Anybody know this one?
1 answer:
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Answer:
(0, 2 ) and (- ,
)
Step-by-step explanation:
Given the 2 equations
2x² + 4x - y = - 2 → (1)
x² + y = 2 → (2)
subtract x² from both sides in (2)
y = 2 - x² → (3)
Substitute y = 2 - x² into (1)
2x² + 4x - (2 - x²) = - 2
2x² + 4x - 2 + x² = - 2
3x² + 4x - 2 = - 2 ( add 2 to both sides )
3x² + 4x = 0 ← in standard form
x(3x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x = 0
3x + 4 = 0 ⇒ 3x = - 4 ⇒ x = -
Substitute these values into (3) for corresponding values of y
x = 0 : y = 2 - 0² = 2 - 0 = 2 ⇒ (0, 2)
x = - : y = 2 - (-
)² = 2 -
=
⇒ ( -
,
)
Answer:
cosA ≈ 0.55
Step-by-step explanation:
cosA = =
=
≈ 0.55 ( to the nearest hundredth )
Answer:
y = x - 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (- 2, - 8) and (x₂, y₂ ) = (2, - 6)
m = =
=
, thus
y = x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, - 6), then
- 6 = 1 + c ⇒ c = - 6 - 1 = - 7
y = x - 7 ← equation of line