The line y = x is transformed to create the line
y = −1/2x − 1
which of the following may be used to describe the transformation? select all that apply.

a. all x-values are opposites of half the original x-values.

b. the graph is reflected across the y-axis, moved 1 unit down, and the rate of change is halved.

c. all x-values are half the original x-values.

d. the graph is reflected across the y-axis, moved 1 unit down, and the rate of change is doubled.

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

where is the diagram? shown below where? ?

step-by-step explanation: