For what values of x and y is PQRS a parallelogram?
24+2
ps y+4
sr y+5
qR 2x + 3
pq 2y+2

x = 1, y = 3.

Step-by-step explanation:

(Looks like ps = x + 4 not y + 4).

If PQRS is a parallelogram them PQ = SR , so:

2y + 2 =  y + 5

2y - y = 5 - 2

y = 3.

Also PS = QR:

x + 4 = 2x + 3

2x - x = 4 - 3

x = 1.

x=2 ,y=3

Step-by-step explanation:

PQRS is the parallelogram:

In parallelogram Both the side are equal(parallel)

PQ=RS

Therfore

2y+2=y+5

2y+2-y-5=0

2y-y+2-5=0

y-3=0

y=3

PS=QR

therefore

y+4=2x+3

y+4-2x-3=0

substituting y=3 in the equation

3+4-2x-3=0

7-2x-3=0

4-2x=0

2x=4

x=2

therefore x=2,y=3

here the number -5 is all of the following except a rational number.

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