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sukhopar [10]
2 years ago
7

Write in slope intercept form an equation of the line that passes through the given points. (-1,7) , (3,-1)

Mathematics
1 answer:
Tcecarenko [31]2 years ago
6 0

Answer! :

y = -2x + 5

Step by Step! :

slope intercept form:

y = mx + b

m being slope, b being the y intercept.

To find the slope, use this equation:

y^2 - y^1 / x^2 - x^1

Plug in your points.

(-1) - (7) / (3) - (-1)

-8 / 4

-2 is your slope! (y = -2x + b)

To solve for b, plug in any one of your points and solve for b. Let's use (3, -1)

-1 = -2(3) + b

-1 = -6 + b

5 = b

Your new equation is...

y = -2x + 5

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What is the next term of the arithmetic sequence?<br> −7,−3,1,5,9,
Hunter-Best [27]

Answer:

13, 17, 21, 25, 29,..

Step-by-step explanation:

-7 + 4 = -3

-3 + 4 = 1

1 + 4 = 5

5 + 4 = 9

9 + 4 = 13

...

3 0
3 years ago
If the length of a rectangle is halved and its breath is tripled, what is the percentage change in its area??
Dennis_Churaev [7]

Answer:

A 50% increase

Step-by-step explanation:

Area = length x breadth

Let illustrate this with an example

original dimensions

length = 4

breadth = 5

area = 4 x 5 = 20

new dimensions

length = 4/2 = 2

breadth = 5 x 3 = 15

area = 15 x 2 = 30

Percentage change = 30 - 20 / 20 x 100 = 50%

6 0
3 years ago
What is the smallest number that becomes 600 when rounded to the nearest hundred?
galina1969 [7]

Answer:

B. 550

Step-by-step explanation:

550 is the smallest number that becomes 600 when rounded to the nearest hundred

6 0
3 years ago
Read 2 more answers
Write each fraction in simplest form if the fraction is in simplest form write simplest form from 1-12
erica [24]
15. would be 1/2 because if you simplify 16/32 to 8/16 (dividing by 2 each time), then to 4/8, then 2/4, and lastly 1/2

you really dont need to do all of that because 16/32 is already 1/2 (16 is half of
32) 

16. the answer would be 7/12 because if you divide 21/36 both by 3 you get 7/12 and you cant go any more simpler.
8 0
3 years ago
Please help me with my homework<br><br> <img src="https://tex.z-dn.net/?f=%5Cbf%7B%28x%2B9%29%5E5%7D" id="TexFormula1" title="\b
Brut [27]

Answer:

x⁵+ 45x⁴+ 810x³+ 7290x²+ 32805x +59049

Step-by-step explanation:

Greetings !

Given expression

(x + 9) {}^{5}

write 5 as a sum

(x + 9) {}^{3 + 2}

use \: a {}^{m + n}  = a {}^{m}  \times a {}^{n} to \: expand \: the \: expression.

(x + 9) {}^{3}  \times (x + 9) {}^{2}

Use (a+b)³=a³+3a²b+b³ to expand the expression

(x {}^{3}  + 27x {}^{2}  + 243x + 729) \times (x + 9) {}^{2}

Use (a+b)²=a²+2ab+b² to the second expression to expand it

(x {}^{3}  + 27x {}^{2}  + 243x + 729) \times(x {}^{2}  + 18x + 81)

Finally, simplify the expression gives

x {}^{5}  + 45x {}^{4}  + 810x {}^{3}  + 7290x {}^{2}  + 32805x + 59049

Hope it helps!

3 0
2 years ago
Read 2 more answers
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