Solve the system by substitution -4.5x-2y=-12.5 3.25x-y=-0.75
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Answer:
The graph is sketched by considering the integral. The graph is the region bounded by the origin, the line x = 6, the line y = x/6 and the x-axis.
Step-by-step explanation:
We sketch the integral ∫π/40∫6/cos(θ)0f(r,θ)rdrdθ. We consider the inner integral which ranges from r = 0 to r = 6/cosθ. r = 0 is located at the origin and r = 6/cosθ is located on the line x = 6 (since x = rcosθ here x= 6)extends radially outward from the origin. The outer integral ranges from θ = 0 to θ = π/4. This is a line from the origin that intersects the line x = 6 ( r = 6/cosθ) at y = 1 when θ = π/2 . The graph is the region bounded by the origin, the line x = 6, the line y = x/6 and the x-axis.
<span>to write 8 21/40 as a decimal we need to write the fraction where denominator is a power of 10.
the denominator now is 40, when we multiply 40 by 25, we get 1000.
then the denominator would be a power of 10.
lets multiply the fraction 21/40 by 25 </span>
<span> 8 21/40 is a mixed fraction made of 8 wholes and a fraction that is now 525/1000.
when dividing by 1000, the decimal point that is after 525 should move 3 decimal places to the left, then the decimal point comes before 525.
then 21/40 is equal to 0.525. since we have 8 wholes; 8 + 0.525 = 8.525</span>
the denominator now is 40, when we multiply 40 by 25, we get 1000.
then the denominator would be a power of 10.
lets multiply the fraction 21/40 by 25 </span>
<span> 8 21/40 is a mixed fraction made of 8 wholes and a fraction that is now 525/1000.
when dividing by 1000, the decimal point that is after 525 should move 3 decimal places to the left, then the decimal point comes before 525.
then 21/40 is equal to 0.525. since we have 8 wholes; 8 + 0.525 = 8.525</span>