Answer:
D. 
Step-by-step explanation:
we are given

Firstly, it is reflected over x-axis
we know that for reflection about x-axis , we can replace y as -y
we get


now, it is vertical shift up by 4 units
so, we can add 4 to y-value
we get


Answer:
Simplifying
(2j + 1) * 9 + -7j = 0
Reorder the terms:
(1 + 2j) * 9 + -7j = 0
Reorder the terms for easier multiplication:
9(1 + 2j) + -7j = 0
(1 * 9 + 2j * 9) + -7j = 0
(9 + 18j) + -7j = 0
Combine like terms: 18j + -7j = 11j
9 + 11j = 0
Solving
9 + 11j = 0
Solving for variable 'j'.
Move all terms containing j to the left, all other terms to the right.
Add '-9' to each side of the equation.
9 + -9 + 11j = 0 + -9
Combine like terms: 9 + -9 = 0
0 + 11j = 0 + -9
11j = 0 + -9
Combine like terms: 0 + -9 = -9
11j = -9
Divide each side by '11'.
j = -0.8181818182
Simplifying
j = -0.8181818182
Answer:
(0, 7.5)
Step-by-step explanation:
Compare the equation to the standard-form equation of a circle:
(x -h)^2 +(y -k)^2 = r^2 . . . . . . . center at (h, k); radius r
You will notice that ...
h = 0
k = 7.5
The center is (h, k) = (0, 7.5).
T he x and y intercepts of the equation:
are : y-intercept is (0,-5) and x-intercept is (4,0)
So, Option D is correct.
Step-by-step explanation:
we need to identify the x and y intercepts of the equation: 
Finding x-intercept
For finding x-intercept put y=0
We are given the equation:

Solving:

So, x-intercept is (4,0)
Finding y-intercept
For finding y-intercept put x=0
We are given the equation:

Solving:

So, y-intercept is (0,-5)
the x and y intercepts of the equation:
are :y-intercept is (0,-5) and x-intercept is (4,0)
So, Option D is correct.
Keywords: x and y intercepts
Learn more about x and y intercepts at:
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