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3 years ago

Find the following from the parabola below

Mathematics

1 answer:

Troyanec [42]3 years ago

3 0

Answer:

Step-by-step explanation:

Find the axis of symmetry of the graph of y=x2−6x+5 using the formula.

For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .

Here, a=1,b=−6 and c=5 .

Substitute.

x=−−62(1)

Simplify.

x=62 =3

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4. A map of an amusement park is shown on a coordinate plane, where each square

Zielflug [23.3K]

Using cartesian coordinates concepts such as midpoint and distance between two points, it is found that:

The location point of the Ferris wheel is (15,24).
They need to walk 20 units.
The coordinates of the hotdog stand are (23,8).

Water ride is at point (3,8).
Roller coaster is at point (27,40).
The Ferris wheel is at the midpoint of the water ride and the roller coaster, thus it's coordinates are the <u>mean of their coordinates.</u>

$x = \frac{3 + 27}{2} = 15$

$y = \frac{8 + 40}{2} = 24$

The location point of the Ferris wheel is (15,24).

The distance between two points, $(x_1,y_1)$ and $(x_2,y_2)$ is given by:

$D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Here, Tiffany and her sister are at (15,24) while their parents are at (3,8). Thus, their distance is:

$D = \sqrt{(15 - 3)^2 + (24 - 8)^2} = 20$

They need to walk 20 units.

Hotdog stand is directly east of the water ride, thus, it has the <u>same y-coordinate, while the x-coordinate is increased</u>.
The distance is of 20 units, thus:

$(3 + 20, 8) = (23,8)$

The coordinates of the hotdog stand are (23,8).

A similar problem is given at brainly.com/question/24352869

6 0

3 years ago

If Zach has 4 times as many nickels as quarters and they have a combined value of 360 cents, how

CaHeK987 [17]

Answer:

5 Dimes and 20 Quarters

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Figure ABCD is transformed to figure A prime B prime C prime D prime, as shown below:

Flura [38]

The sequence of transformations used to obtain figure A'B'C'D'from figure ABCD are a reflection across the y-axis followed by a horizontal translation 1 unit right

<h3>Complete question</h3>

Figure ABCD is transformed to figure A'B'C'D', as shown below: (see attachment)

Which of the following sequences of transformations is used to obtain figure A'B'C'D'from figure ABCD?

<h3>How to determine the transformation?</h3>

From the attached figure, we can see that:

ABCD and A'B'C'D' are on either sides of the y-axis.

This means that ABCD is first reflected across the y-axis.

ABCD is 2 units from the y-axis, while A'B'C'D' is 1 unit from the y-axis.

This means that the reflection is followed by a translation.

The unit of translation is:

Unit = 2 - 1

Evaluate

Unit = 1

1 represents a right translation

Hence, the sequence of transformations are a reflection across the y-axis followed by a horizontal translation 1 unit right