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2 answers:
Answer:
Step-by-step explanation:
Given:
The system of equations given are:
If an equation is multiplied by a number throughout, then the equation remains the same by multiplication property of equality. The multiplication property of equality says that if both sides of the equation is multiplied by the same number, then the new equation is equivalent to the previous equation.
For example: If is multiplied by 2 on both sides, then the new equation will be
which is equivalent to
.
So, from among all the choices given, the first choice represents the above mentioned property. The equation is multiplied by 3 on both sides. So, the equation
is equivalent to
.
The second equation has not been changed. So, the equivalent system of equations to the given system is:
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Answer:
This question is solved in detail below. Please refer to the attachment for better understanding of an Ellipse.
Step-by-step explanation:
In this question, there is a spelling mistake. This is vertices not verticles.
So, I have attached a diagram of an ellipse in which it is clearly mentioned where are the vertices of an ellipse.
Vertices of an Ellipse: There are two axes in any ellipse, one is called major axis and other is called minor axis. Where, minor is the shorter axis and major axis is the longer one. The places or points where major axis and minor axis ends are called the vertices of an ellipse. Please refer to the attachment for further clarification.
Equations of an ellipse in its standard form:
This is the case when major axis the longer one is on the x-axis centered at an origin.
This is the case when major axis the longer one is on the y-axis centered at an origin.
where major axis length = 2a
and minor axis length = 2b
