Answer:
19.2
Step-by-step explanation:
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Step-by-step Answer:
What is the solution to the system of equations?
y = –3x – 2 ..............(1)
5x + 2y = 15..............(2)
Substitute (1) in (2) to give
5x + 2(-3x-2) = 15
5x-6x-4 = 15
-x-4=15
solve for x:
-4-15 = x
x=-19
Now substitute x=-19 into equation (1)
y = -3x-2 = 57-2 = 55
Therefore the solution is (-19, 55)
The value of a2+b2 = 0.05
The value of a3+b3 = 41.73
Concept: (a+b)2 = a2+b2+2ab
(a-b)2 = a2+b2-2ab
(a+b)3 = a3+b3+3a2b+3ab2
(a-b)3 = a3-b3-3a2b+3ab2
(I) a²+b²=(1/7-4✓3)²+(1/7+4✓3)²
⇒ ( 1/49 - 48) +(1/49 + 48)=(1-2352/49) + (1+2353/49)
⇒ -47.97 +48.02= 0.05
(ii) a³+b³=(1/7-4✓3)³+(1/7+4✓3)³
⇒(-6.78)³ +(7.07)³
⇒-311.66 +353.39= 41.73
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Answer:
Step-by-step explanation:
Given that:
The radius of a right cylinder is given by √(t+6) and its height is 1/6√t;
The volume of a given circular cylinder is:
