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2 years ago

What is the rule used to reflect the triangle ABC to its image?

Mathematics

1 answer:

Debora [2.8K]2 years ago

3 0

Answer:

The rule used to reflect Δ ABC to its image is Reflect over y = x ⇒ B

Step-by-step explanation:

If the point (x, y) reflected across the x-axis , then its image is (x, -y)

If the point (x, y) reflected across the y-axis , then its image is (-x, y)

If the point (x, y) reflected across the line y = x , then its image is (y, x)

If the point (x, y) reflected across the line y = -x , then its image is (-y, -x)

From the given figure

∵ The coordinates of point A are (-4.5, 6)

∵ The coordinates of point A' are (6, -4.5)

→ The coordinates are switched ⇒ 3rd rule

∴ Point A is reflected over the line y = x

∴ Δ ABC is reflected over the line y = x

∴ The rule used to reflect Δ ABC to its image is Reflect over y = x

<em>Note: Point B' on the graph should be C' and point C' should be B' (correct it)</em>

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2 years ago

Mozart's Music Store rents trombones for $34 a month. Bach's Music Store rents trombones for $30 per month plus a yearly fee of

jeka94

Answer:

Step-by-step explanation:

Let $M(x)$ be the cost of renting from Mozart's Music Store for $x$ years, and $B(x)$ be the cost of renting from Bach's Music Store for $x$ years.

From the problem statement, we can come up with the following equations:

$M(x) = 34(12x)$

$B(x) = 30(12x) + 48x$

Plugging in $x = 9$ for each equation, we can get the answer:

$M(9) = 34(12 * 9)$

$M(9) = 34(108)$

$M(9) = 3672$

$B(9) = 30(12 * 9) + 48(9)$

$B(9) = 30(108) + 432$

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3 years ago

On a coordinate plane, a curved line with a minimum value of (negative 1.25, negative 3.25) and a maximum value of (0.25, negati

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The statement which is true about the end behavior of the graphed function is third option that is as the x-values go to negative infinity, the function's values are equal to zero.

A coordinate plane is a two dimensional plane formed by the intersection of two number lines . One of these number lines is a horizontal number lines called the x-axis and the other number line is a vertical number line called the y-axis.

The exact answer is third option that is as the x-values go to negative infinity, the function's values are equal to zero.

Step by step explanation:

Minimum value (negative 1.25, negative 3.25)

Maximum value of (0.25, negative 1.75)

The x intercepts where the graph crosses the x axis.

Value of x when y=0 crosses x axis at (negative 2.25, 0)

The y intercept are where the graph crosses the y axis.

Value of y when x=0 crosses y axis at (0, negative 2)

The line exits the plane at (negative 2.75, 6) and (1.5, 6).

It can be seen from the coordinates that as the x-values go to negative infinity, the function's values are equal to zero, the coordinates of y approaches zero.

Learn more about coordinates from:

brainly.com/question/17206319

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