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Vladimir [108]
3 years ago
14

 K is the midpoint of . if = 3x + 1 and     , find the length of

Mathematics
1 answer:
jarptica [38.1K]3 years ago
4 0
3x + 1 = 1/3x + 9 Multiply through by 3 
<span>9x + 3 = x + 27 Subtract x </span>
<span>8x + 3 = 27 Subtract 3 </span>
<span>8x = 24 </span>
<span>x = 3 </span>

<span>AK = 3*3 + 1 = 10 </span>

<span>AB = 2*AK = 20</span>
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The letter x has two lines of symmetry.
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A large truck has two fuel tanks, each with a capacity of 150 gallons. Tank 1 is half full, and Tank 2 is empty.
12345 [234]

Answer:

1) G(t) = 75 + \frac{23}{4}t\\

2) After 8 minutes delivering fuel the tanks will have 121 gallons of fuel

Step-by-step explanation:

1) For generating the equation we have to take into account that in the tanks there is a initial volume of fuel that corresponds to 75 gallons, as it is stated that tank one is half full. As the capacity for tank 1 is of 150 gallons, half of the tank equals to:

\frac{150}{2} = 75 gallons

Now we have to convert the rate of delivery that is expressed as a mixed number to an improper fraction so:

5\frac{3}{4} = \frac{(5x4)+3}{4} = \frac{23}{4}

Then the pumping rate is of 23/4 gallons per minute, to get how many gallons are in the tank we just need to multiply this rate by the time in minutes, and as there is an initial volume we have to add it, so we have the following equation:

G(t) = 75 + \frac{23}{4}t\\

2) To know how much fuel is in the tank after 8 minutes we have to replace this time in the previous equation so we have

G(t) = 75 + \frac{23}{4}t\\G(8) = 75 + \frac{23}{4}(8)\\G(8) = 75 + 23(2)\\G(8) = 75 + 46\\G(8) = 121 gallons

After 8 minutes delivering fuel the tanks will have 121 gallons of fuel

8 0
3 years ago
Would like some help ples
pogonyaev

Answer:

the answer i estmatied was 43 real answer is 43.1

Step-by-step explanation:

7 0
2 years ago
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If (-3, y) lies on the graph of y = 3-x, then y =<br> 1/27<br> -27<br> 27
Vilka [71]

Answer:

y = 6

Step-by-step explanation:

[] We can plug in our x value of -3, from the coordinate point, and solve for y.

y = 3 - x

y = 3 - (-3)

y = 3 + 3

y = 6

[] We can also graph the equation, and find the point where x = -3

-> See attached

<em>I do not see this option in the answers you have provided, so either I miss interpreted something, or something else got messed up. </em>

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

6 0
2 years ago
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