Answer:
<em>one</em><em> </em><em>solution</em><em> </em>
<em>no</em><em> </em><em>solution</em><em> </em>
<em>infinity</em><em> </em><em>solutions</em><em> </em>
Step-by-step explanation:
A: If the graphs of the equations intersect, then there is one solution that is true for both equations.
B; If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.
C; If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations
The correct answer is option A which is the distance between A and D will be AD =
.
<h3>What is coordinate geometry?</h3>
A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.
The formula utilised to find the distance between two points is;-
X = 
We have the coordinates of the point A = (0, 0) and D is (0, b).By applying the formula to find the distance between A and D.
AD =
.
Therefore the correct answer is option A which is the distance between A and D will be AD =
.
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Answer:
The triangle is not acute because 2² + 4² < 5².
Step-by-step explanation:
7) Certainly there is a typo in the statement, just see that the expression of item (ii) is different from that of item (i). Probably the correct expression is:

. With this consideration, we can continue.
(i) Let E the expression that we are analyzing:

Since (x-1)² is a perfect square, it is a positive number. So, E is a result of a sum of two positive numbers, 2(x-1)² and 3. Hence, E is a positive number, too.
(ii) Manipulating the expression:

So, it's the case when E=0. However, E is always a positive number. Then, there is no real number x that satisfies the expression.
8) Let E the expression that we want to calculate:

Multiplying by (2-1) in the both sides:

Repeating the process, we obtain: