3 years ago

Which properly describes the line graph made for the inequality X < 7?

Mathematics

1 answer:

lakkis [162]3 years ago

4 0

$x < 7\to x\in(-\infty;\ 7)$

Look at the picture.

You might be interested in

URGENT an athlete can lift a maximum of 80 pounds. if she uses 3 pound weights when she exercises, what percent is she lifting

Anna11 [10]

Answer:

should be 3.75 percent

4 0

3 years ago

Graph XY with endpoints X(5,−2) and Y(3,−3) and its image after a reflection in the x-axis and then a rotation of 270 degrees ab

DerKrebs [107]

Answer:

X''(2, -5), Y''(3, -3)

Step-by-step explanation:

You know that reflection in the x-axis changes the sign of the y-coordinate. Points that used to be above the axis are now below by the same amount, and vice versa.

Rotation counterclockwise by 270° is the same as clockwise rotation by 90°. That maps the coordinates like this:

(x, y) ⇒ (y, -x)

The two transformations together give you ...

(x, y) ⇒ (x, -y) ⇒ (-y, -x) . . . . . . . . equivalent to reflection across y=-x.

Using this mapping, we have ...

X(5, -2) ⇒ X''(2, -5)

Y(3, -3) ⇒ Y''(3, -3) . . . . . . on the equivalent line of reflection, so invariant

_____

The attachment shows the original segment in red, the reflected segment in purple, and the rotated segment in blue. The equivalent line of reflection is shown as a dashed green line.