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jarptica [38.1K]
2 years ago
5

Given two points (2, 7) and (1, -2) on a line, calculate the slope of the line.

Mathematics
1 answer:
Kipish [7]2 years ago
7 0

Answer:

Step-by-step explanation:

Slope of line passing through (2, 7) and (1, -2) = (-2-7)/(1-2) = 9

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If (y + 1) varies directly as square root of x and y =14 when x = 27, find the value of y when
marysya [2.9K]

Answer:

22.1 or 22

Step-by-step explanation:

Y + 1 varies√x

Y + 1 = K√x ( k is costant)

so we solve for K

given: 14 + 1 = K√27

15 = K√27

divide both sides by √27

15/√27 = K

to find the value of y

y + 1 = 15/√27 (8) : substitute K for 15/√27

Y + 1 = 120/√27

i.e Y = 120/√27 - 1

Y = 23.1 - 1

Y = 22.1 or 22

5 0
3 years ago
Find The Domain Find the Value
laila [671]

1a) The domain is a set of all real numbers not equal to 5

1b) The domain is a set of all real numbers not equal to 4

<h3>What is the domain of the function?</h3>

Domain of a function is the set of all possible input values that make the function defined.

1a) We are given the function;

C(x) = -3²/(x - 5)

The domain will be a set of values that makes the denominator not equal to zero. Thus;

The domain is a set of all real numbers not equal to 5

1b) The function is; R(x) = 4x/(3x - 12)

The domain will be a set of values that makes the denominator not equal to zero. Thus;

The domain is a set of all real numbers not equal to 4

2a) Function is;

f(x) = (x + 8)/(2x - 1)

f(2) = (2 + 8)/(2(2) - 1)

f(2) = 10/3

f(0) = (0 + 8)/(2(0) - 1)

f(0) = -8

f(-1/2) = (-1/2 + 8)/(2(-1/2) - 1)

f(-1/2) = -15/4

2b) Function is;

r(t) = (t² + 8)/(t³ - 25t)

r(3) = (3² + 8)/(3³ - 25(3)) = -17/48

r(2) = (2² + 8)/(2³ - 25(2)) = -12/42 = -2/7

r(-1) = ((-1)² + 8)/((-1)³ - 25(-1))  = 9/24 = 3/8

Read more about Domain of function  at; brainly.com/question/10197594

#SPJ1

3 0
1 year ago
The mean of six numbers is 10. When
vivado [14]

Answer:

3

Step-by-step explanation:

If 6 numbers have a mean value of 10, it means that the sum of the numbers divided 6 is equal to 10. This can be expressed as:

x÷6=10

x=60

The new number added will be the 7th number and now the mean is 9. You have to ask what number divided by 7 is equal to 9? This can be expressed as:

y÷7=9

y=63

63-60=3

So the new number added is 3

5 0
3 years ago
Read 2 more answers
Please triple check
Nady [450]

Answer: The answer should be \frac{1}{6} because that is the probability of that spinner

Step-by-step explanation:

4 0
2 years ago
A farmer divided his piece of land into 2 equivalent groups and the quality of the soil is the same in both of these groups. He
Dimas [21]

Answer:

  1. Observational would mean that he (farmer) has no direct impact or change on the statistical study.
  2. Experiment would mean that he imposed a certain treatment up a group in this case it would be the land.
  3. Hence we can determine that the the study was an experimental one.
7 0
3 years ago
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