Which statement best explains the relationship between
lines FG and HJ?
V
2
х
O They are perpendicular because their slopes are
equal
They are perpendicular because their slopes are
negative reciprocals.
O They are not perpendicular because their slopes are
equal.
They are not perpendicular because their slopes are
not negative reciprocals.
They are not perpendicular because their slopes are not negative reciprocals.
Step-by-step explanation:
For these two lines to be perpendicular, their slopes have to be negative reciprocals.
Slope of FG.
F = (-4, 1)
G = (0, -2)
= (Y₂ - Y₁) / (X₂ - X₁)
= (-2 - 1) / (0 + 4)
= -3/4
Slope of HJ
J = (0 , 4)
H = (-4, -2)
Slope = (Y₂ - Y₁) / (X₂ - X₁)
= (-2 - 4) / (-4 -0)
= 6/4
= 3/2
The slopes of these lines are not negative reciprocals so these lines are not perpendicular.
Answer from: Quest
let's solve your equation step-by-step.
24−3x=−27
step 1: simplify both sides of the equation.
24−3x=−27
24+−3x=−27
−3x+24=−27
step 2: subtract 24 from both sides.
−3x+24−24=−27−24
−3x=−51
step 3: divide both sides by -3.
−3x
−3
=
−51
−3
x=17
answer:
x=17
step-by-step explanation:
mark brainliest and have a great day!
Answer from: Quest
{x = -1/2 , y = -1
step-by-step explanation:
solve the following system:
{2 x + y = -2
{10 x - 3 y = -2
in the first equation, look to solve for y:
{2 x + y = -2
{10 x - 3 y = -2
subtract 2 x from both sides:
{y = -2 x - 2
{10 x - 3 y = -2
substitute y = -2 x - 2 into the second equation:
{y = -2 x - 2
{10 x - 3 (-2 x - 2) = -2
10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:
{y = -2 x - 2
{16 x + 6 = -2
in the second equation, look to solve for x:
{y = -2 x - 2
{16 x + 6 = -2
subtract 6 from both sides:
{y = -2 x - 2
{16 x = -8
divide both sides by 16:
{y = -2 x - 2
{x = -1/2
substitute x = -1/2 into the first equation:
{y = -1
{x = -1/2
collect results in alphabetical order:
answer: {x = -1/2 , y = -1
Another question on Mathematics
Mathematics, 21.06.2019 19:00
Kayla and alberto are selling fruit for a school fundraiser. customers can buy small boxes of grapefruit and large boxes of grapefruit. kayla sold 3 small boxes of grapefruit and 1 large box of grapefruit for a total of $65. alberto sold 1 small box of grapefruit and 1 large box of grapefruit for a total of $55. what is the cost each of one small box of grapefruit and one large box of grapefruit?