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Monica [59]
2 years ago
14

Y=x2+2x+5 Write each function in vertex form.

Mathematics
1 answer:
Law Incorporation [45]2 years ago
3 0
The function in vertex form is y= (x+1)^2+4.
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Four lawn sprinkler heads are fed by a 1.9-cm-diameter pipe. The water comes out of the heads at an angle of 35° above the horiz
klemol [59]

Answer:

Step-by-step explanation:

Given:

Angle, θ = 35°

Vertical distance, Δx = 6 m

Diameter, d = 1.9 cm

= 0.019 m

A.

When the water leaves the sprinkler, it does so at a projectile motion.

Therefore,

Using equation of motion,

(t × Vox) = 2Vo²(sin θ × cos θ)/g

= Δx = 2Vo²(sin 35 × cos 35)/g

Vo² = (6 × 9.8)/(2 × sin 35 × cos 35)

= 62.57

Vo = 7.91 m/s

B.

Area of sprinkler, As = πD²/4

Diameter, D = 3 × 10^-3 m

As = π × (3 × 10^-3)²/4

= 7.069 × 10^-6 m²

V_ = volume rate of the sprinkler

= area, As × velocity, Vo

= (7.069 × 10^-6) × 7.91

= 5.59 × 10^-5 m³/s

Remember,

1 m³ = 1000 liters

= 5.59 × 10^-5 m³/s × 1000 liters/1 m³

= 5.59 × 10^-2 liters/s

= 0.0559 liters/s.

For the 4 sprinklers,

The rate at which volume is flowing in the 4 sprinklers = 4 × 0.0559

= 0.224 liters/s

C.

Area of 1.9 cm pipe, Ap = πD²/4

= π × (0.019)²/4

= 2.84 × 10^-4 m²

Volumetric flowrate of the four sprinklers = 4 × 5.59 × 10^-5 m³/s

= 2.24 × 10^-4 m³/s

Velocity of the water, Vw = volumetric flowrate/area

= 2.24 × 10^-4/2.84 × 10^-4

= 0.787 m/s

7 0
3 years ago
Read 2 more answers
Can someone help me?
choli [55]

Answer:

Step-by-step explanation:

3 0
3 years ago
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ADAEL TRAVELED 100 MILES AT 60 MILES PER HOUR, WHAT TIME DID HE REACH HIS DESTINATION?
Flura [38]

01:40:00 is the time

8 0
3 years ago
The flag of a country contains an isosceles triangle.​ (Recall that an isosceles triangle contains two angles with the same​ mea
wlad13 [49]

Answer:

75 degrees

hope this helps :3

3 0
3 years ago
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What is the equation of this line in standard form?
horsena [70]

Option B 6x-7y = -11 is correct

Step-by-step explanation:

We need to write the equation of the given line in standard form.

The points are (1/2,2) and (3,1)

The equation used is:

y-y_{1}=m(x-x_{1})

where m is the slope.

Finding slope :

m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

x₁= 1/2, y₁=2, x₂=-3, y₂=-1

Putting values:

m=\frac{-1-2}{-3-1/2} \\m=\frac{6}{7}

Now taking point (1/2,2) and s;ope m = 6/7 finding equation:

y-y_{1}=m(x-x_{1})

y-2=\frac{6}{7}(x-\frac{1}{2})\\  7(y-2)=6(x-\frac{1}{2})\\7y-14=6x-3\\7y-6x=-3+14\\7y-6x= 11\\Multiply \,\,with\,\, -1\\-7y+6x=-11\\6x-7y=-11

So, Option B 6x-7y=-11 is correct

Keywords: Standard form of equation

Learn more about Standard form of equation at:

  • brainly.com/question/4097107
  • brainly.com/question/12954015
  • brainly.com/question/1979240

#learnwithBrainly

5 0
3 years ago
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