Answer:
3.657 and 7.657 to the nearest thousandth.
Step-by-step explanation:
x - y = 4
x^2 + y^2 = 72
From equation 1
x = y + 4 so
(y + 4)^2 + y^2 = 72
y^2 + 8y + 16 + y^2 - 72 = 0
2y^2 + 8y - 56 = 0
y^2 + 4y - 28 = 0
y = 3.657.
so x = 7.657.
The length of a segment, given the extremities, is:
√[(x₂ - x₁)² + (y₂ - y₁)²]
Therefore:
RS = √[(3-1)² + (1-3)²] = √(4+4) = √8
RT = √[(5-1)² + (2-3)²] = √(16+1) = √17
ST = √[(5-3)² + (2-1)²] = √(4+1) = √5
Since the lengths are all different, the triangle is scalene.
Answer:
Step-by-step explanation:
r is the common ratio.
Third term minus first term is 48.
a₃ - a₁ = 48
a₃ = a₁r²
a₁r² - a₁ = 48
a₁(r²-1) = 48
r²-1 = 48/a₁
Fourth term minus second term is 144.
a₄ - a₂ = 144
a₂ = a₁r
a₄ = a₁r³
a₁r³ - a₁r = 144
a₁r(r²-1) = 144
r²-1 = 144/(a₁r)
48/a₁ = 144/(a₁r)
r = 3
:::::
r²-1 = 48/a₁
a₁ = 6
:::::
a₆ = a₁r⁵ = 1458
I am not sure, but I believe the answer is either 49 or 57. You could either subtract 33 from 90 or 41 from 90
