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3 years ago

What is the value of this quadratic function. 4x^2+88x

Mathematics

1 answer:

nydimaria [60]3 years ago

5 0

Answer:

x = 0 or x = -22

Step-by-step explanation by completing the square:

Solve for x:

4 x^2 + 88 x = 0

Divide both sides by 4:

x^2 + 22 x = 0

Add 121 to both sides:

x^2 + 22 x + 121 = 121

Write the left hand side as a square:

(x + 11)^2 = 121

Take the square root of both sides:

x + 11 = 11 or x + 11 = -11

Subtract 11 from both sides:

x = 0 or x + 11 = -11

Subtract 11 from both sides:

Answer: x = 0 or x = -22

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En una clase, 1/3 de los estudiantes eligieron estudiar español como segundo lenguaje vivo. 1/9 eligió italiano, el resto eligió

max2010maxim [7]

Answer:

5/9

Step-by-step explanation:

La clase entera es 1.

1/3 estudian español.

1/9 estudian italiano.

1 - 1/3 - 1/9 estudian alemán.

1 - 1/3 - 1/9 = 9/9 - 3/9 - 1/9 = 5/9

5/9 de los estudiantes estudian alemán.

n = numero total de estudiantes en la clase.

5/9 n = 15

9/5 * 5/9 * n = 15 * 9/5

n = 27

Hay 27 estudiantes en la clase.

27 - 15 = 12

12 estudiantes no estudian alemán.

4 0

3 years ago

The coordinates of vertices of quadrilateral questions in picture please help

frutty [35]

Answer:

5. (x, y) ⇒ (-x, y) — see attached for the diagram

6. (x, y) ⇒ (x+3, y+5)

7. dilation

Step-by-step explanation:

5. A point reflected across the y-axis will have the same y-value, but the opposite x-value. The transformation rule is ...

(x, y) ⇒ (-x, y)

___

6. A horizontal translation by "h" adds the value "h" to every x-coordinate. A vertical translation by "k" adds the value "k" to every y-coordinate. Then a translation by (h, k) will give rise to the rule ...

(x, y) ⇒ (x+h, y+k)

Your translation right 3 and up 5 will give the rule

(x, y) ⇒ (x+3, y+5)

___

7. Any translation, rotation, or reflection is a "rigid" transformation that preserves all lengths and angles. Hence the transformed figure is congruent to the original.

When a figure is dilated, its dimensions change. It is no longer congruent to the original. (If the dilation is the same in x- and y-directions, then the figures are similar, but not congruent.)