Answer:
The value of v is 6° and the value of w is 15°
Step-by-step explanation:
we know that
When parallel lines are cut by a transversal line, the same-side exterior angles are supplementary and each pair of alternate interior angles is equal in measure
so
5v=2w -----> equation A
10w+5v=180 ----> equation B
substitute equation A in equation B and solve for w
10w+(2w)=180
12w=180
w=15°
Find the value of v
5v=2w -----> v=2w/5
v=2(15)/5=6°
therefore
The value of v is 6° and the value of w is 15°
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)
Solve using identities (x-y)² when opened becomes x²-2xy+y² now add second equation amd tou will get the ans
Answer:
p = 3
Step-by-step explanation:
27p + 6.25 = 87.25
- 6.25 -6.25 = 27p + 0 = 81 = 27p = 81
81/27 = 3
p = 3
Answer:
−
2
x
=
−
8
Step-by-step explanation: