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MaRussiya [10]
3 years ago
10

What is the intersection of y=7 and y=1\2x+6

Mathematics
1 answer:
kotegsom [21]3 years ago
8 0
Y=7 is just a straight horizonal line that is perpendicular to the y axis at 7

and y=1/2x+6, is in y=mx+b form where m=slope and b=yintercept so

to find the intersection, yo just find when both sentances are correct so

y=7
subsitute that into y=1/2x+6

7=1/2x+6
subtract 6 from both sides
1=1/2x
multiply both sides by 2
2=x

so the point (2,7) is the intersection
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Answer:

2 times as large

Step-by-step explanation:

For the original cylinder, we can say that the volume of a cylinder is equal to V= πr²h. For this cylinder, we can say that  V = π * radius² * height. The radius is equal to 1/2 of the diameter, so the original radius is 8/2 = 4. Therefore, the volume of the original cylinder is V = π * radius² * height = π * 4² * 8 = π * 16 * 8 = π * 128

For the new cylinder, "twice as wide" means that the diameter is twice as big as the original one. Half the height means that the height is halved. The new diameter is therefore 8 * 2 = 16 (meaning that the new radius is 16/2=8) while the new height is 8/2 = 4. The new volume is thus

V = π * radius² * height = π * 8² * 4 = π * 64 * 4 = π * 256

To see how much larger the new tank volume is, we can divide (new tank volume) by (old tank volume), resulting in

π * 256 / (π *128) = 2

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If n(p)=20, n(Q)=30 and n (PUQ)=40<br><br>then<br><br>Draw a veen diagram of the above information.
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6 0
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Plz help i can’t figure it out
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Answer:

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