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In triangle cases, one solution occurs in the "SSA" (Side-Side-Angle) scenario when the given side opposite the angle is longer than the other given side. Two solutions arise in the same SSA case when the angle is acute and the opposite side is shorter than the other given side, allowing for two possible triangles. Zero solutions occur in SSA when the side opposite the angle is shorter than the height from the other given side, making it impossible to form a triangle.
What else can I help you with?
How many solutions are possible in a triangle of type SSA?
In a triangle with two sides and a non-included angle known (SSA), the number of possible solutions can vary. There can be zero, one, or two possible triangles depending on the specific measurements. If the angle is acute and the opposite side is shorter than the adjacent side, there could be two solutions. If the opposite side is equal to or longer than the adjacent side, there may be one solution, or none if the conditions do not allow for a triangle to be formed.
When checking solutions if a solution makes the denominator zero it is called what?
It may be called a singularity.
How many solutions can two nonlinear equations have?
Two nonlinear equations can have zero, one, or multiple solutions, depending on their specific forms and how they intersect in the coordinate system. In some cases, they may intersect at discrete points, while in others, they might not intersect at all. Additionally, there can be scenarios where the equations are tangent to each other, resulting in a single solution. The nature of the solutions is influenced by the shapes of the curves represented by the equations.
What happens when a linear system of equations equals zero?
When a linear system of equations equals zero, it typically means that the solution set consists of the trivial solution, where all variables are equal to zero, especially in homogeneous systems. This implies that the equations are consistent and have at least one solution. In some cases, if the system is dependent, there may be infinitely many solutions, but they will still satisfy the condition of equating to zero. Overall, the system describes a relationship among the variables that holds true under certain constraints.
Which may fall outside a triangle?
A point outside the triangle may.
When checking solutions if a solution makes the denominator zero it is called what?
It may be called a singularity.
How much motor activity can be reduced in cases of catatonic stupor?
In catatonic stupor, motor activity may be reduced to zero.
What happens when a linear system of equations equals zero?
When a linear system of equations equals zero, it typically means that the solution set consists of the trivial solution, where all variables are equal to zero, especially in homogeneous systems. This implies that the equations are consistent and have at least one solution. In some cases, if the system is dependent, there may be infinitely many solutions, but they will still satisfy the condition of equating to zero. Overall, the system describes a relationship among the variables that holds true under certain constraints.
The orthocenter of a triangle may lie outside the triangle since the altitude may not intersect any side of the triangle?
The orthocenter of a triangle may lie outside the triangle because an altitude does not necessarily intersect the sides of the triangle.
The orthocenter of a triangle may lie outside the triangle since the may not intersect any side of the triangle?
True for an obtuse triangle!
Is triangle a symmetry?
Only if its in the form of an equilateral triangle or a isosceles triangle will it have lines of symmetry.
Which may fall outside a triangle?
A point outside the triangle may.
May an altitude of a triangle may fall outside the triangle?
yes
What statements must be true of an equation before you can use the quadratic formula to find the solutions?
That the discriminant of the quadratic equation must be greater or equal to zero for it to have solutions. If the discriminant is less than zero then the quadratic equation will have no solutions.
The orthocenter of a triangle may lie outside the triangle because the altitude does not necessairly intersect the of the triangle?
The orthocenter of a triangle may lie outside the triangle since the ___altitude___ may not intersect any side of the triangle. * * * * * No. One of the altitudes must intersect the side opposite it and so it is not correct to say ANY side of the triangle.
What is the acceleration if velocity is zero?
velocity may be zero or may not be zero i.e. if the object may continue to move with uniform velocity.
What may fall outside a triangle?
The orthocenter may fall outside of a triangle. The orthocenter usually lies within the inside the triangle. However this is only the case if the triangle is acute.
