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2 years ago

Draw the line of reflection that reflects quadrilateral ABCD onto quadrilateral A'B'C'D'

Mathematics

1 answer:

MArishka [77]2 years ago

6 0

The two points are (-4, -2) and (4, 5) and the equation of the line is 8y = 7x + 12 passing through the two points.

<h3>What is geometric transformation?</h3>

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

We have a quadrilateral ABCD which is reflected over a line and formed a mirror image A'B'C'D' of the quadrilateral.

From the graph:

The two points are (-4, -2) and (4, 5)

The line equation passing through two points:

[y - 5] = (5+2)/(4+4)[x - 4]

y - 5 = 7/8[x - 4]

8y - 40 = 7x - 28

8y = 7x + 12

Thus, the two points are (-4, -2) and (4, 5) and the equation of the line is 8y = 7x + 12 passing through the two points.

Learn more about the geometric transformation here:

brainly.com/question/16156895

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Mrs. Lang is 4 times as old as her daughter Jill. The sum of their ages is 60 years. Set up the two equations that can be used t

KatRina [158]

Answer:

The two equations that can be used to find each of their ages are $x=4 \times y$ and $x+y=60$ .

Step-by-step explanation:

We are given that Mrs. Lang is 4 times as old as her daughter Jill. The sum of their ages is 60 years.

Let the age of Mrs. Lang be 'x years' and the age of her daughter Jill be 'y years'.

Now, according to the question;

The <u>first condition</u> states that Mrs. Lang is 4 times as old as her daughter Jill, that means;

$x=4 \times y$ ----------------- [equation 1]

The <u>second condition</u> states that the sum of their ages is 60 years, that means;

$x+y=60$

$4y + y = 60$ {using equation 1}

$5y=60$

$y=\frac{60}{5}$

y = 12 years

Now, putting the value of y in equation 1 we get;

$x=4 \times y$

$x= 4 \times 12$ = 48 years

Hence, the age of Mrs. Lang is 48 years and her daughter Jill is 12 years old.

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2 years ago

The sum of three consecutive odd integers is –87. What are the integers?

nirvana33 [79]

-30 -29 -28 is the correct answer

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There are 12 squares and 4 triangles. What is the equation that compares the number of squares s to the number of triangles t?

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3 years ago

Enter an equation in standard form for the line.<br> Slope is -5, and (-6, -10) is on the line.

fredd [130]

Y+10=-5(x+6)
Y +10= -5x-30
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3 0

2 years ago

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Simplify 9y+2y-5y please answer

Brums [2.3K]

Answer:

$9y+2y-5y=6y$

Step-by-step explanation:

So we have the expression:

$9y+2y-5y$

To simplify, simply combine the like terms. Therefore:

$9y+2y-5y\\=11y-5y\\=6y$

Further notes:

To understand why we can combine like terms in the first place, we just need to use the distributive property. So we have the expression:

$9y+2y-5y$

Now, factor out a y from the three terms:

$=y(9+2-5)$

Do all the operations inside the parenthesis:

$y(9+2-5)\\=y(11-5)\\=y(6)=6y$

And we moved the y back to the front!

This is the same result as before. When combining like terms, this is what we're essentially doing but without doing the distributive property manually. I hope you understand a bit better on how and why we can combine like terms!

7 0

2 years ago

Read 2 more answers