Answer:
A
Step-by-step explanation:
Given
y - 2x - 8 = 0 ( add 2x + 8 to both sides )
y = 2x + 8 → (1)
y² + 8x = 0 → (2)
Substitute y = 2x + 8 into (2)
(2x + 8)² + 8x = 0 ← expand left side using FOIL and simplify
4x² + 32x + 64 + 8x = 0
4x² + 40x + 64 = 0 ( divide through by 4 )
x² + 10x + 16 = 0 ← in standard form
(x + 8)(x + 2) = 0 ← in factored form
x + 8 = 0 ⇒ x = - 8
x + 2 = 0 ⇒ x = - 2
Substitute these values into (1) for corresponding values of y
x = - 8 : y = 2(- 8) + 8 = - 16 + 8 = - 8 ⇒ P (- 8, - 8)
x = - 2 : y = 2(- 2) + 8 = - 4 + 8 = 4 ⇒ Q (- 2, 4 )
Calculate the length of PQ using the distance formula
PQ =
with (x₁, y₁ ) = P (- 8, - 8) and (x₂, y₂ ) = Q (- 2, 4 )
PQ =
=
=
=
=
=
= ×
= 6 → A
2.0 because if you divide 1.2 by 0.6 it equals 2.0
Answer:
5
Step-by-step explanation:
● 2(5v+3) - 4(7v+1) = -88
● 10v + 6 - 28v - 4 = -88
● (6-4) + (10v-28v) = -88
● 2 + -18 v = -88
● -18v = -90
● v = 90/18
● v = 5
Answer:
3/4
Step-by-step explanation:
that's as simple as it gets
Answer:
5 nicer and 15 regular
Step-by-step explanation:
28(5) + 16(15) = 380
140 + 240 = 380