Answer:
It is x-2y+14=0, because from y=1/2x + 7. You subtract y on both sides of the equation, so there for you would have 1/2x - y + 7 = 0. And from there you would have to get rid of the fraction, so you would multiply by its reciprocal 2/1. Which is how you get x - 2y + 14 = 0.
Step-by-step explanation:
Brainliest please.
Answer:
Step-by-step explanation:
width = w
Length = 2w + 4
Area = 240 sq. cm
length * width = 240
(2w + 4) * w = 240
2w *w + 4*w = 240
2w² + 4w = 240
2w² + 4w -240 = 0
2(w²+2w - 120) = 0
2(w² + 12w - 10w - 10*12)=0
2 (w[w + 12] - 10[w + 12] ) = 0
2 (w + 12) (w-10) = 0
Ignore (w + 12) because measurement wont be in negative value
w - 10 = 0
w = 10
Width = 10 cm
length = 2w + 4 = 2*10 + 4 = 20 + 4
Length = 24 cm
Answer:
n = 6
Step-by-step explanation:
Givens
r = 4
a = 2
Sum = 2730
Equation
Sum = a(1 - r^n)/(1 - r)
Solution
2730 = 2 (1 - 4^n) / (1 - 4) Reduce the denominator
2730 = 2(1 - 4^n)/-3 Multiply both sides by -3
2730*-3 = 2(1 - 4^n) Simplify the left
-8190 = 2(1 - 4^n) Divide by 2
-8190/2 = 1 - 4^n Simplify
-4095 = 1 - 4^n Subtract 1 from both sides.
-4096 = - 4^n Divide by - 1
4096 = 4^n This looks like n is fairly large. You could use logs. Try n = 6.
4^6 does equal 4096 So your answer is 6.
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Let's try it with logs. Ignore this if you don't know how to do this.
log(4096) = log(4)^n
log(4096) = n*log(4) Divide by log 4
log(4096)/log(4) = n
3.6124 / 0.6021 = n
n = 6
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The hint is very helpful. Make sure you can follow it through
Answer:
the big tank can hold 2027.37 m³of water
10 small tanks can be filled
Step-by-step explanation:
r = 11, h = 16
V = (1/3)πr²h
V = (1/3)121π(16)
1936π/3 = 2027.37
2027.37/200 = 10. 136
10 tanks
