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Dvinal [7]
3 years ago
6

Find the slope from the two points (-4,-1) (-3,-3)

Mathematics
1 answer:
kicyunya [14]3 years ago
8 0

The slope is -2_________

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Convert 0.31 into a fraction.
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Step-by-step explanation:

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0.31 as a fraction is \frac{31}{100}

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The value of 2(cos square 45 + tan square 60) is
Sergeu [11.5K]

Answer:

7

Step-by-step explanation:

Using the exact values for

cos45° = \frac{1}{\sqrt{2} } and tan60° = \sqrt{3} , then

2(cos²45° + tan²60°)

= 2( (\frac{1}{\sqrt{2} } )² + (\sqrt{3} )² )

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= 1 + 6

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7 0
3 years ago
Consider the following: A medical researcher wants to determine the effects of pH (a measure of alkalinity or acidity, with pure
natita [175]

Answer:

See below

Step-by-step explanation:

<h3>Continuation of the question</h3>

<u>Data in the table:</u>

<u>PH             4       5     6     7     8    9     10     11 </u>

<u>Bacteria    116   120  131  136  141  151  148   163</u>

  • <em>Create a scatter plot to represent the data: Based on the data and your scatter plot, what do you think a good linear function would be to represent the data?</em>
<h3>Solution</h3>

<em>See attached for scatter plot</em>

We can see the chart is close to linear function. Let's build one based on data in the table

<u>The line will be in the form of:</u>

  • y = mx + b

<u>If we use two points and get the equation</u>

  • (4, 116) and (8, 141)

<u>Finding the slope:</u>

  • m = (141-116)/(8-4) = 25/4 = 6.25

<u>Then, finding y-intercept:</u>

  • 116 = 6.25*4 + b
  • b = 116 - 25 = 91

<u>So the line is:</u>

  • y = 6.25x + 91

<em>Note: This is approximate best fit graph and it is attached as well. Exact formula for the line is built by using different method and is very close to the one above</em>

4 0
4 years ago
Using the Multiplication Property of -1
Papessa [141]

A. -(a+5)

Because the negative sign is outside the parenthesis, multiplying by -1 just removes the negative sign:

-(a+5) * -1 = a+5


B. -(-x+31)

Apply the distributive property:

-(-x+31) becomes (- -x +31) which simplifies to (x+31)

multiply that by -1 to get -x+31


C. -(4x+12)

Because the negative sign is outside the parenthesis, multiplying by -1 just removes the negative sign:

-(4x+12) * -1 = 4x+12

7 0
4 years ago
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