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77julia77 [94]
2 years ago
13

What kind of symmetry does this figure have?

Mathematics
2 answers:
nalin [4]2 years ago
8 0
Both Line and point
frosja888 [35]2 years ago
3 0
Both line and point.
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Find out if the 3 positions are on the same line or not (3,2,0) (1, -1,2) (5,5, 2)
sattari [20]

Answer:

The three positions are not on the same line.

Step-by-step explanation:

We have three points: A:(3,2,0),  B:(1,-1,2) and C:(5,5,2).

Let's build a vector that goes from one point to another; that vector will be the director of a line (if we draw a vector that goes from A to B, that vector will be the direction of the line that pass by A and B because it does not change). In order to build that vector, let's subtract B from A:

A-B=(3,2,0)-(1,-1,2)=(2,3,-2)

The equation of a line is:

p=p_0+rt

Where p is every singular point of the line, p_0 is a particular point of the line (any that we are sure that it is on the line), r is the director vector and t is the independent variable.

Now we have the director vector: (2,3,-2), and we can verify that A and B are on the line:

p=p_0+(2,3,-2)t

Because there is a value for t that satisfies both A and B: If we do p_0=(3,2,0) and t=0, we are going to obtain the point p=A; and if we do t=-1, we are going to obtain p=B. Let's see that:

p=(3,2,0)+(2,3,-2)*0=(3,2,0)\\p=A\\p=(3,2,0)+(2,3,-2)*-1=(1,-1,2)\\p=B\\

If C is also in the same line, C must accomplish the equation: p=(3,2,0)+(2,3,-2)t, so:

C=(5,5,2)=(3,2,0)+(2,3,-2)t

Let's simplify the equation writing the parametric equation, which is just to write the equation for each dimension:

5=3+2t\\5=2-3t\\2=-2t\\

You can verify that there is not a value of t that satisfies all three equations, so, the point C is not on the same line as A and B; which means that A, B and C are not on the same line.

8 0
3 years ago
Can't figure it out!!
Zanzabum
\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------\\\\
f(x)= \cfrac{1}{x}  \qquad 
\begin{cases}
x_1=2\\
x_2=b
\end{cases}\implies \cfrac{f(b)-f(2)}{b-2}=-\cfrac{1}{10}
\\\\\\
\cfrac{\frac{1}{b}-\frac{1}{2}}{b-2}=-\cfrac{1}{10}\implies 
\cfrac{\frac{2-b}{2b}}{b-2}=-\cfrac{1}{10}\implies \cfrac{2-b}{2b}=-\cfrac{b-2}{10}
\\\\\\


\bf \cfrac{2-b}{2b}=\cfrac{2-b}{10}\implies 20-10b=4b-2b^2\impliedby cross-multiplying
\\\\\\
2b^2-4b-10b+20=0\implies 2b^2-14b+20=0
\\\\\\
b^2-7b+10=0\implies 
(b-2)(b-5)=0\implies b=
\begin{cases}
\boxed{5}\\
2
\end{cases}
8 0
3 years ago
What two numbers add to make twenty and have a difference of four?
lara [203]
The two numbers that add to make twenty and have a difference of 4 are 12 and 8
4 0
3 years ago
Read 2 more answers
John has a job selling souvenirs on a football stadium. He earns $10 per game plus $0.25 dollars for each souvenir he sells. How
Ahat [919]

Answer:

He needs to sell 100 souvenirs

Step-by-step explanation:

We want to know the number of souveniers John has to sell

Let the number of souveniers he sold at the game be s

At a rate of $0.25 per souvenier, the amount earned on souveniers for s souveniers will be:

0.25 \times s =0.25s

Now, if we added this to the amount he earns per game, we will have the total $35 earned for working at one game.

Thus, mathematically:

0.25s + 10 = 35 \\ 0.25s = 35 - 10 \\ 0.25s = 25 \\ s =  \frac{25}{0.25}  \\ s = 100

7 0
2 years ago
A rhino can run at speeds of about 28 miles per hour. What is that speed in feet per second, to the nearest whole number?
mash [69]

28 mph is approximately 41.0666... fps.

This is because 1mph is approximately 1.4666... fps.

4 0
3 years ago
Read 2 more answers
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