Using the given endpoint R (8,0)and the midpoint M (4,-5) , the other endpoint S is (0,-10)
Explanation :
Use the given endpoint R and the midpoint M of segment RS
R (8, 0 ) and M (4, -5 )
Let 'S' be (x2,y2)
Apply the midpoint formula
Endpoint R is (x1,y1) that is (8,0)
Substitute the values and make it equal to M(4,-5)
So other endpoint S is (0,-10)
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Answer:
4, 8, 16, 32, 64
Step-by-step explanation:
The nth term of a geometric sequence is
= a₁
Given
a₇ = 256 and a₁₀ = 2048 , then
a₁ = 256 → (1)
a₁ = 2048 → (2)
Divide (2) by (1)
=
r³ = 8 ( take the cube root of both sides )
r = = 2
Substitute r = 2 into (1)
a₁ × = 256
a₁ × 64 = 256 ( divide both sides by 64 )
a₁ = 4
Then
a₁ = 4
a₂ = 2a₁ = 2 × 4 = 8
a₃ = 2a₂ = 2 × 8 = 16
a₄ = 2a₃ = 2 × 16 = 32
a₅ = 2a₄ = 2 × 32 = 64
Answer:
Step-by-step explanation:
The matrix system for the linear equations: x + 2y = 8, 2x + 6y = 9
To get the coefficient of x and y, the inverse of the first matrix (let the first matrix be A) must be known.
= (1 / determinant of A) x Adjoint of A
the determinant of A = (1 x 6) - (2 x 2) = 6 - 4 = 2
Adjoint of A =
=
=