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BlackZzzverrR [31]
3 years ago
9

Explain how you can determine the number of real number solutions of a system of equations in which one equation is linear and t

he other is quadratic–without graphing the system of equations.
Mathematics
2 answers:
DerKrebs [107]3 years ago
4 0

Isolate one variable in the system of equations. Use substitution to create a one-variable equation. Then, set the quadratic equation equal to zero and find the discriminant. If the discriminant is negative, then there are no real number solutions. If the discriminant is zero, then there is one real number solution. If the discriminant is positive, then there are two real number solutions.

fenix001 [56]3 years ago
4 0

Answer:

e2020

Step-by-step explanation:

Use substitution to create a one-variable equation.

Set the quadratic equation equal to zero and find the discriminant.

The value of the discriminant will tell you how many real number solutions the system of equations has

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Sever21 [200]

Answer:

C.

Step-by-step explanation:

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6 0
3 years ago
Read 2 more answers
Given that ΔPQR is similar to ΔPTS, which statement MUST be true? A) m∠PST = m∠QPR B) m∠TPS = m∠RPQ C) m∠SPT = m∠PTS D) m∠PRQ =
galina1969 [7]

Answer:

The correct option is B.

Step-by-step explanation:

Two triangle are similar if their corresponding sides are in the same proportion or the corresponding angles are same.

It is given that the ΔPQR is similar to ΔPTS. It means all corresponding angles are same.

\angle R=\angle S

\angle Q=\angle T

\angle P=\angle P

Angle P can be defined as

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Therefore option B is correct.

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\angle SPT\neq\angle PTS

\angle PRQ\neq\angle PTS

Therefore option A, C and D are incorrect.

7 0
3 years ago
Read 2 more answers
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