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Olenka [21]
3 years ago
13

Complete the equation of the line through (6,-6) and (8,8). Y =

Mathematics
1 answer:
Damm [24]3 years ago
6 0

Answer:

7x-48

Step-by-step explanation:

we want our equation to look something like this

y=mx+b

let's start by solving for m (the slope) using the slope formula

\frac{y_2-y_1}{x_2-x_1}\\\\\frac{8-(-6)}{8-6}\\\\\frac{14}{2}=7

Which means, so far, our equation looks like this

y=7x+b

now we just need to solve for B

We can do this by plugging in a set of coordinates

-6=7*6+b

-6=42+b

-48=b

which means our equation is

7x-48

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What is the rule of -3,18,-108,—,—,—
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The rule for this sequence is 'multiply by -6'.

Verification ↓

-3*(-6)\stackrel\checkmark{=}18

18*(-6)\stackrel\checkmark{=}-108

So the rule for the sequence is 'multiply by -6'

And the Common ratio is -6.

Hope that made sense !!

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5 0
2 years ago
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How is the formula for the circumference of a circle derived
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Answer:

Essentially by the definition of  

π

Step-by-step explanation:

idk m8 i just googled it. seems legit ill send the link if youd like

8 0
2 years ago
350 people visited a zoo the zoo has four types of tickets the manager wants a sample of size 30, stratified by ticket type. how
NARA [144]

Answer:

The number of teenagers in the stratified sample of equal proportion is 30 teenagers

Step-by-step explanation:

Whereby tickets are sold to only adults male and female and teenagers, boys and girls, we have the following groups

Group 1: Female adult

Group 2: Male adult

Group 3: Teenage boys

Group 4: Teenage girls

In stratified sampling, the types of people that visit the zoo (which is the target population) are identified and the appropriate proportion of each of the identified types is determined such that the sample is representative of the population

Where equal number of each group are observed to have visited the zoo, then, the appropriate sample size of the teenager is found as follows;

Number of groups identified = 4

Sample size = 30

Appropriate proportion of each group = 1/4

Number of teenage boys in the sample = 1/4×30 = 15

Number of teenage girls in the sample = 1/4×30 = 15

Total number of teenagers in the sample = 15 + 15 = 30 teenagers.

5 0
3 years ago
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The function t relates the age of a plant fossil in years to the percentage c of carbon remaining in the fossil relative to when
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2998

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Step-by-step explanation:

7 0
2 years ago
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Kara did a survey to determine to study the types of pets that students in her school had. She surveyed 300 students and found t
julsineya [31]

Answer:

(C)81

Step-by-step explanation:

Total Number of Students =300

Percentage who had cats, n(C) = 40%

Percentage who had both cats and dogs , n(C \cap D) = 12%

Percentage who had neither cats nor dogs, n(C \cup D)' =45%

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Universal Set, U = n(C)+n(D)-n(C \cap D)+n(C \cup D)'

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=81

3 0
3 years ago
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