Answer:
<em>reciprocal</em><em> </em><em>of</em><em> </em><em>3</em><em> </em><em>is</em><em> </em><em>1</em><em>/</em><em>3</em><em>.</em><em>.</em>
Answer:
-5/32
Step-by-step explanation:
line and a point can be collinear.this statement is true about a line and a point
option A is correct
<span> we </span>define<span> a </span>point<span> as a location and no size
</span>A line<span> is </span><span>something that extends infinitely in either direction but has no width and is one dimensional while a plane extends infinitely in two dimensions. </span>point line<span> plane coplanar collinear.
</span>hope this helps
Answer:
c₁ = 1/2
c₂ = - e²/2
y = (1/2)*(eˣ - e²⁻ˣ)
Step-by-step explanation:
Given
y = c₁eˣ + c₂e⁻ˣ
y(1) = 0
y'(1) = e
We get y' :
y' = (c₁eˣ + c₂e⁻ˣ)' ⇒ y' = c₁eˣ - c₂e⁻ˣ
then we find y(1) :
y(1) = c₁e¹ + c₂e⁻¹ = 0
⇒ c₁ = - c₂/e² <em>(I)</em>
then we obtain y'(1):
y'(1) = c₁e¹ - c₂e⁻¹ = e <em>(II)</em>
⇒ (- c₂/e²)*e - c₂e⁻¹ = e
⇒ - c₂e⁻¹ - c₂e⁻¹ = - 2c₂e⁻¹ = e
⇒ c₂ = - e²/2
and
c₁ = - c₂/e² = - (- e²/2) / e²
⇒ c₁ = 1/2
Finally, the equation will be
y = (1/2)*eˣ - (e²/2)*e⁻ˣ = (1/2)*(eˣ - e²⁻ˣ)
The best approach would be to subtract 6 from both sides of the equation for the first equation
5x = y + 6
5x - 6 = y
Therefore the y is isolated so you can substitute that into the second equation
2x - 3(5x -6) = 4
~~hope this helps~~