Answer:
See explanation
Step-by-step explanation:
The given absolute value is

When we simplify this we get:

Any absolute value expression whose value is less than 0.14 is a solution.
For instance :



are all less than the 0.14
Since you haven't provided the options, we can't provide an exact answer.
Please remember to post a complete question next time.
Answer:
Ratios describe proportions. We can always multiply across ratios, or divide across them (as long as we do it to all of them). For example, the ratio 3 : 2 is the same as 6 : 4 and 300 : 200. Accuracy Tip.
Step-by-step explanation:
Hello!
The correct answer is A translation 3 units up then a reflection across the x-axis.
Translation: moving/sliding a figure
Reflection: taking a figure and flipping it over a line.
Answer:

Step-by-step explanation:
Consider a sketch of the problem as shown in the picture, where:
- Blue line is given by y = 4x + 1.
- Point B is the center of the circle.
- Point A is (-3, 0).
Since the center of the circle lies on the line y = 4x +1 and is tangent to the x-axis at point A, then its radius BA is perpendicular to the x-axis. To find the coordinates of point B, we must replace x = -3 into the blue line equation: y = 4x(-3) + 1 = -11.
So, we know that the center of the circle is at B=(-3, -11). And furthermore, the radius BA is of length r=11.
Since the <em>general equation of the circle</em> of radius lenght r centered at (h, k) is given by

then with h = -3, k = -11 and r= 11, the equation of our circle is
