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Anika [276]
3 years ago
10

find the equation for the line that passes through (10, 10) that has slope -1/3. give your answer in point-slope form. you do no

t need to simplify.
Mathematics
1 answer:
chubhunter [2.5K]3 years ago
3 0

Y - 10 =(-1/3) ( X - 10 )

Y = ( -1/3) X + ( 40/3)

Step-by-step explanation:

Step 1:

The basic form of Slope Intercept equation is

Y - Y_{1}  = m ( X - X_{1})

Step 2:

Points are (10,10) and m=-1/3

Y-10 = (-1/3)(X-10)

Y = ( (-X + 10 )/3) + 10

Y    =( - X / 3 )  +( 40 / 3)

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Vladimir [108]

14, 21

Step-by-step explanation:

Let the two consecutive multiples be 7n and 7(n+1).

Now, it is given that:

(7n)² + [7(n+1)]² = 637

Simplifying,

49n² + (7n+7)² = 637

49n² + 49n² + 2(7n)(7) + 49 = 637

(as (x+y)² = x² + y² + 2xy)

98n² + 98n + 49 = 637

98n² + 98n - 588 = 0

Dividing by 98 to further simplify,

n² + n - 6 = 0

Factorising, we get

n² + 3n - 2n - 6 = 0

n(n+3) - 2(n+3) = 0

(n+3)(n-2) = 0

Therefore we get n = -3 or n = +2.

Hence, we get the consecutive multiples as 14 and 21.

Feel free to ask if you didn't understand any part.

Hope this helps! :D

6 0
3 years ago
This year, there were 25% fewer sunny days than last year.
Lena [83]

Please write the full question, you wrote half of the question. If you could write the full one, I could probably be able to answer it

8 0
3 years ago
Explain why the difference of two polynomials will always be a polynomial
kobusy [5.1K]
<span>They are finite sums of expressions of the form where a is a constant, x is the variable and k is a non-negative integer</span>
8 0
3 years ago
assume the age of night school students is normally distributed. A simple random sample of 24 night school students had an avera
aleksley [76]
Let
n = number of data
s = standard deviation (sample)
S = standard deviation (population)

The working equations is

\frac{(n-1) s^{2} }{ x^{2}_{right} }  \ \textless \   S^{2} \ \textless \   \frac{(n-1) s^{2} }{ x^{2}_{left} }

To find x^{2}_{right}, : (1 - 0.90)/2 = 0.05

To find x^{2}_{left}, : 1 - 0.05 = 0.95

Degrees of freedom = n-1 = 24 - 1 = 23

This is shown in the figure attached. Since there is no row for df=23, we interpolate. Thus,

 x^{2}_{left} = 13.093 

 x^{2}_{right} = 35.17 


Substitute all values,

\frac{(24-1) 5.6^{2} }{ 35.17} \ \textless \ S^{2} \ \textless \ \frac{(24-1)  5.6^{2} }{ 13.093} }

Thus the answer is,

20.51\  \textless \ S^{2} \ \textless \ 55.09

5 0
3 years ago
Use the operation signs +,-,x and divide once each so that the value of the expression is 11.
lozanna [386]

Answer:

See explanation for answer

Step-by-step explanation:

As far as I know, the best way to solve this it to guess and check. You can make some logical inferences, for instance that you probably won't be dividing or multiplying 5 and 7, as the resulting number would either not be an integer or would be too large. Thinking like this, you can find that 7+2\times(7-5)\div 1=7+4\div 1=11. Hope this helps!

6 0
3 years ago
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