40 points

Mathematics

2 answers:

Molodets [167]3 years ago

7 0

△BCD has coordinates B(4, 2) , C(6, 2) , and D(6, 5) .

△B′C′D′ has coordinates B′(2, 1) , C′(4, 1) , and D′(4, 4)

translated to the left 2 units and down 1 unit

x =horizontal, y = vertical

Answer

horizontal translation of −2 followed by a vertical translation of −1

kiruha [24]3 years ago

3 0

The first number is parentheses is the X coordinate which would be the horizontal alignment.

The 2nd number is the Y coordinate, which would be the vertical alignment.

Looking at the X coordinates for B, C, and D, the translated numbers become smaller by 2 ( 4-2 = 2, 6-4 = 2) this means the triangle moves 2 places to the left, which is a -2 change.

The y values become smaller by 1 ( 2-1 = 1, 5-4 = 1) so this would be a shift in the vertical position by -1.

The correct answer is:

horizontal translation of −2 followed by a vertical translation of −1

You might be interested in

Can someone help me with this problem involving factoring a trinomial and filling in a table? Steps 1, 2, and 3 please. Thank yo

oksano4ka [1.4K]

Step 1 involves you listing out all the ways to multiply to 56, and then adding up those factors. For instance, the first row has 1 and 56 which add to 57 in the third column. The second row has -1 + (-56) = -57. The third row has 2+28 = 30. And so on. The idea is to fill out the table completely with the other ways to have factors of 56 added up. The table is shown in the attached image below.

------------------

Step 2 then uses the table to figure out which pair of factors (of 56) add to -15. This would be -7 and -8. In other words,

-7 plus -8 = -15

-7 times -8 = 56

We have found the right pair of numbers. In the table I have provided, this is shown as the highlighted yellow row.

------------------

Step 3 is then using those pair of numbers found in step 2 to set up the factorization. We would say that x^2-15x+56 factors to (x-7)(x-8). This is the same as (x-8)(x-7) as we can multiply two numbers in any order we want.