Answer:
The answer to your question is:
1) x = 4
2) x = -2
Step-by-step explanation:
a) (x-3)² = x^{2} - 10x +25
x² - 6x + 9 = x² - 10x + 25
10x - 6x = 25 - 9
4x = 16
x = 4
b)
(x+4)³ = x³ + 12x² - 16x
x³ + 3(x²)4 + 3x(16) + 4³= x³ + 12x² - 16x
x³ + 12x² + 48x + 64 = x³ + 12x² - 16x
48x + 64 = 16x
48x - 16x = -64
32 x = -64
x = -64/2
x = -2
Answer:
equals 56
Step-by-step explanation:
<u><em>Answer:</em></u>
152,000
<u><em>Explanation:
</em></u>First, we will need to translate the words into numbers and then we will perform the addition.
<span><u><em>1- translating the words into numbers:</em></u>
ten thousands means 10,000
14 ten thousands means 14 * 10000 = 140000
thousands means 1000
12 thousands means 12000
<u><em>2- Performing the addition:</em></u>
14 ten thousands + 12 thousands
= 140000 + 12000
= 152000
</span>
Hope this helps :)
Answer:
Area of the triangle = 0
Step-by-step explanation:
We are given the vertices of a triangle as: (- 8,4 ), (- 6,6), (- 3,9)
The formula to find the Area of the triangle =
1/2[ x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂)]
Where :
(x₁, y₁) = (- 8,4 )
(x₂, y₂) = (- 6,6)
(x₃, y₃) = (- 3,9)
Area of the triangle = 1/2[-8(6 - 9) + -6(9 - 4) + -3(4 - 6)]
= 1/2[ (-8 × -3) +( -6 × 5) +( -3× -2)]
= 1/2[ 24 - 30 + 6)
= 1/2[ 24 + 6 - 30]
= 1/2 [30 - 30]
=1/2[ 0 ]
= 0
Therefore, the area of triangle whose vertices are (- 8,4 ), (- 6,6) and (- 3,9) is ZERO( = 0 )
