Answer:
x = 5
Step-by-step explanation:
the sum of the angles is 180
16x - 5 + 22x - 5 = 180
38x - 10 = 180
38x = 190
x = 5
OK, the relation. (2,9), (2,8), (-3,7) (-3,6)
Since 2 maps to two values, as does -3, this relation is not a function.
~~~~~~~~~~~~~
By the way these points, in this slightly different order,
(2,9), (2,8), (-3,7) (-3,6)
are the vertices of a parallelogram.
( - 10, - 22 )
using the midpoint formula,
let the other endpoint have coordinates (x, y) then
(2 + x ) = - 4 ( multiply through by 2 )
2 + x = - 8 ( subtract 2 from both sides ) then
x = -8 - 2 = - 10 ← value of x-coordinate
Similarly for y-coordinate
(8 + y ) = - 7 ( multiply through by 2 )
8 + y = - 14 ( subtract 8 from both sides )
y = - 14 - 8 = - 22 ← y -coordinate
the other endpoint is ( - 10, - 22 )
This one's simple..
B) -8 units
Answer: 10, 11, & 12
<u>Step-by-step explanation:</u>
Let x represent the age of the youngest child.
Their ages are consecutive so,
Youngest: x
Middle: x + 1
Oldest: x + 2
The age of the Youngest squared (x²) equals 8 times the Oldest [8(x + 2)] plus 4.
x² = 8(x + 2) + 4
x² = 8x + 16 + 4
x² = 8x + 20
x² - 8x - 20 = 0
(x - 10)(x + 2) = 0
x - 10 = 0 or x + 2 = 0
x = 10 or x = -2
Since age cannot be negative, x = -2 is not valid
So, the Youngest (x) is 10
the Middle (x + 1) is 11
and the Oldest (x + 2) is 12