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3 years ago

Which type of transformation is described by (x, y) -> + (x + 3, y — 2)?

Mathematics

1 answer:

creativ13 [48]3 years ago

4 0

Answer:

(x, y) → (x+3, y-2) means Translation 3 units left and 2 units down.

Step-by-step explanation:

Given the rule of transformation:

(x, y) → (x+3, y-2)

If we move horizontally 3 units to the right, 3 is added to the x-coordinate of any given point, and then 2 units down.

In other words,

(x, y) → (x+3, y-2) means Translation 3 units left and 2 units down.

For example,

Let say if we have the point A(4, 5)

Using the translation rule:

(x, y) → (x+3, y-2)

A(4, 5) → A'(4 + 3, 5 - 2) → A'(7, 3)

Therefore, the new position of A(4, 5) after translating 3 units left and 2 units down would be: A'(7, 3)

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Find the value of x cubed minus 2x squared minus 7x + 5 of x=1/2-√3

Svetach [21]

9514 1404 393

Answer:

Step-by-step explanation:

For f(x) = x^3 -2x^2 -7x +5 and x=1/(2-√3), we have ...

f(x) = ((x -2)x -7)x +5

and ...

x = 1/(2-√3) = (2+√3)/(2^2 -3) = 2+√3

Then ...

f(2+√3) = ((2 +√3 -2)(2 +√3) -7)(2 +√3) +5

= (3+2√3 -7)(2+√3) +5

= 2(√3 -2)(√3 +2) +5 = 2(3 -4) +5 = -2 +5

f(1/(2 -√3)) = 3

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If you really mean x = (1/2) -√3, then f(x) = (42√3 -3)/8.

6 0

3 years ago

A pendant is formed using a cylinder and cone. Once assembled, as shown below, the pendant is painted. How many square millimete

solmaris [256]

Surface area of cylinder is given by area of circle + area of the rectangle that curved around the cylinder

Area of the base of the cylinder = $\pi r^{2} = 8^{2} \pi =64 \pi$
Area of the cylinder 'wall' = width × length = $12$ × $2r \pi$ = $12$ × $16 \pi$ = $192 \pi$

Note that the wall of the cylinder is in the shape of a rectangle. The width of the rectangle is the height of the cylinder. The length of the rectangle is the circumference of the circle base.

Surface area of cone is given by $\pirl$ where $l$ is the slanted height of the cone

SA of cone = $\pi (8)(10)=80 \pi$

Hence total painted surface area is $80 \pi +192 \pi +64 \pi =336 \pi$

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3 years ago

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Find the equation of the line using the exact numbers

Anit [1.1K]

Answer:

y = -0.25x - 6

Step-by-step explanation:

You can either just read off the slope m = -0.25 and the intersection with the vertical n = -6 or you form a system of equations from points you choose on the graph. For example:

(0,-6);(4,-7)

The general equation for a line:

y = m*x + n

The two points on the graph form a system of two equations:

1. -6 = m*0 + n

2. -7 = m*4 + n

You can read off n right away fro equation 1:

n = -6

Plugging n into equation 2:

-7 = m*4 - 6 => -1 = m*4 => m = -1/4

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3 years ago

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The base of a triangle is represented by (2x − 6) and the height by (x − 2). Which polynomial expression BEST represents the are

BabaBlast [244]

Area of a triangle= $\frac{1}{2} *base*height$
A= $\frac{1}{2} *(2x-6)*(x-2)$
A= $\frac{1}{2} ( 2x^{2} -4x-6x+12)$
A= $x^{2} -2x-3x+6$
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andriy [413]

Eu nu știu engleză fiule

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