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: 73
Step-by-step explanation:
The answer is 1561 yuans and 27 jiao.
<h2>Part a)</h2>
You can name planes by one letter or using three points belonging to it that are <u>not</u> on the same line.
Another name for plane X could be:
- Plane ABF, Plane BCF or Plane ACF. You may also get different names by reordering the three letters.
<h2>Part b)</h2>
Coplanar means 'on the same plane'.
The points on the same plane as point A are:
<h2>Part c)</h2>
Collinear means 'on the same line'.
Other points on the same line as point C are:
<h2>Part d)</h2>
The line that intersects ED is:
- AC, it can be also named AB or BC.
If you would like to solve <span>2/5 * (15x - 20) = 3 * (3x - 4), you can do this using the following steps:
</span>2/5 * (15x - 20) = 3 * (3x - 4)
6x - 8 = 9x - 12
-8 + 12 = 9x - 6x
4 = 3x
x = 4/3 = 1 1/3
The correct result would be 4/3.