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katovenus [111]
3 years ago
6

Is P(3,2) and Q(2,3)represent the same point​

Mathematics
1 answer:
nlexa [21]3 years ago
6 0

Answer:no

Step-by-step explanation:

Because on a graph (2,3) means that the point is two along and three up while (3,2) means it is 3 along and two up.

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What is the slope of the line passing through the points (0,0),(1/3,7/3)?
umka21 [38]
(0,0)(1/3,7/3)

slope = (7/3 - 0) / (1/3 - 0) = (7/3) / (1/3) = 7/3 * 3 = 21/3 = 7 <==
8 0
3 years ago
find the equations of the tangents to the curve y= x(x-1)(x+2) at the points where the curve cuts the x axis
antoniya [11.8K]

First of all, we compute the points of interest, i.e. the points where the curve cuts the x axis: since the expression is already factored, we have

x(x-1)(x+2) = 0 \iff x=0\ \lor\ x-1=0\ \lor\ x+2=0

Which means that the roots are

x=0\ \lor\ x=1\ \lor\ x=-2

Next, we can expand the function definition:

y = x(x-1)(x+2) = x^3 + x^2 - 2x

In this form, it is much easier to compute the derivative:

y' = 3x^2+2x-2

If we evaluate the derivative in the points of interest, we have

y'(-2) = 6,\quad y'(0)=-2,\quad y'(1)=3

This means that we are looking for the equations of three lines, of which we know a point and the slope. The equation

y-y_0=m(x-x_0)

is what we need. The three lines are:

y-0=6(x+2) \iff y = 6x+12  This is the tangent at x = -2

y-0=-2(x-0) \iff y = -2x  This is the tangent at x = 0

y-0=3(x-1) \iff y = 3x-3  This is the tangent at x = 1

7 0
3 years ago
Pleaseeeee helppppDetermine how many actual fish food boxes fit in the shipping box. Show your work. Find the volume of the ship
Alex Ar [27]

Shipping box is a cube, with units

Fish food is an unitary cube, that means have x,y,z measures the same

Shipping box is a parallelepip box. Rectangular

Volume of shipping box is found by formula

V = X•Y•Z

X = 3ft, Y=3 3/4 ft, Z=3 1/4 ft

then V = (3•3+ 3•3/4)•(3+1/4) = (11 +1/4)• (3+1/4) = 33 + 11/4 + 3/4 + 1/16

V = 33 + 2 + 3/4+ 3/4 +1/16 = 35 + 25/16 = 34+ 9/16

Now, find volume using packing cubes

How many fish food boxes fit

In X direction it fits 3/(1/4) = 12

In Y direction it fits (3+3/4)/(1/4)= 15

In Z direction it fits (3+1/4)/(1/4) = 10

Now then multiply 12x15x10= 1800 fish boxes fit in larger box

3 0
1 year ago
What is the measure of OAC
Lady bird [3.3K]

Answer:

27°

Step-by-step explanation:

  • A tangent meets a radius at 90°
  • Angles in a trainable sum to 180°
  • 180 - 90 - 63 = 27°
4 0
2 years ago
Read 2 more answers
Use the diagram to find the measure of arc. AB and CD and the diameters of the circle F
dybincka [34]

Answer:

11). m(\widehat{DE}) = 90°

12). m(\widehat{AEC}) = 212°  

Step-by-step explanation:

A circle F with AB and CD are the diameters has been given in the figure attached.

11). Since, m(\widehat{AB}) = 180°

    and m(\widehat{AB})=m(\widehat{AD})+m(\widehat{DE})+m(\widehat{BE})

    Therefore, m(\widehat{AD})+m(\widehat{DE})+m(\widehat{BE}) = 180°

    32° + m(\widehat{DE}) + 58° = 180°

    m(\widehat{DE}) = 180° - 90°

                = 90°

12. Since, m(\widehat{AD})=m(\widehat{BC}) = 32°

                 m(\widehat{AEC}) = m(\widehat{AB})+m(\widehat{BC})

                                = 180° + 32°

                                = 212°

7 0
3 years ago
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