Yes, the answer is both of them. tell me if you want to know why
(x + 5)(x² - 3x)
Use FOIL (First, Outside, Inside, Last)
x(x²) = x³
x(-3x) = -3x²
5(x²) = 5x²
5(-3x) = -15x
Combine like terms:
x³ - 3x² + 5x² - 15x
x³ + 2x² - 15
x³ + 2x² - 15 is your answer
hope this helps
Answer:
The statement If ∠A ≅ ∠C not prove that Δ ABD ≅ Δ CBD by SAS ⇒ C
Step-by-step explanation:
* Lets revise the cases of congruence
- SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ
- SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and
including angle in the 2nd Δ
- ASA ⇒ 2 angles and the side whose joining them in the 1st Δ
≅ 2 angles and the side whose joining them in the 2nd Δ
- AAS ⇒ 2 angles and one side in the first triangle ≅ 2 angles
and one side in the 2ndΔ
- HL ⇒ hypotenuse leg of the first right angle triangle ≅ hypotenuse
leg of the 2nd right angle Δ
* Lets solve the problem
- In the 2 triangles ABD , CBD
∵ AB = CB
∵ BD is a common side in the two triangles
- If AD = CD
∴ Δ ABD ≅ Δ CBD ⇒ SSS
- If BD bisects ∠ABC
∴ m∠ABD = m∠CBD
∴ Δ ABD ≅ Δ CBD ⇒ SAS
- If ∠A = ∠C
∴ Δ ABD not congruent to Δ CBD by SAS because ∠A and ∠C
not included between the congruent sides
* The statement If ∠A ≅ ∠C not prove that Δ ABD ≅ Δ CBD by SAS
Answer: the population after 9 years is 17175
Step-by-step explanation:
We would apply the formula for exponential decay which is expressed as
A = P(1 - r)^ t
Where
A represents the population after t years.
t represents the number of years.
P represents the initial population.
r represents rate of growth.
From the information given,
P = 24800
r = 4% = 4/100 = 0.04
t = 9 years
Therefore,
A = 24800(1 - 0.04)^9
A = 24800(0.96)^9
A = 17175
Answer:
see explanation
Step-by-step explanation:
The first multiplier is the number of terms being added.
The second multiplier is one more than the first multiplier, that is
2 + 4 + 6 + 8 + 10 ← has 5 terms being added and 6 is one more than 5, thus
2 + 4 + 6 + 8 + 10 = 5 × 6
