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SOVA2 [1]
3 years ago
5

What is the vertex of the graph of g(x)=|x-3|-3

Mathematics
1 answer:
Sedbober [7]3 years ago
3 0

Answer:

(3, -3)

Step-by-step explanation:

The vertex of the most general absolute value function is y = |x|, whose vertex is at (0, 0).   Focusing on the " |x - 3| " tells us that the graph of y = |x| is moved 3 units to the right.  Next, focusing on the " -3 " as it tells us that the resulting graph is shifted 3 units down.  Thus, the vertex of g(x)=|x-3|-3 is at (3, -3).

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Work out angle x please!!
oksian1 [2.3K]

Answer:

x = 80°

Step-by-step explanation:

The full angle of the straight line is 180°. We already have 100°, so we need to find out what is left over for x

180 - 100 = 80

So the angle of x is 80°

7 0
2 years ago
What is a positive angle less than 360 degrees that is conterminal with -289 degrees
wel

Answer:

The positive angle that less than 360° and is conterminal with -289° is 71°

Step-by-step explanation:

  • When a terminal of an angle moves anticlockwise, then it makes a positive angle with the positive part of the x-axis
  • When a terminal of an angle moves clockwise, then it makes a negative angle with the positive part of the x-axis
  • To find the positive angle which has the same terminal of a negative angle add the measure of the negative angle by 360°

Let us solve the question

∵ The measure of the angle is -289°

→ Add its measure by 360° to find the positive angle that is conterminal

   with it

∵ The measure of the positive angle = -289° + 360°

∴ The measure of the positive angle = 71°

The positive angle that less than 360° and is conterminal with -289° is 71°

4 0
3 years ago
Simplify (6ab3c)(-abc2).
sp2606 [1]
Sorry, I know it's a little late.The answer is -6a^2 b^4 c^3
4 0
3 years ago
There are 81 athletes who joined a parade. Four-ninths of them are basketball players. How many basketball players joined the pa
lozanna [386]

Answer:

36

Step-by-step explanation:

81 x (4/9) =

36

5 0
2 years ago
How many solutions does the following equation have? <br><br>-6(x+7) = -4x -2​
Fed [463]
Solve for x first
-6x - 42 = -4x -2
-6x = -4x + 40
- 2x = 40
X = -20
The equation has one solution
3 0
2 years ago
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