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3 years ago

Is transformation an isometry ?

1 answer:

8 0

A transformation of the plane is an isometry if, for all points X and Y, the distance between the image points X' and Y' equals the distance between X and Y. In other words, an isometry is a transformation which preserves distance

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A board of length 7 divided by the quantity x minus 2 end of quantity meters was cut into two pieces. If one piece is 3 divided

bulgar [2K]

Answer:

Length of other board $=\frac{4x+20}{x^{2} -4}$ metres

Step-by-step explanation:

Given: Length of board = $\frac{7}{x-2}$ metres

Length of board was divided into two.

Length of one piece = $\frac{3}{x+2}$ metres

Let $l$ = length of the other board

Length of the other board = Length of board - Length of one piece

So, $l=\frac{7}{x-2}-\frac{3}{x+2}$

$l=\frac{7(x+2)-3(x-2)}{(x-2)(x+2)} \\\\l=\frac{7x+14-3x+6}{x^{2} -4} \\\\l=\frac{4x+20}{x^{2} -4}$

Thus, length of the other board $=\frac{4x+20}{x^{2} -4}$ metres

4 0

3 years ago

Tri scored a total of 31 points in the basketball game, and he scored p points in the second half of the game. Write an expressi

kirill115 [55]

Answer:

If he scored x points in the first half, then x + p = 31

7 0

2 years ago

Read 2 more answers

Use the numbers 12 through 17. Place them in the connected circles so that the numbers along each line have a sum of 50. Do this

Furkat [3]

Answer:

[13, 15, 17, 16, 12]

[16, 12, 17, 13, 15]

[16, 15, 14, 13, 12]

[17, 13, 15, 12, 14]

Step-by-step explanation:

Writing a Python code, I got the answers given, reading from left to right to down. For example, for [13, 15, 17, 16, 12], 13 is the top left circle, 15 is the middle right, 17 is the far right, 16 is the bottom left, and 12 is the bottom right

6 0

2 years ago

Find an equation of the line satisfying the given conditions Through (6,4); perpendicular to 3X + 5Y =38

Katyanochek1 [597]

To answer this, we will need to know:

• The slope of the equation we are trying to get
• The point it passes through using the

First, we will need to find the slope of this equation. To find this, we must simplify the equation $3x+5y=38$ into $y=mx+b$ form. Lets do it!

$3x+5y=38$
= $5y = -3x+38$ (Subtract 3x from both sides)
= $y= -\frac{3}{5}x+ \frac{38}{5}$ (Divide both sides by 5)

The slope of a line perpendicular would have to multiply with the equation we just changed to equal -1. In other words, it would have to equal the negative reciprocal.

The negative reciprocal of the line given is $\frac{5}{3}$ .

Now that we know the slope, we have to find out the rest of the equation using the slope formula, which is:

$\frac{y-y _{1} }{x- x_{1} }=m$

Substituting values, we find that:

$\frac{y-4}{x-6}= \frac{5}{3}$

By simplifying this equation to slope-intercept form (By cross-multiplying then simplifying), we then get that:

$y= \frac{5}{3}x-6$ , which is our final answer.

Thank you, and I wish you luck.

8 0

3 years ago

Read 2 more answers

Create 2 lines thatare parallel to 8x + 2y = 7?

Alinara [238K]

d1 = ax + by + c = 0 and d2= mx + ky + f = 0

if they are parallel :

$\frac{a}{m} = \frac{b}{k} \neq \frac{c}{f}$

8x + 2y = 7

8x + 2y - 7 = 0

8x + 2y -9 = 0
4x + y -6 = 0
16x + 4y - 19 = 0

you can create more whatever you want =)

Hope this helps ^-^

7 0

3 years ago