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2 years ago

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A figure has vertices at A(—3, 2), B(—l, —l), and C(—4, —2). After a transformation,the image of the figure has vertices at A'(3

, 2), B'(l, —l), and C'(4, —2). Draw the preimage and image. Then identify the transformation

1 answer:

Leokris [45]2 years ago

8 0

Answer:

rotate 180° about origin

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Stella [2.4K]

<u>Question:</u>

Find the number of real number solutions for the equation. x^2 + 5x + 7 = 0

<u>Answer:</u>

The number of real solutions for the equation $x^{2}+5 x+7=0$ is zero

<u>Solution:</u>

For a Quadratic Equation of form : $a x^{2}+b x+c=0$ ---- eqn 1

The solution is $x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Now , the given Quadratic Equation is $x^{2}+5 x+7=0$ ---- eqn 2

On comparing Equation (1) and Equation(2), we get

a = 1 , b = 5 and c = 7

In $x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$ , $b^2 - 4ac$ is called the discriminant of the quadratic equation

Its value determines the nature of roots

Now, here are the rules with discriminants:

1) D > 0; there are 2 real solutions in the equation

2) D = 0; there is 1 real solution in the equation

3) D < 0; there are no real solutions in the equation

Now let solve for given equation

$D= b^2 - 4ac\\\\D = 5^2 - 4(1)(7)\\\\D = 25 - 28 \\\\D = -3$

Since -3 is less than 0, this means that there are 0 real solutions in this equation.

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sasho [114]

1 I think. Tell me if that is correct

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nikklg [1K]

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△PQR has two known interior angles of 34°, and 80°. △RST has two known interior angles of 24°, and 90°. What can be determined a

Sergeeva-Olga [200]

In order for two triangles to be similar, there must be 2 pairs of congruent angles. Since two angles of triangle PQR have different measures from two angles of triangle RST, it is impossible to have two pairs of congruent angles, so the triangles cannot be similar.

The answer is in bold type below.

<span>All interior angles must be given to determine similarity.
The triangles are not similar.
Similarity cannot be determined from the given information.
The triangles are similar. </span>

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3 years ago

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What is the answer

Igoryamba

Answer:

∠B = 60°

Step-by-step explanation:

They are supplementary angles, which means they add up to 180°.

∠B + ∠A = 180

? + 120 = 180

? = 180 - 120

? = 60°

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3 years ago