That is a binomial because it simplifies to 5x-9 which has two terms hence the bi
Answer:
Step-by-step explanation:
Solve the system:
8x−4y=20
4x−8y=4
Reduce the first equation by dividing every term by -2:
-4x + 2y = -10
and then combine this result with the second equation:
4x−8y=4
-4x + 2y = -10
--------------------
-6y = -6, and so y = 1.
According to the first equation, if y = 1, then 4x - 8 = 4, or x = 3.
Then x = 3 and y = 1.
So, finally, x - y = 3 - 1 = 2
Answer:
30 - Acute
249 - Obtuse
126 - Obtuse
Step-by-step explanation:
Less than 90 - Acute
90 - Right
More than 90 - Obtuse
Answer:
The explicit rule for this situation is
In row 12 there will be 14 pins
Step-by-step explanation:
We have an initial amount of 3 pins in the first row. Let's call the number of pins in row n.
where n is an integer and .
So
In row n + 1 there will always be a pin more than in the previous row n, then:
Then:
<em>Finally in row 12 there will be:
</em>
Answer:
Option B. m⁷/n² is the correct answer.
Step-by-step explanation:
Identity,
xᵃ * xᵇ = xᵃ⁺ᵇ
xᵃ/xᵇ = xᵃ⁻ᵇ
x⁻ᵃ = 1/xᵃ
It is given that,
m⁻⁶ n⁻³/m⁻¹³ n⁻¹
Using these three identities we can write,
m⁻⁶ n⁻³/m⁻¹³ n⁻¹ = m⁻⁶ m¹³/n⁻¹n³ (since x⁻ᵃ = 1/xᵃ)
m⁻⁶ m¹³/n⁻¹n³ =m⁽⁻⁶⁺¹³⁾/n⁽⁻¹⁺³⁾ = m⁷/n² (since xᵃ * xᵇ = xᵃ⁺ᵇ and xᵃ/xᵇ = xᵃ⁻ᵇ)
Therefore Option B. m⁷/n² is the correct answer