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

STatiana [176]

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

<em>Very important note:</em>

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

7 0

3 years ago

A candidate running for office is putting on a gala as a fundraiser, with hopes of raising more than $7,900 in political contrib

baherus [9]

The simplest interpretation would go a little something like this:

We know that we want the total donation amount to be more than $7,900, so we can set up this inequality to begin with

$D \ \textgreater \ 7,900$

Where D is the total donations raised (in dollars). How do we find D? Well, we just add up the total number of table reservations sold and the total number of single tickets sold. If we let r stand for the number of reservation tickets and s stand for the number of single tickets, then we have

$D=540r+34s$

So, the inequality representing this situation would be

$540r+34s\ \textgreater \ 7,900$

And that would probably be fine for this problem.

<span><em>Footnote:</em> </span>Of course, if this were a real-life scenario, we'd need to take some additional details into account: How many tables do we have? How many people can be seated at each table?

3 0

3 years ago

How do you write in numerals

kotegsom [21]

Answer:

<h2>Basic numbers</h2><h3>Numbers up to nine should always be written in words, anything higher than nine can be written in numerals. Alternatively, some guides suggest that if you can write the number in two words or fewer then use words rather than number.</h3>

<h2>hope it's helpful for u !!</h2>

7 0

3 years ago

Read 2 more answers

The sum of a rational number and a positive integer is rational.

Marina86 [1]

Answer:

Step-by-step explanation:

Always True

Positive integers are rational numbers. Adding two rational numbers produces another rational number.

5 0

3 years ago

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Find the area of the triangle with the given base and height.<br> b = 3 m and h = 10 1/2 m

svetoff [14.1K]

<u>Statement</u><u>:</u>

The base of a triangle is 3m and its height is $10 \frac{1}{2}$ m.

The area of the triangle.

<u>Solution:</u>

Given, base = 3m, height = $10 \frac{1}{2}$ m
We know,

$\sf \: area \: \: of \: \: a \: \: triangle = \frac{1}{2} \times base \: \times height$

Therefore, the area of the triangle

$\sf = (\frac{1}{2} \times 3 \times 10 \frac{1}{2} ) {m}^{2} \\ \sf = ( \frac{1}{2} \times 3 \times \frac{21}{2} ) {m}^{2} \\ = \sf \frac{63}{4} {m}^{2} \\ = \sf 15\frac{3}{4} {m}^{2}$

<u>Answer</u><u>:</u>

The area of the triangle is $\sf \: 15 \frac{3}{4} {m}^{2}$

Hope you could understand.

If you have any query, feel free to ask.

5 0

2 years ago

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￼guys.. my crush just asked to call but i’m insecure about my voice. what should i do:(

guys.. my crush just asked to call but i’m insecure about my voice. what should i do:(