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Svetradugi [14.3K]
3 years ago
6

8. Find the slope-intercept form for the equation of the

Mathematics
1 answer:
sashaice [31]3 years ago
6 0

Answer:

y=\frac{1}{9}x

Step-by-step explanation:

We are given that the lines passes trough the points (-9, -1) and (0,0).

(0,0) is the origin.

Slope is: m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{0-(-1)}{0-(-9)} =\boxed{\frac{1}{9}}

The slope is one-ninth.

Since the lines passes at the origin, it's y-intercept is 'zero'. We do not write zeros in slope-intercept equations, to the equation of the line should be:

y=\frac{1}{9}x

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The width of a rectangle is 4 inches greater than half the length. The perimeter is 56 inches. What is the length and the width
yulyashka [42]

Answer:

Length of the rectangle = 16 inches

Width of the rectangle = 12 inches

Step-by-step explanation:

Let the length of the rectangle be represented by x.

Then width can be expressed as \[\frac{x}{2}+4\]


Perimeter of a rectangle is the sum of four sides of the rectangle.

This can be expressed as 2*(length + breadth)

= \[2* (x + \frac{x}{2}+4)\]

= \[2* (\frac{3x}{2}+4)\]

= \[3x + 8\]

But perimeter is given as 56.

So, \[3x + 8 = 56\]


=> \[3x = 48\]

=> \[x = 16\]

Hence length of the rectangle = 16 inches

Width of the rectangle = \[\frac{16}{2}+4\] = 12 inches

7 0
3 years ago
Read 2 more answers
A drink is mixed in the ratio
Contact [7]

Answer:

3

Step-by-step explanation:

 Drink mix ratio:

        Lemonade   :    Orange      :     Cranberry

                 6           :          3          :          C

  Fraction  of Cranberry juice  = \frac{3}{12}

Sum of the ratio = 6 + 3 + C  = 9 + C

   Fraction of Cranberry;

                \frac{C}{9 + C}   = \frac{3}{12}

               3(9 + C)  = 12C

               27 + 3C  = 12C

               27  = 12C - 3C

                9C  = 27

                   C = 3

The missing number will be 3

4 0
3 years ago
[(12-5). 12] ÷16=?<br>can I please get some help on this? It would be greatly appreciated
lina2011 [118]

i believe it would be 5.25

12-5=7

7*12=84

84/ 16 = 5.25

i hope this helps

8 0
3 years ago
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katie bought 4 sweaters that each cost the same amount and 1 skirt that costs 20$. The items she bought cost a total of 160$ bef
Alika [10]
Hello, in order to solve this you first need to take $20 subtracted from 160 that leaves you with 140 next because she bought 4 sweaters you need to divide your remaining cash spent by 4 to get a total of $35 a sweater.

I hope this is what you were looking for, have a great day!
8 0
2 years ago
Consider the parent function f(x)=e^x and transformed function g(x)=-f(x)-4. Which features of function F function G are differe
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There are no results for Consider the parent function f(x)=e^x and transformed function g(x)=-f(x)-4. Which features of function F function G are different

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