Determine the value of the variable in the simplified expressions. What is the value of x in this simplified expression? (Negative j) Superscript negative 7 = StartFraction 1 Over (negative j) Superscript x EndFraction x = What is the value of y in this simplified expression? k Superscript negative 5 + m Superscript negative 10 = StartFraction 1 Over k Superscript y EndFraction + StartFraction 1 Over m Superscript 10 EndFraction y =

What is the value of x in this simplified expression?

x=  ✔ 7

What is the value of y in this simplified expression?

y =  ✔ 5

Step-by-step explanation:

Thank if correct!

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²