Answer:
Step-by-step explanation:
We can simplify the expressio using the product rule. The exponents will add up when multiplied with each other:
The answer is B
Equation of the circle:
Step-by-step explanation:
The equation of a circle is given by
where
are the coordinates of the center of the circle
r is the radius of the circle
For the circle in this problem, we know that:
(5,4) are the coordinates of the center
We also know that the circle passes through the point (-3,2), therefore we can calculate the radius as the distance between the point on the circle and the center of the circle:
Therefore, the equation of the circle is:
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First you have to find a common denominator which would be 24.
5/6 = 20/24
7/8 = 21/24
5/8 = 15/24
So your final answer would be 7 over 8.
Graph B has a slope of -3 and a y-intercept of -5, therefore, the best graph that represents the equation is: Graph B.
<h3>How to Identify the Graph of the Equation of a Line?</h3>
The equation of a line can be rewritten in slope-intercept form as, y = mx + b.
The graph that represents the equation of the line, would have a slope of m and a y-intercept of b.
Given the equation:
3x + y = -5
Rewrite in slope-intercept form:
y = -3x - 5
The slope of the graph, would be m = -3, and the y-intercept would b b = -5.
Thus, graph B has a slope of -3 and a y-intercept of -5, therefore, the best graph that represents the equation is: Graph B.
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