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Pachacha [2.7K]
3 years ago
8

What is the equation of the line that goes through the points (1,2) and (2,1)?

Mathematics
1 answer:
Mandarinka [93]3 years ago
4 0

Answer:

y = -x+3

Step-by-step explanation:

We have two points so we can find the slope

m =(y2-y1)/(x2-x1)

    (1-2)/(2-1)

    -1/1

 The slope is -1

We can use the slope intercept form of the equation

y = mx+b where m is the slope and b is the y intercept

y = -x+b

Substitute a point into the equation to find b

2 = -1 +b

Add 1 to each side

2+1 =-1+1 +b

3 =b

y = -x+3

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Given the function y=log3(x+2)-2. List the transformations
slava [35]

Answer:

Exponential transformation.

Step-by-step explanation:

y = log_3 (x + 3) - 2

To transform this into exponential, we have:

Adding 2 to both sides

y + 2 = log_3 (x + 3)

3^(y + 2) = x + 3

x = 3^(y + 2) - 3

4 0
2 years ago
I can find the perimeter and area of the rectangle
Svetllana [295]

Answer:

A = 72, P = 38

Step-by-step explanation:

Area can be found by getting the area of the overall figure, and then subtracting the blank space in the corner

12 * 7 = 84

3 * 4 = 12(invisible rectangle in top right)

84 - 12 = 72

Perimeter can be found by adding all of the sides

12 + 7 + (12-4) + 3 + 4 + (7-4)

The numbers in brackets are the unlabeled sides on the top and left.

4 0
2 years ago
Read 2 more answers
Biologists were studying the proportions of cats that had spotted markings on their fur in two populations of cats, C and F. An
alexandr1967 [171]

Answer:

If the proportions of all cats with spotted markings is the same for both populations, the probability of observing a sample difference of at least 0.62 is 0.01.

Step-by-step explanation:

p-value is the probability of observing a result which is at least as extreme as we calculated in our actual workings, assuming the Null hypothesis to be true.

The calculate p-value is 0.01. In the question statement we are given that the alternate hypothesis is:

"Population Proportions are not equal"

Since, Null and Alternate Hypothesis are negations of each other, the Null Hypothesis would be:

"Population Proportions are equal"

We assume the null hypothesis to be true, perform the tests on the sample and obtain a result.

The results we obtained is:

The sample difference is 0.62

Fitting all this data, in the definition of p value tell us that:

The probability of obtaining a sample difference of atleast 0.62 is 0.01, if the population proportions are same.

This matches with the option B. Therefore, the correct answer is:

If the proportions of all cats with spotted markings is the same for both populations, the probability of observing a sample difference of at least 0.62 is 0.01.

3 0
3 years ago
Can an expert help with this
SVEN [57.7K]

The formula of an area of a circle:

A_O=\pi r^2

We have

r = 1.8 m

π ≈ 3.14

Substitute:

A_O=\pi\cdot1.8^2=3.24\pi\ m^2\approx3.24\cdot3.14=10.1736\ m^2\approx10.17\ m^2

7 0
3 years ago
Theresa buys 62 stickers. She gives 6 stickers to her little sister. Theresa then splits the remaining stickers evenly across 8
Alja [10]

Answer:

7 stickers on each page.

Step-by-step explanation:

We start with 62 stickers.

Then we give 6 to the little sister, so we subtract 6 from 62.

62-6=56

Then we divide the remaining 56 stickers evenly across 8 pages.

56/8=7

7 stickers on each page.

5 0
3 years ago
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