Answer:
Option 2) 82°
Step-by-step explanation:
The dilation means the enlargement of the figure or reduction in the size of the figure.
If the scale factor is greater than 1, its an enlargement
If the scale factor is smaller than 1, it is a reduction.
But what ever be the case,
the triangles always remain similar.
Hence the size of the sides changes,
But the size of the angles always remains the same.
Now the largest angle of triangle ABC is 82°.
Hence the largest angle of the triangle DEF shall be 82°.
Second option 82° is the right answer.
Answer:
$118,245
Step-by-step explanation:
So we just subtract everything ffrom 824,000 to find the net income
When you subtract everything you should get 118,245
To simplify this all you need to do is distribute the 4x across each term in the parenthesis
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
Answer:
- The slope is 1/2
- The equation that represents this function is x -2y = 2
Step-by-step explanation:
<em>Intercepts</em>
The table shows the x-intercept to be (2, 0), and the y-intercept to be (0, -1). These are not matched by any of the answer choices.
<em>Slope</em>
The slope is ...
slope = (change in y)/(change in x) = (0 -(-1))/(2 -0) = 1/2
<em>Equation</em>
You can choose the equation by seeing if it works for a couple of points. You know the last equation is incorrect, because that slope-intercept form has the y-intercept as +1, not -1.
