Answer:A
Step-by-step explanation:
just took it
Answer:
x = - 36
Step-by-step explanation:
Given that y varies inversely as x then the equation relating them is
y = 
← k is the constant of variation
To find k use the condition y = 27 when x = 12, then
k = yx = 27 × 12 = 324, thus
y = 
← is the equation of variation
When y = - 9, then
- 9 = ( multiply both sides by x )
- 9x = 324 ( divide both sides by - 9 )
x = - 36
Answer: 4
Step-by-step explanation:
u+3=7
u=7-3
u=4
Answer:
the length of ST = 3.6 to the nearest tenth
Step-by-step explanation:
Points on the Cartesian are written as (x, y)
Given points S(-4, -2) and T(-1, 0)
The distance between these two points is given by the formula
ST = √[(x₂-x₁)² + (y₂-y₁)²]
x₂ = -4
x₁ = -1
y₂ = -2
y₁ = 0
ST = √{[-4 - (-1)]² + [-2 - 0]²}
ST = √[(-4 + 1)² + (-2)²]
ST = √(-3²+4)
ST = √(9 + 4)
ST = √13
ST = 3.6 to the nearest tenth
Recall that
sin²(<em>x</em>) = (1 - cos(2<em>x</em>))/2
so that
sin²(7<em>π</em>/8) = (1 - cos(7<em>π</em>/4))/2
sin²(5<em>π</em>/8) = (1 - cos(5<em>π</em>/4))/2
Then
sin²(7<em>π</em>/8) + sin²(5<em>π</em>/8) = (1 - cos(7<em>π</em>/4) + 1 - cos(5<em>π</em>/4))/2
… = 1 - 1/2 (cos(7<em>π</em>/4) + cos(5<em>π</em>/4))
… = 1 - 1/2 (1/√2 - 1/√2)
… = 1
