So its a straight line up and then straight line horizontal. Then a line down. Finally a line that goes up.
Answer:
C
Step-by-step explanation:
Plug in -3 for x: y = -(-3)²+3 = -9+3 = -6 (-3,-6)
plug in 0 for x: y = =(0)² + 3 = 3 (0,3)
plug in 3 for x: y = -(3)² + 3 = -9+3 = -3 (3, -6)
Answer:
The area of the rectangle is 40 and the area is the triangle is 20 therefore, the area of the shape is 60
Step-by-step explanation:
Rectangle:
8cm x 5cm = 40cm
Triangle <em>(</em><em>1</em><em>/</em><em>2bxh</em><em>)</em>
The base of the triangle would be 8 cm as the top and the bottom of the rectangle is the same width. The height was given to be 5 cm (<em>note the height is the dotted line</em>) Therefore the area of the triangle is half the base which is (8×1/2 = 4) times the height (5); which is 20.
Answer (2 answers):
x = -2/5, x = -14/5
Step-by-step explanation:
First step is to try and get the absolute value by itself on one side and everything else that's not inside the absolute value on the other side.
9|5x+8|=54
|5x+8| = 54/9
|5x+8| = 6
Remember how absolute values turn everything positive? For example
|-4|=4, but |4|=4 as well. So we must do the same to our problem by splitting up the absolute equation into two parts.
|5x+8| = 6 and |-(5x+8)| = 6
now solve the first equation.
(Just remove the absolute value sign and solve it normally)
5x+8 = 6
5x = -2
x = -2/5
Now solve the other equation
-(5x+8) = 6
-5x - 8 = 6
-5x = 14
x = -14/5
