Alessandro wrote the quadratic equation –6 = x2 + 4x – 1 in standard form. What is the value of c in his new equation?

Answers

Answer 1

Answer: The standard form of a quadratic equation is Ax^2 + Bx + C = 0. So for –6 = x^2 + 4x – 1 to be in its standard form, we can move -6 to the other side of the equation and have x^2 + 4x + (-1 +6) = 0 x^2 + 4x + 5 = 0 So, from the standard form, the value of of C is 5.

Answer 2

Answer:

Answer:

Step-by-step explanation:

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Factor completely 3x − 12.3(x − 4)

3(x + 4)

3x(−12)

Prime

Answers

3x - 12
3(3x/3 - 12/3)
3(x - 4)

The answer is: 3(x - 4).

3(x-4) since 3 times x is 3x and 3 times -4 equals -12

What are 3 prime numbers that equal 59?

Answers

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Jake ran 25 miles in 5 days. how many miles has jake ran per day ?

Answers

Answer:5

Step-by-step explanation:

25 miles divided by 5 days equal the 5 miles

5 times 5 =25

Amy has 35 tiles of the same shape and size in a box. The colors of and amounts of the tiles are shown below:12 red tiles
8 yellow tiles
15 pink tiles
Without looking in the box, Amy takes out a tile at random. She then replaces the tile and takes out another tile from the box. What is the probability that Amy takes out a yellow tile in both draws?

8 over 35 multiplied by 7 over 34 equal 56 over 1190
8 over 35 multiplied by 8 over 35 equal 64 over 1225
8 over 35 plus 7 over 34 equal 517 over 1190
8 over 35 plus 8 over 35 equal 560 over 1225

Answers

The probability that Amy takes out a yellow tile in both draws is : ( B ) 8 over 35 multiplied by 8 over 35 equals 64 over 1225

Meaning of probability

probability is the likelihood of an event occuring or not,two or more events can occur simultaneously and we call that independent events and when one event depend on another event for occurrence we say mutually exclusive.

The question here is a mutually exclusive probability as the picking of the yellow tiles depend on how many times she will dip her hand for the draw.

Given data

red tiles = 12

yellow tiles = 8

pink tiles = 15

total tiles = 35

Probability of picking yellow balls and replacing after a pick is = 8 over 35 multiplied by 8 over 35 which equals 64 over 1225.

In conclusion , the probability of picking yellow balls and replacing after a pick is = 8 over 35 multiplied by 8 over 35 which equals 64 over 1225.

learn more about probability : brainly.com/question/24756209

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8 x 8 = 64
35 35 1225

or about 5.2% chance

The figure shows three parallelograms: ABCD, A′B′C′D′, and A″B″C″D″.Polygon ABCD is________ to create parallelogram A′B′C′D′.
-reflected across the y-axis
-rotated 90 degrees clockwise about the origin
-reflected across the x-axis
-rotated 270 degree clockwise about the origin

Polygon ABCD is________ to create parallelogram A″B″C″D″.
-reflected across the y-axis
-rotated 90 degrees clockwise about the origin
-reflected across the x-axis
-rotated 270 degree clockwise about the origin

Answers

Polygon ABCD is -rotated270 degrees clockwise about the origin to create parallelogram A′B′C′D′.

Polygon ABCD is rotated 90 degrees clockwiseabout the origin to create parallelogram A″B″C″D″.

Given that

The figure shows three parallelograms: ABCD, A′B′C′D′, and A″B″C″D″.

According to the question

1. Polygon ABCD is________ to create parallelogram A′B′C′D′.

The quadrilateral ABCD draws the counterclockwise rotation of 270 degrees centered at the origin.

Suppose point A is attached to the arrow in red from the center (0,0). The arrow is now moved 270 counterclockwise. the new position of A marked A'. A' will also be "on" the axis as A was or is "on" the axis.

Rotation of 270 degrees on Coordinate Axes

Centered at origin

(x, y) → (y, -x )

(2, 3) → (3, -2)

Polygon ABCD is -rotated270 degrees clockwise about the origin to create parallelogram A′B′C′D′.

2. Polygon ABCD is________ to create parallelogram A″B″C″D″.

Rotation of 90 degrees on Coordinate Axes

(3, -2) -> (2, 3)

Polygon ABCD is rotated 90 degrees clockwiseabout the origin to create parallelogram A″B″C″D″.

To know more about Rotation click the link given below.

brainly.com/question/3511113

Parallelogram ABCD is reflected across the x-axis to create parallelogram A'B'C'D'. Parallelogram A'B'C'D' maintains the same distance from the x-axis for all points. Parallelogram ABCD has positive x-values and positive y-values, and parallelogram A'B'C'D' has positive x-values and negative y-values, which also define this transition.

Parallelogram ABCD has positive x-values and positive y-values. Parallelogram A''B''C''D'' has negative x-values and positive y-values. If we look at point B in both parallelograms, point B in ABCD is located at point (2,3), and point B in A''B''C''D'' is located at point (-3, 2). This means that parallelogram A'B'C'D' was rotated about the origin 270 degrees clockwise, or 90 degrees counter-clockwise, due to the flipping of x and y values and the change in the x-value's sign.

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