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3 years ago

The vertex of this parabola is at (-2, 5) (opens upward)

Mathematics

1 answer:

Rzqust [24]3 years ago

7 0

Answer:

b. y = 3(x+2)^2 + 5

Step-by-step explanation:

The vertex form of a parabola is

y = a(x - h)^2 + k where (h, k) is the vertex.

Here h = -2 and k = 5 so the following could be the required equation\;

y = 3(x+2)^2 + 5

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3 years ago

Solve using substitution x = 3y + 1 2x + 4y = 12

Free_Kalibri [48]

Answer:

x = 4

y = 1

Step-by-step explanation:

x = 3y + 1 (Multiply everything by -2)

2x + 4y = 12 (Transfer 4y to the right of the = sign)

2x = -4y + 12

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3 years ago

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jeka57 [31]

Answer:

Step-by-step explanation:

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7 0

3 years ago

I need help ASAP 10 Points!!!

swat32

Purple color figure is similar to the original figure.

Solution:

Property of similar polygon:

Similar polygons have same shape, corresponding angles are congruent and the corresponding sides are in the same ratio.

(1) Compare original figure with green color figure:

Angles of the original figure:

37°, 53° and 90°.

Angles of the green color figure:

67°, 23° and 90°

These two angles of the triangles not congruent angles.

Hence these shapes are not similar.

(2) Compare original figure with yellow color figure:

Angles of the original figure:

37°, 53° and 90°.

Angles of the yellow color figure:

67°, 23° and 90°

These two angles of the triangles are not congruent angles.

Hence these shapes are not similar.

(3) Compare original figure with purple color figure:

Angles of the original figure:

37°, 53° and 90°

Angles of the purple color figure:

37°, 53° and 90°

These two triangles have same shape and congruent angles.

Ratio of the sides:

$$\frac{3}{6}=\frac{1}{2} , \ \frac{4}{8}=\frac{1}{2} , \ \frac{5}{10}=\frac{1}{2}$

These two triangles have same ratio.

Hence these shapes are similar.

Hence purple color figure is similar to the original figure.

4 0

3 years ago