Quadrilateral pqrs, with vertex p(-5, -3), undergoes a transformation to form quadrilateral p′q′r′s′, with p′ at (5, 3). the type of transformation pqrs undergoes is a a. reflection over the x-axis b. reflection over the y-axis c. translation 2 units right and 7 units up. d. 180 degrees about the origin.

D. 180 degrees about the origin.

Step-by-step explanation:

Let's consider what these transformation choices do.

A. Reflection over the X-axis changes the sign of the Y-coordinate. (-5, -3) becomes (-5, 3).

B. Reflection over the Y-axis changes the sign of the X-coordinate. (-5, -3) becomes (5, -3).

Reflection over both axes changes the signs of both X- and Y-coordinates, so (-5, -3) would become (5, 3). That is, one choice for the desired transformation is "A and B".

C. Translation 2 right and 7 up adds (2, 7) to the coordinates, so (-5, -3) becomes (-3, 4).

D. Rotation 180° about the origin changes the signs of both X- and Y-coordinates, so (-5, -3) becomes (5, 3). This is an appropriate single choice for the desired transformation.

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

step-by-step explanation:

if you want to solve percent error follow these steps.

1. subtract the accepted value from the experimental value.

2. take the absolute value of step 1.

3. divide that answer by the accepted value.

4. multiply that answer by 100 and add the % symbol to express the answer as a percentage.

if you want to solve percent of change just do this.

1. work out the difference (increase) between the two numbers you are comparing.

2. divide the increase by the original number and multiply the answer by 100. if your answer is a negative number then this is a percentage decrease.

hope this : )