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svetlana [45]
2 years ago
9

In the table, each value of y varies directly with the corresponding value of x. Which equation represents the values in the tab

le?

Mathematics
1 answer:
Alex777 [14]2 years ago
6 0
Your equation should be
y=2.2x
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Circle 1 is centered at (−4, 5) and has a radius of 2 centimeters. Circle 2 is centered at (2, 1) and has a radius of 6 centimet
IgorC [24]
Basically, you have two circles. You are asked to take circle 1 and "move it" so that it is on top of circle 2. This process of moving is called a translation and can be thought of as sliding. You do this by ensuring that the two have the same center. So, starting at (-4,5) how do you have to move to end up at (2,1)?

To do this we need to move right 6 as the x-coordinate goes from -4 to 2. We also need to move down 4 as the y-coordinate goes from 5 to 1. So we add 6 to the x-coordinate and subtract 4 from the y-coordinate. The transformation rule is (x+6, y-4).

Once you do this the circles have the same center. Next you wish to dilate circle 1 so it ends up being the same size at circle 2. That means you stretch it out in such a way that it keeps its shape. Circle 1 has a radius of 2 centimeters and circle 2 has a radius of 6 centimeters. That is 3x bigger. So we dilate by a factor of 3.

Translations and dilations (along with reflections and rotations) belong to a group known as transformations.
3 0
3 years ago
Samir is an expert marksman. When he takes aim at a particular target on the shooting range, there is a 0.950.950, point, 95 pro
Vinvika [58]

Answer:

40.1% probability that he will miss at least one of them

Step-by-step explanation:

For each target, there are only two possible outcomes. Either he hits it, or he does not. The probability of hitting a target is independent of other targets. 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.

0.95 probaiblity of hitting a target

This means that p = 0.95

10 targets

This means that n = 10

What is the probability that he will miss at least one of them?

Either he hits all the targets, or he misses at least one of them. The sum of the probabilities of these events is decimal 1. So

P(X = 10) + P(X < 10) = 1

We want P(X < 10). So

P(X < 10) = 1 - P(X = 10)

In which

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

P(X = 10) = C_{10,10}.(0.95)^{10}.(0.05)^{0} = 0.5987

P(X < 10) = 1 - P(X = 10) = 1 - 0.5987 = 0.401

40.1% probability that he will miss at least one of them

7 0
2 years ago
Many do apply pls helpn
Ugo [173]

Answer:

a and b

Step-by-step explanation:

i think b i know a for sho

4 0
3 years ago
Read 2 more answers
Please help! Will give brainliest! Trig ratio!
DiKsa [7]
Good question!

First of all, you need to be aware of the following trigonometrical ratios\functions:

For angle A:

adjacent=12
opposite=35
hypotenuse=37

Hence:
cos(A)= \frac{12}{37} &#10;\\~\\&#10;sin(A)= \frac{35}{37} &#10;\\~\\&#10;tan(A)= \frac{35}{12}

I hope that helps!



I am with you if you faced any difficulties!


 


4 0
3 years ago
Write the slope-intercept form of the given line. Include your work in your final answer. Type your answer in the box provided o
kolbaska11 [484]
Answer: y = x -1

reasoning: the slope is 1 because the rise/run = 1/1, which simplifies to 1.
                 the y intercept is -1 because the line passes through the y axis at -1.

hope this helps!
8 0
3 years ago
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