Answer:
11 1/9
Step-by-step explanation:
3 1/3 x 3 1/3
= 10/3 x 10/3
= 100/9
= 11 1/9
Answer:
7. x = 3
Step-by-step explanation:
To find the value of x, use the triangle sum property. Every triangle has interior angles which add to 180 degrees. To solve, add the expressions and numbers together then set equal to 180. Then use inverse operations to solve for x.
7. 20x - 9 + 10x + 9 + 90 = 180 Subtract 90 from both sides.
20x - 9 + 10x + 9 = 90 Add -9 + 9 = 0
20x + 10x = 90 Add like terms 20x + 10x = 30x
30x = 90 Divide both sides by 30.
x = 3
Repeat this process for each problem.
Answer:
going from left to right: 200, 400, 800
Step-by-step explanation:
25 x 2 = 50
50 x 2 = 100
100 x 2 = 200
200 x 2 = 400
400 x 2 = 800
just follow the pattern
Answer:
4.0148 rounded to the nearest thousand is 0, but if you meant rounded to the nearest thousandth, it would be 4.015 because the 8 in the ten thousandth column would cause the 4 in the thousandth column to round up to 5.
Step-by-step explanation:
So the easiest method to find the vertex (the minimum in this case) to do this is to find the axis of symmetry, then plug it into the function.
Firstly, the equation to find the axis of symmetry is 
, with b = x coefficient and a = x^2 coefficient. The equation equation can be solved as such:
Since the vertex falls on the axis of symmetry, we know that the x-coordinate of the vertex is -2.5. Now to solve for the y-coordinate, plug in x with -2.5 and solve as such:
Now putting it all together, our minimum value (vertex) is (-2.5,-12.25).
