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3 years ago

Explain how to find the slope of a line that passes through the points (-3, 1), (1, 9. Find the slope

Mathematics

1 answer:

Nutka1998 [239]3 years ago

4 0

Answer:

Slope=2

Step-by-step explanation:

m= 9-1/1-(-3)

m=8/4=2/1=2

Use slope intercept form=y₂-y₁/x₂-x₁

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(-6x) / (-2) Simplify. 12x 4x 3x 1/12x

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$\dfrac{-6x}{-2}=\dfrac{-6}{-2}x=3x$

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Which expressions are equivalent to the one below?? 36^x/6^x

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Count the number of 5-digit numbers (in the decimal system; integers from 10000 to 99999) which are not divisible by 11.

Alexxandr [17]

Answer:

So total number which is not divisible by 11 = 89999-8181 = 81819

Step-by-step explanation:

We have to find the total numbers which are not divisible by 11 from 10000 to 99999

Total number from 10000 to 99999 = 99999-10000+1=90000

Just after 10000 the number which is divisible by 11 is 10010

And just below 99999 the number which is divisible by 11 is 99990

Using AP formula

$T_N=a+(n-1)d$ , here a is first term, d is common difference and n is number of terms

So $99990=10010+(n-1)11$

n-1 = 8180

n= 8181

So total number which is not divisible by 11 = 90000-8181 = 81819

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3 years ago

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3 years ago

In the figure, BC is a support for the roof of a garage. What is the length of BC?

Sonbull [250]

Answer:

Bc = √63 ft

Step-by-step explanation:

Here, we want to get the length of BC

As we can see, there is a right angled triangle ABC, with 12ft being the hypotenuse and 9 ft the other side

So we want to get the third leg which is BC

we can use the Pythagoras’ theorem here

And that states that the square of the hypotenuse equals the sum of the squares of the two other sides

let the missing length be x

12^2 = x^2 + 9^2

144 = x^2 + 81

x^2 = 144-81

x^2 = 63

x = √63 ft

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2 years ago