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Effectus [21]
3 years ago
11

How many real does this 2x^2-5x+3=0 equation have

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
3 0
2x^{2}-5x+3=0

x=\frac{-(-5)+ \sqrt{(-5) ^{2}-4*2*3 } }{2*2}

x=3/2;x=1


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Suppose a football is kicked with an initial velocity of 82 ft/sec., at an angle of
satela [25.4K]

Answer:

The position P is:

P = 87\^x + 75\^y ft     <u><em> Remember that the position is a vector. Observe the attached image</em></u>

Step-by-step explanation:

The equation that describes the height as a function of time of an object that moves in a parabolic trajectory with an initial velocity s_0 is:

y(t) = y_0 + s_0t -16t ^ 2

Where y_0 is the initial height = 0 for this case

We know that the initial velocity is:

82 ft/sec at an angle of 58 ° with respect to the ground.

So:

s_0 = 82sin(58\°) ft/sec

s_0 = 69.54 ft/sec

Thus

y(t) = 69.54t -16t ^ 2

The height after 2 sec is:

y(2) = 69.54 (2) -16 (2) ^ 2

y(2) = 75\ ft

Then the equation that describes the horizontal position of the ball is

X(t) = X_0 + s_0t

Where

X_ 0 = 0 for this case

s_0 = 82cos(58\°) ft / sec

s_0 = 43.45 ft/sec

So

X(t) = 43.45t

After 2 seconds the horizontal distance reached by the ball is:

X (2) = 43.45(2)\\\\X (2) = 87\ ft

Finally the vector position P is:

P = 87\^x + 75\^y ft

6 0
3 years ago
I drove 380 miles using 14 gallons of gas. At this rate, how many gallons of gas would I need to drive 418 miles?
ser-zykov [4K]

Answer:

15.4 gallons .

Step-by-step explanation:

The rate of gas used  = 380/14 = 27.14 gallons per gallon.

So for each gallon used  you drive 27.14 miles.

So number of gallons used when travelling 418 miles = 418/27.14

= 15.4 gallons .


8 0
3 years ago
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Answer fully show your work....I’m confused and lost. I think it’s point slope form but idk...
padilas [110]

You are correct. It is written in point slope form

5 0
3 years ago
What is U over 72=2 over 4
Mademuasel [1]
U/72 = 2/4

means u/72 = 0.5

therefore u = 72*0.5

which equals 36
8 0
4 years ago
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A circle has a diameter of 4.8 cm. Find, rounded to 2 decimal places, its area and perimeter
jek_recluse [69]

Answer: Perimeter → 15.07964474

Area→ 18.09557368

6 0
3 years ago
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