Carlos performed a transformation on trapezoid EFGH to create E′F′G′H′, as shown in the figure below: A four quadrant coordinate grid is drawn. Trapezoid EFGH with coordinates are drawn at E negative 6, negative 4. F is at negative 4, negative 4. G is at negative 2, negative 6. H is at negative 7, negative 7. Trapezoid E prime F prime G prime H prime with coordinates are drawn at E prime negative 4, 6. F prime is at negative 4, 4. G prime is at negative 6, 2. H prime is at negative 7, 7.

What transformation did Carlos perform to create E′F′G′H′?

Rotation of 270° clockwise about the origin
Reflection across the x-axis
Rotation of 90° clockwise about the origin
Reflection across the line of symmetry of the figure

idk

step-by-step explanation:

start with a line segment pq that we will copy. mark a point r that will be one endpoint of the new line segment. set the compasses' point on the point p of the line segment to be copied. adjust the compasses' width to the point q. the compasses' width is now equal to the length of the line segment pq.

step-by-step explanation:

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

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i cant fully remember all of the ranks, here are the ones i remember.

hand, ambitous, ace, genius.