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3 years ago

HELP I WILL GIVE BRAINLEST, 5 STARS, AND THANKS

Mathematics

2 answers:

Minchanka [31]3 years ago

6 0

Answer:

1. 1.8

2. -2.2

3. 1.8

4. -2.2

5. -1.8

6. -1.8

7. 2.2

8. 2.2

Step-by-step explanation:

Hope you get this right! have a wonderful day! =D =P

Marizza181 [45]3 years ago

5 0

Answer:

1. 1.8

2. -2.2

3. 1.8

4. -2.2

5. -1.8

6. -1.8

7. 2.2

8. 2.2

Step-by-step explanation:

1. If you go right that is going up and 1.8 is positive so you go right 1.8

2. If you go down on a vertical number line it is going into the negatives and -2.2 is negative

3. Up on the vertical number line is positive so positive 1.8

4. Left on the horizontal number line is negative so it would be -2.2

5. Left is negative on the horizontal number line so it would be -1.8

6. Down is negative on the vertical number line so it is -1.8

7. Up is positive on the vertical number line so 2.2

8. Right is positive on the horizontal number line so 2.2

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Consider the paraboloid z=x2+y2. The plane 8x−5y+z−2=0 cuts the paraboloid, its intersection being a curve. Find "the natural" p

Jet001 [13]

Answer:

The parametrization of the curve on the surface is

$c(t) = [x(t) , y(t), z(t)] \equiv [\frac{\sqrt{97} }{2} cost - 4 , \frac{\sqrt{97} }{2} sint + \frac{5}{2} , 5\frac{\sqrt{97} }{2} sint -8 \frac{\sqrt{97} }{2} cost +\frac{93}{2} ]$

Where

$x = \frac{\sqrt{97} }{2} cost - 4$

$y = \frac{\sqrt{97} }{2} sint + \frac{5}{2}$

$z = 5\frac{\sqrt{97} }{2} sint -8 \frac{\sqrt{97} }{2} cost +\frac{93}{2}$

Step-by-step explanation:

From the question we are told that

The equation for the paraboloid is $z = x^2 + y^2$

The equation of the plane is $8x - 5y + z -2 = 0$

Form the equation of the plane we have that

$z = 5y -8x +2$

$x^2 + y^2 = 5y -8x +2$

=> $x^2 + 8x + y^2 -5y = 2$

Using completing the square method to evaluate the quadratic equation we have

$(x + 4)^2 + (y - \frac{5}{2} )^2 = 2 +(\frac{5}{2} )^2 + 4^2$

$(x + 4)^2 + (y - \frac{5}{2} )^2 = \frac{97}{4}$

$(x + 4)^2 + (y - \frac{5}{2} )^2 = ( \frac{\sqrt{97} }{2} )^2$

representing the above equation in parametric form

$(x + 4) = \frac{\sqrt{97} }{2} cost$ , $(y -\frac{5}{2} ) = \frac{\sqrt{97} }{2} sin t$

$x = \frac{\sqrt{97} }{2} cost - 4$

$y = \frac{\sqrt{97} }{2} sint + \frac{5}{2}$

So from $z = 5y -8x +2$

$z = 5[\frac{\sqrt{97} }{2} sint + \frac{5}{2}] -8[ \frac{\sqrt{97} }{2} cost - 4] +2$

$z = 5\frac{\sqrt{97} }{2} sint + \frac{25}{2} -8 \frac{\sqrt{97} }{2} cost + 32 +2$

$z = 5\frac{\sqrt{97} }{2} sint -8 \frac{\sqrt{97} }{2} cost +\frac{93}{2}$

Generally the parametrization of the curve on the surface is mathematically represented as

$c(t) = [x(t) , y(t), z(t)] \equiv [\frac{\sqrt{97} }{2} cost - 4 , \frac{\sqrt{97} }{2} sint + \frac{5}{2} , 5\frac{\sqrt{97} }{2} sint -8 \frac{\sqrt{97} }{2} cost +\frac{93}{2} ]$

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Billy was counting the number of wheels and bike seats at the playground. He saw tricycles and bicycles. He counted 79 wheels an

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Nikki and her four friends had lunch at their favorite restaurant. The total bill was $29.00, and they wanted to leave a 15% tip

Butoxors [25]

Answer:

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Step-by-step explanation:

Knowns:

Total bill: $29.00

Tip of 15% ($29.00)

Work:

$29.00 (0.15) = $4.35 tip

Hope this helps!

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3 years ago

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saw5 [17]

Here is your answer

Both

a) /_D

c) /_ADB

are correct

REASON:

/_ADB represents an angle between AD and BD which is marked in the question.

/_D represents the point where the two lines or rays have a common point, i.e.D

[However writing a single letter to represent an angle is not completely correct. But when there is only one angle represented through the point then writing a single letter is correct

i.e. /_D is correct ]

HOPE IT IS USEFUL

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Afina-wow [57]

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