 1 unit up (see green graph in attached diagram). The vertex of the function f(x) is at point (3,1).
B. The function g(x) translates f(x) 5 units up, so its equation is
g(x)=f(x)+5
g(x)=|x-3|+1+5
g(x)=|x-3|+6
Blue graph in attached diagram.
C. The function h(x) reflects g(x) over the x-axis, so the equation of the function h(x) is
h(x)=-g(x)
h(x)=-(|x-3|+6)
h(x)=-|x-3|-6
Red graph in attached diagram.
Answer:
Step-by-step explanation:
Following changes will be there when the figure is transformed by the given rules.
1). Rule for transformation has been given as,
(x, y) → (x, -y)
Reflection across x axis.
2). (x, y) → (-x, -y)
Rotation of 180° about the origin.
3). (x, y) → (x - 4, y)
Shifted 4 units left horizontally.
4). (x, y) → (x, y + 3)
Shifted vertically up by 3 units
5). (x, y) → (x - 1, y + 4)
Shifted 1 units left horizontally and 4 units up vertically.
6). (x, y) → (4x, 4y)
Dilated by 4 units.
