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astraxan [27]
4 years ago
10

Identify the reflection rule on a coordinate plane that verifies that triangle A(-2,3), B(-3,-2), C(-10,0) and triangle A'(2,3),

B'(3,-2), C'(10,0) are congruent when reflected over the y-axis.
A) (x, y) → (-x, -y)

B) (x, y) → (x, -y)

C) (x, y) → (-x, y)

D) the triangles are not congruent

Pleeease answer I need this asap! 15 points!
Mathematics
1 answer:
stich3 [128]4 years ago
4 0

Answer:

D

Step-by-step explanation:

These triangles would be Slided or Translated across a coordinate plane not reflected. :)

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Which is not an equation of the line that passes through the points (1, 1) and (5, 5)?
maria [59]

(1,\ 1)\to x_1=1,\ y_1=1\to x_1=y_1\\\\(5,\ 5)\to x_2=5,\ y_2=5\to x_2=y_2\\\\\text{Therefore we have the equation}\ y=x\\\\\text{subtract y from both sides}\\\\\boxed{x-y=0\to\boxed{B}}\to\boxed{y-x=0\to\boxed{A.}}\\\\Answer:\ C.\ -x-y=0

8 0
3 years ago
The Environmental Protection Agency (EPA) has contracted with your company for equipment to monitor water quality for several la
max2010maxim [7]

Answer:

36.58% probability that one of the devices fail

Step-by-step explanation:

For each device, there are only two possible outcomes. Either it fails, or it does not fail. The probability of a device failling is independent of other devices. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

A total of 15 devices will be used.

This means that n = 15

Assume that each device has a probability of 0.05 of failure during the course of the monitoring period.

This means that p = 0.05

What is the probability that one of the devices fail?

This is P(X = 1)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{15,1}.(0.05)^{1}.(0.95)^{14} = 0.3658

36.58% probability that one of the devices fail

7 0
3 years ago
Plz plz plz plz plz help peep
mezya [45]

Answer:

128

Step-by-step explanation:

{2}^{3}  \times  {4}^{2}  \\  = (2 \times 2 \times 2) \times (4 \times 4) \\  = 8 \times 16 \\  = 128

<h3>Hope it is helpful....</h3>
8 0
3 years ago
Read 2 more answers
Which of the following sequences of transformation is used to obtain figure A’B’C’D’ from ABCD?
weeeeeb [17]

Answer:

Most likely (B)

Step-by-step explanation:

Points of ABCD:

A (3,1)

B (3,4)

C (5,5)

D (5,2)

The algebraic rule for reflecting across the y axis:

(x,y) ---> (-x, y)

Points of ABCD after being reflected: (shown by figure 2)

A (-3, 1)

B (-3, 4)

C (-5, 5)

D (-5, 2)

Then, the figure got translated two units to the left, resulting in figure F in the picture, and A’B’C’D’ in the question.

Points of ABCD after being translated by (x-2, y) : (shown by figure F)

A (-5, 1)

B (-5, 4)

C (-7, 5)

D (-7, 2)

This should be the coordinates of A’B’C’D’.

7 0
4 years ago
Diego takes more than twice as long to assemble a computer as Kenneth does. Kenneth assembles a computer in 24 minutes. If Diego
Anastasy [175]
The answer to this problem is D<span />
6 0
4 years ago
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