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Misha Larkins [42]
2 years ago
3

triangle A is reflected in the line x = 1 to give triangle B. triangle b is reflected int he line y = -2 to give triangle c desc

ribe the single transformation that maps triangle A onto triangle c
Mathematics
1 answer:
Masteriza [31]2 years ago
6 0

Answer:

expand the question well so I can understand

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Find an equation of the largest sphere contained in the cube determined by the planes x = 2, x = 16; y = 4, y = 18; and z = 7, z
Ivahew [28]
The x-coordinate of the center of the sphere is the midpoint of x=2 and x=16, that is (2+16)/2=18/2=9.

The y-coordinate of the center of the sphere is the midpoint of y=4 and y=18, that is (4+18)/2=22/2=11.

The z-coordinate of the center of the sphere is the midpoint of z=7 and z=21, that is (7+21)/2=28/2=14.


We also notice that the side lengths of the cube are:16-2 = 18-4 = 21-7 = 14

Thus, we have a sphere centered at (9, 11, 14) and radius R=14/2=7 units.


The equation of the sphere with radius R and center (x_0, y_0,z_0) is given by:

(x-x_0)^{2}+  (y-y_0)^{2}+  (z-z_0)^{2}= R^{2}

Thus the equation of the largest sphere contained in the box is:

(x-9)^{2}+ (y-11)^{2}+ (z-14)^{2}=7^{2}



7 0
2 years ago
HELP!!!!!A pool company is creating an image for a client that has the look of a 3-D image for a family pool and a similar dog p
icang [17]

Since these pools are similar, they have a scale factor that determines the ratio between each of the sides.

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3 0
2 years ago
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Compute the flux H F of F(x,y) = hxy, x − yi across the boundary of the square given by −1 ≤ x ≤ 1, −1 ≤ y ≤ 1.
Softa [21]

Answer:

4i.

Step-by-step explanation:

To find the flux through the square, we use the divergence theorem for the flux. So Flux of F(x,y) = ∫∫divF(x,y).dA

F(x,y) = hxy,x - yi

div(F(x,y)) = dF(x,y)/dx + dF(x,y)dy = dhxy/dx + d(x - yi)/dy = hy - i

So, ∫∫divF(x,y).dA = ∫∫(hy - i).dA

= ∫∫(hy - i).dxdy

= ∫∫hydxdy - ∫∫idxdy

Since we are integrating along the boundary of the square given by −1 ≤ x ≤ 1, −1 ≤ y ≤ 1, then

∫∫divF(x,y).dA = ∫₋₁¹∫₋₁¹hydxdy - ∫₋₁¹∫₋₁¹idxdy

= h∫₋₁¹{y²/2}¹₋₁dx - i∫₋₁¹[y]₋₁¹dx

= h∫₋₁¹{1²/2 - (-1)/2²}dx - i∫₋₁¹[1 - (-1)]dx

= h∫₋₁¹{1/2 - 1)/2}dx - i∫₋₁¹[1 + 1)]dx

= 0 - i∫₋₁¹2dx

= - 2i[x]₋₁¹

= 2i[1 - (-1)]

= 2i[1 + 1]

= 2i(2)

= 4i  

7 0
2 years ago
A lamp shade has a radius of 9 inches. What is the circumference of the top of the shade? Use 3.14 to approximate pi. Round your
Angelina_Jolie [31]

Answer: Also 57

Step-by-step explanation: You have to round up cause you can't type in decimals.

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Thomas is planning a trip to India. He is currently deciding which cities he would like to visit during his stay. The table belo
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