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3 years ago

PLS PLS PLS PLS HURRRRRRRRRYYYYYYYYYY

Mathematics

2 answers:

vovangra [49]3 years ago

8 0

A. first you can translate the lines 4 squares down.

then reflect the figure on th y line.

(attention: the rotation cant be done.)

B. yes they are. although we translated and reflected the figure l, we did not make any kind of change in size

good luck

VARVARA [1.3K]3 years ago

3 0

Answer:

Part A: The graph reflected across y-axis and translated 4 units down.

Part B: Yes both figures are congruent.

Step-by-step explanation:

Part A:

From the given figure it is clear that the vertices of preimage are A(-4,4), B(-2,2), C(-2,-1) and D(-4,1).

The vertices of image are A'(4,0), B'(2,-2), C'(2,-5) and D'(4,-4).

The relation between preimage and image is defined by the rule

$(x,y)\rightarrow (-x,y-4)$

The graph reflected across y-axis, so

$(x,y)\rightarrow (-x,y)$

then translated 4 units down.

$(x,y)\rightarrow (-x,y-4)$

Therefore the graph of figure ABCD reflected across y-axis and translated 4 units down to get A'B'C'D'.

Part B:

Reflection and translation are rigid transformation. It means the size and shape of the image is same after reflection and translation.

Rigid transformation always produce congruent figures.

Since figure ABCD reflected across y-axis and translated 4 units down to get A'B'C'D', therefore

$ABCD\cong A'B'C'D'$

Yes both figures are congruent.

You might be interested in

An individual repeatedly attempts to pass a driving test. Suppose that the probability of passing the test with each attempt is

vladimir1956 [14]

Answer:

a) Our random variable X="number of tests taken until the individual passes" follows a geomteric distribution with probability of success p=0.25

For this case the probability mass function would be given by:

$P(X= k) = (1-p)^{k-1} p , k = 1,2,3,...$

b) $P(X \leq 3) = P(X=1) +P(X=2) +P(X=3)$

$P(X= 1) = (1-0.25)^{1-1} *0.25 = 0.25$

$P(X= 2) = (1-0.25)^{2-1} *0.25 = 0.1875$

$P(X= 3) = (1-0.25)^{3-1} *0.25 = 0.1406$

And adding the values we got:

$P(X \leq 3) =0.25+0.1875+0.1406=0.578$

c) $P(X \geq 5) = 1-P(X$

And we can find the individual probabilities:

$P(X= 1) = (1-0.25)^{1-1} *0.25 = 0.25$

$P(X= 2) = (1-0.25)^{2-1} *0.25 = 0.1875$

$P(X= 3) = (1-0.25)^{3-1} *0.25 = 0.1406$

$P(X= 4) = (1-0.25)^{4-1} *0.25 = 0.1055$

$P(X \geq 5) = 1-[0.25+0.1875+0.1406+0.1055]= 0.316$

Step-by-step explanation:

Previous concepts

The geometric distribution represents "the number of failures before you get a success in a series of Bernoulli trials. This discrete probability distribution is represented by the probability density function:"

$P(X=x)=(1-p)^{x-1} p$

Let X the random variable that measures the number of trials until the first success, we know that X follows this distribution:

$X\sim Geo (1-p)$

Part a

Our random variable X="number of tests taken until the individual passes" follows a geomteric distribution with probability of success p=0.25

For this case the probability mass function would be given by:

$P(X= k) = (1-p)^{k-1} p , k = 1,2,3,...$

Part b

We want this probability:

$P(X \leq 3) = P(X=1) +P(X=2) +P(X=3)$

We find the individual probabilities like this:

$P(X= 1) = (1-0.25)^{1-1} *0.25 = 0.25$

$P(X= 2) = (1-0.25)^{2-1} *0.25 = 0.1875$

$P(X= 3) = (1-0.25)^{3-1} *0.25 = 0.1406$

And adding the values we got:

$P(X \leq 3) =0.25+0.1875+0.1406=0.578$

Part c

For this case we want this probability:

$P(X \geq 5)$

And we can use the complement rule like this:

$P(X \geq 5) = 1-P(X$

And we can find the individual probabilities:

$P(X= 1) = (1-0.25)^{1-1} *0.25 = 0.25$

$P(X= 2) = (1-0.25)^{2-1} *0.25 = 0.1875$

$P(X= 3) = (1-0.25)^{3-1} *0.25 = 0.1406$

$P(X= 4) = (1-0.25)^{4-1} *0.25 = 0.1055$

$P(X \geq 5) = 1-[0.25+0.1875+0.1406+0.1055]= 0.316$

3 0

3 years ago

PLEASE HELP!!!! <br> Solve the system of equation. Write the solution as a coordinate point.

Dovator [93]

We can just substitute y = 4x+1 in the second equation.

$6x-2(4x+1)=-3\\6x-8x-2=-3\\6x-8x-2+3=0\\-2x+1=0\\-2x=-1\\x=\frac{1}{2}$

We know the value of x, substitute x in any equations to get the y-value.

$4x+1=y\\4(\frac{1}{2})+1=y\\2+1=y\\3=y$

The value of y is 3 and the value of x is 0.5 aka 1/2

Since you want the solution as a point then It's below here.

5 0

2 years ago

Can someone please help me figure this out, thanks!

AURORKA [14]

Answer:

The set of numbers that could not represent the three sides of a right triangle are;

{9, 24, 26}

Step-by-step explanation:

According to Pythagoras's theorem, when the lengths of the three sides of a right triangle includes two legs, 'x', and 'y', and the hypotenuse side 'r', we have;

r² = x² + y²

Where;

r > x, r > y

Therefore, analyzing the options using the relationship between the numbers forming the three sides of a right triangle, we have;

Set 1;

95² = 76² + 57², therefore, set 1 represents the three sides of a right triangle

Set 2;

82² = 80² + 18², therefore, set 2 represents the three sides of a right triangle

Set 3;

26² = 24² + 9², therefore, set 3 could not represent the three sides of a right triangle

Set 4;

39² = 36² + 15², therefore, set 4 represents the three sides of a right triangle

4 0

3 years ago

PLS ANSWER CHANCE TO GET BRAINLIEST If the numbers represent prices of shoes, which store does not have any shoes less than $20?

irga5000 [103]

B is the answer
B- prices are all higher than 20$ all other of the answer choices are lower than 20$

5 0

3 years ago

This is due tomorrow and I k ow for a fact these are both wrong, someone help

Naya [18.7K]

#1 answer is D and #2 answer is D also

6 0

3 years ago

Read 2 more answers