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elena-s [515]
1 year ago
5

Find all values of y such that the distance between (7,y) and (-3,8) is 18 Y=

Mathematics
1 answer:
patriot [66]1 year ago
7 0

To calculate the distance between 2 points we will use the following equation:

D=\sqrt[]{(x_2-x_1)^2-(y_2-y_1)^2}

For this exercise we have the following data:

\begin{gathered} D=18 \\ x_1=7 \\ x_2=-3 \\ y_1=y \\ y_2=8 \end{gathered}

We plug the values into the distance equation and solve for the unknown Y

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Step-by-step explanation:

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3 years ago
Can I get help with this
Hunter-Best [27]

Answer:

The correct option is;

B) -6

Step-by-step explanation:

The given parameters are;

The line of symmetry of f(x) = The line of the reflection of g(x) over the y-axis

f(x) = 3·x² + b·x + c

From the given graph of g(x), we have;

The vertex point of g(x) = (-1, 8)

The line of symmetry is the line x = -1

The image of the reflection of (x, y) over the y-axis is (-x, y)

The image of the vertex of g(x) following a reflection across the y-axis is (1, 8)

Therefore;

The line of symmetry of the image of g(x) following a reflection over the x-axis is the line x = 1

The line (axis) of symmetry of a quadratic function is the line x = -b/(2·a), which is a line that always go through the vertex of the parabola

Where;

a = The coefficient of x²

b = The coefficient of 'x'

For f(x) = 3·x² + b·x + c, a = 3, and b = b

Given that f(x) and the image of g(x) have the same line of symmetry, we have;

The line of symmetry of f(x) is x = 1

Therefore, from the formula for the line of symmetry, we have;

x = -b/(2·a)

x = 1

By substitution, we have;

1 =  -b/(2·a)

∴ -2·a = b

Given that a = 3, we get;

-2 × 3 = -6 = b

b = -6

3 0
3 years ago
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Volgvan

Answer:

NO

Step-by-step explanation:

A statistical question is a question that can be answered by collecting data that vary. For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question.

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Answer: <em>C</em>

Step-by-step explanation:

<em>In 2 games the team had </em><em><u>zero</u></em><em> runs</em>

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<em>In 1 game the team had </em><em><u>two</u></em><em> runs</em>

<em>In 3 games the team had </em><em><u>three</u></em><em> runs</em>

<em>In 2 games the team had </em><em><u>four</u></em><em> runs</em>

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To convert feet to yards you must _____
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