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oksano4ka [1.4K]
3 years ago
10

Triangle ABC with vertices A(4, −6), B(2, −8), and C(−10, 4) is dilated by a scale factor of 2 to obtain triangle A′B′C′. Which

statement best describes triangle A′B′C′? It is similar to triangle ABC and has coordinates A′(2, −3), B′(1, −4), and C′(−5, 2). It is similar to triangle ABC and has coordinates A′(8, −12), B′(4, −16), and C′(−20, 8). It is congruent to triangle ABC and has coordinates A′(2, −3), B′(1, −4), and C′(−5, 2). It is congruent to triangle ABC and has coordinates A′(8, −12), B′(4, −16), and C′(−20, 8).
Mathematics
1 answer:
alina1380 [7]3 years ago
7 0

Answer: Similar with coordinates A’ (8, -12), B’ (4, -16) and C’ (-20, 8)

Step-by-step explanation:

Since the size of the triangle changes they cannot be congruent.

Assuming the centre of dilation (enlargement) is (0, 0) then just double the coordinates of each point

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The expression x^2 - 10x + 24 is equivalent to
lions [1.4K]

Answer:

(x−6)(x−4)

Step-by-step explanation:

x^2 - 10x + 24

{x}^{2} −6x−4x+24

x(x−6)−4(x−6)

(x−6)(x−4)

<h3>Hope it is helpful...</h3>
8 0
3 years ago
Read 2 more answers
Considere os logaritmos log3=0,477 , log4=0,602 e / log5=0.699 logaritmos determine o valor de log5 12.
anygoal [31]

Given that :

log3=0.477 , log4=0.602  and log5=0.699

Now , as you know that

\log\text{MN}=\log M +\log N

We have to find the value of

\log_{5}12

So,\log_{5}12=\frac{\log12}{ \log5}             

                         = \frac{\log 4+\log 3}{\log 5}\\

Now Putting the values of log3, log4 and log5 in the above expression

\log_{5}12=\frac{0.477 +0.602}{0.699}

                    =1.0079/0.699

                     =1.5436..

                     =1.544 (approx)

So, the value of \log_{5}12 is 1.544(approx).



5 0
3 years ago
The average amount of money spent for lunch per person in the college cafeteria is $6.35 and the standard deviation is $2.31. Su
alexdok [17]

Answer:

(6.35, 5.34)

(6.35, 0.99)

0.10253

0.3984

Step-by-step explanation:

Given that :

μ = 6.35

σ = 2.31

n = 41

What is the distribution of X?X ~ N(,)

X :

Mean of distribution = μ= 6.35

The variance = σ^2 = 2.31^2 = 5.3361 = 5.34

X ~ N = (6.35, 5.34)

What is the distribution of x¯? x¯ ~ N(,)

The mean = μ = 6.35

The standard deviation of the mean = σ/sqrt(n) = 6.35/sqrt(41) = 0.9917 = 0.99

X ~N = (6.35, 0.99)

find the probability that this patron's lunch cost is between $6.1605 and $6.757.

P(6.1605 < x < 6.757)

Obtain the standardized scores:

Z = (x - μ) / σ ; (6.1605 - 6.35) / 2.31 = - 0.082

P(Z < - 0.082) = 0.46732 (Z probability calculator)

(6.757 - 6.35) / 2.31 = 0.176

P(Z < 0.176) = 0.56985 (Z probability calculator)

P(Z < 0.176) -P(Z < - 0.082)

0.56985 - 0.46732 = 0.10253

For the group of 17 patrons, find the probability that the average lunch cost is between $6.1605 and $6.757.

P(6.1605 < x < 6.757) ; n = 17

Obtain the standardized scores:

Z = (x - μ) / σ/sqrt(n) ; (6.1605 - 6.35) / 2.31/sqrt(17) = - 0.338

P(Z < - 0.338) = 0.36768 (Z probability calculator)

(6.757 - 6.35) / 2.31/sqrt(17) = 0.726

P(Z < 0.726) = 0.76608 (Z probability calculator)

P(Z < 0.726) -P(Z < - 0.338)

0.76608 - 0.36768 = 0.3984

8 0
3 years ago
Write the expression as a product:<br><br> 1–(2x–1)^2
postnew [5]

Answer:

1- ( { 2 x - 1)}^{2} =  4x (1  - x )

Step-by-step explanation:

We want to to rewrite

1 - ( { 2 x - 1)}^{2}

Use difference of two squares to get:

{a}^{2}  -  {b}^{2}  = (a + b)(a - b)

This implies that:

{1}^{2} - ( { 2 x - 1)}^{2}  = (1 +( 2x - 1))(1  - (2x  - 1))

{1}^{2} - ( { 2 x - 1)}^{2}  = (1 + 2x - 1)(1  - 2x   + 1)

This finally simplifies to:

{1}^{2} - ( { 2 x - 1)}^{2}  =  2x (2  - 2x )

Therefore the required product is

2x (2  - 2x ) = 4x(1 - x)

3 0
3 years ago
I need help on answering this question.​
-Dominant- [34]

Answer:

The value of m is 3 because (5^4)^3 = 244140625 and 5^12 = 244140625 also, this means they are both equal to each other. Another way of getting the correct answer is just seeing what times 4 will get you 12, as you can see

3 x 4 = 12.

So yea the answer is M = 3.

Step-by-step explanation:

5 0
3 years ago
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