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3 years ago

The differential equation dy dx equals the quotient of the quantity x minus 2 and y minus 2.

Mathematics

1 answer:

Licemer1 [7]3 years ago

5 0

Answer:

The correct option is (b)

Only II applies.

Step-by-step explanation:

Given

dy/dx = (x - 2)/(y - 2)

We want to check which of the given options is true.

I) produces a slope field with horizontal tangents at y = 2

This is not true

II) produces a slope field with vertical tangents at y = 2

This is true because putting y - 2 = 0, we have dy/dx ---> infinity.

Which is a slope field with vertical tangents at y - 2 = 0 or y = 2.

III) produces a slope field with columns of parallel segments

This is not true.

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Which expression shows 0.95 in expanded form?

raketka [301]

In standard form,it should be 0 +0.9 +0.05

4 0

2 years ago

Point G is the centroid of triangle ABC. AG = (5x+4) units and GF= (3x-1) units. What is A F?

Vika [28.1K]

<span>Because G is the centroid of the triangle, therefore AG = 2GF
That is, 5x + 4 = 2(3x - 1)
5x + 4 = 6x - 2
4 + 2 = 6x - 5x
6 = x
Therefore AG = 5*6 + 4 = 34
GF = 3*6 - 1 = 17
A.F = AG + GF = 34 + 17 = 51
Answer: 51</span>

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2 years ago

Read 2 more answers

6 people equally share bill rs 98.10 how

AnnZ [28]

Answer:

16.35Rs would be paid by everyone.

Step-by-step explanation:

98.10/6

=16.35Rs would be paid by everyone.

Hope it will help you :)

3 0

2 years ago

Kwamee created a coffee blend for his cafe by mixing Kona beans and Fuji beans. Kona beans cost $11 per pound and Fuji beans cos

yKpoI14uk [10]

Let's use K for Kona and F for Fuji. The system of equations has to be a balanced system. For example, you can't mix the number of pounds of beans with the cost for each because pounds and dollars are different and you can only combine like terms...pounds with pounds and dollars with dollars. So let's start with the number of pounds. Since we don't know how much of each he bought we have the 2 unknowns, F and K, but we DO know that he bought 23 pounds total. So the first equation is
K + F = 23
Now let's see what we can do with the dollars. Again, we don't know how much he bought of each kind of coffee, but we do know that Kona beans cost $11 per pound and that Fuji beans cost $7.50 per pound, and we know that he spent a total of $197. So let's set that up:
11K + 7.50F = 197
Those are your 2 equations. It doesn't say you need to solve them, so you're done.

7 0

2 years ago

Please help fast

Vladimir79 [104]

Answer:

B: II, IV, I, III

Step-by-step explanation:

We believe the proof <em>statement — reason</em> pairs need to be ordered as shown below

Point F is a midpoint of Line segment AB Point E is a midpoint of Line segment AC — given

Draw Line segment BE Draw Line segment FC — by Construction

Point G is the point of intersection between Line segment BE and Line segment FC — Intersecting Lines Postulate

Draw Line segment AG — by Construction

Point D is the point of intersection between Line segment AG and Line segment BC — Intersecting Lines Postulate

Point H lies on Line segment AG such that Line segment AG ≅ Line segment GH — by Construction

II Line segment FG is parallel to line segment BH and Line segment GE is parallel to line segment HC — Midsegment Theorem

IV Line segment GC is parallel to line segment BH and Line segment BG is parallel to line segment HC — Substitution

I BGCH is a parallelogram — Properties of a Parallelogram (opposite sides are parallel)

III Line segment BD ≅ Line segment DC — Properties of a Parallelogram (diagonals bisect each other)

Line segment AD is a median Definition of a Median

3 0

3 years ago