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3 years ago

Line L is mapped onto the line t by a dilation centered at

Mathematics

1 answer:

STatiana [176]3 years ago

7 0

The equation of line T is 2x - y = 7 ⇒ (6x - 3y = 21)

Step-by-step explanation:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size

If the equation of a line is ax + by = k is dilated, with center origin and scale factor k, then the equation of the image of the line is kax + kby = kc
The line and its image are parallel
The coordinates of a general point on the image is (kx , ky)

Line L is mapped onto the line T by a dilation centered at the origin and a scale factor of 3.

That means lint T is the image of line L after dilation

∵ The equation of line L is 2x - y = 7

∵ Line L is dilated by scale factor 3 and centered at origin

- That means multiply the equation of line L by 3 to find the

equation of line t

∵ Line T is the image of line L after dilation

∴ The equation of line T is (3)(2x) - (3)(y) = (3)(7)

∴ The equation of line T is 6x - 3y = 21

Very important note:

The equation of line T is the same with equation of line L but multiplied by the scale factor 3 ⇒ L and T are coincide lines (same line)

That means the equation of lines T and L is 2x - y = 7

The equation of line T is 2x - y = 7 ⇒ (6x - 3y = 21)

Learn more:

You can learn more about dilation in brainly.com/question/2480897

#LearnwithBrainly

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Answer:

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Answer:

$y=x^2+5x+20\\ \\ y=8x^2+35$

Explanation:

The end behavior of a rational function is the limit of the function as x approaches negative infinity and infinity.

Note that the the values of even functions are the same for ± x. That implies that their limits for ± ∞ are equal.

The limits of the quadratic function of general form $y=ax^2+bx+c$ as x approaches negative infinity or infinity, when $a$ is positive, are infinity.

That is because as the absolute value of x gets bigger y becomes bigger too.

In mathematical symbols, that is:

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Hence, the graphs of any quadratic function with positive coefficient of the quadratic term will have the same end behavior as the graph of y = 3x².

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3 years ago

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3 years ago

Half of the tuna sandwich were on white bread. 25% of the ham sandwiches sold were on brown bread.

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Answer:

The frequency table is shown below.

Step-by-step explanation:

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On brown bread, tuna = 42 - 21 = 21

(ii) 25% of the ham sandwiches sold were on brown bread.

= 25% (32) = 8

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Answer:

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Step-by-step explanation:

1/4 of a pan of brownies leftover.

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x/4÷3

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