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9966 [12]
2 years ago
12

What is the slope of the line that passes through the points (48, 10) and (-36, 17)?

Mathematics
1 answer:
schepotkina [342]2 years ago
4 0

Answer:

y = m x + b      equation of a straight line

m = (y2 - y1) / (x2 - x1)     slope of line

m = (17 - 10) / (-36 - 48) = 7 / -84 = -1 / 12

y = -x / 12 + b     equation of line

Or b = y + x / 12

If y =  10 and x = 48 then    b = 10 + 48 / 4 = 14

if  y = 17 and x = -36 then b = 17 - 36 / 12 = 14

So b = 14 and   y = -x / 12 + 14

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bija089 [108]
So first, we multiply out the brackets.
-15x - 18 + 2 = 17 + 16x -1
Then, bring all the terms onto one side so you can solve.
-15x-18+2-17-16x+1=0
Then, we simplify this.
-31x-32=0
Then, isolate x
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6 0
2 years ago
Victor is making a recipe for smoothies. His first recipe requires 2 cups of strawberries for every 7 cups of other ingredients.
sweet-ann [11.9K]

Answer:

2/7 or 3/9

3/9 is greater so the recipe with 3 cups per 9 cup requires more

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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Lynna [10]
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5 0
3 years ago
I need answers!!!!!!!!
aleksandrvk [35]

Answer:

a) 4.4583 b) Fiona

Step-by-step explanation:

First find the average of the numbers by adding them all together then dividing them by the amount of numbers given:

(85 + 88 + 90 + 91 + 93 + 96 + 97 + 97 + 98 + 98 + 99 + 105)\div12= 1137\div12= 94.75

Then find the difference between each number and the answer you got

(85 - 94.75) + (88 - 94.75) + (90 - 94.75) + (91 - 94.75) + (93 - 94.75) + (96 - 94.75) + (97 - 94.75) + (97 - 94.75) + (98 - 94.75) + (98 - 94.75) + (99 - 94.75) + (105 - 94.75)\div12

Which is

(9.75) + (6.75) + (4.75) + (3.75) + (1.75) + (1.25) + (2.25) + (2.25) + (3.25) + (3.25) + (4.25) + (10.25)\div12

Which comes out to

\frac{53.5}{12}=4.4583

6 0
2 years ago
A golden rectangle has side lengths in the ratio of about 1 : 1.618. If the long side of a golden rectangle is 35 cm, what is it
enot [183]
\bf 1:1.618\iff \cfrac{1}{1.618}\cfrac{\leftarrow \textit{small side=width}}{\leftarrow \textit{longer side=length}}\\\\
-----------------------------\\\\
\textit{now, what if the length is 35?}\to \cfrac{1}{1.618}=\cfrac{w}{\boxed{35}}

solve for "w" to get the width

what's the area of a rectangle?   length * width, or lw
5 0
3 years ago
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