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natali 33 [55]
2 years ago
7

Write the slope intercept form of each equation of the line. Use a fraction for slope if needed.

Mathematics
1 answer:
vova2212 [387]2 years ago
5 0

Answer:

<u>y = -3/4x + 2</u>

Step-by-step explanation:

The line is parallel to <u>y = -3/4x</u> and passes through the point (4, -1)

=============================================================

Solving :

⇒ As they are parallel, the slope remains the same (-3/4)

Now apply into the point slope formula :

⇒ y + 1 = -3/4 (x - 4)

⇒ y + 1 = -3/4x + 3

⇒ <u>y = -3/4x + 2</u> [in slope-intercept form]

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zheka24 [161]
Factorize x²+7x+12 ===> (x+3)(x+4)

Factorize x²-3x-28 ===> (x-7)(x+4)

4x + 12 can be written====> 4(x+3)

Then the question could be written as follows:

 [(x+3)(x+4) / (x-7)(x+4) ] / 4(x+3) = [(x+3)(x+4) / (x-7)(x+4) ].[4(x+30]
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7 0
3 years ago
3. A company with loud machinery needs to cut its sound intensity to 44% of its original level. By how many decibels would the l
sergeinik [125]

Answer:   <em>3.   The correct option is:  A) 3.57 decibels.</em>

<em>6.   The correct option is:  B) ln(\frac{x^2}{c^5})</em>

Step-by-step explanation:

3.    Sound intensity is cut to 44% of its original level. That means, if the original sound intensity was 100, then now sound intensity will be 44.

So,  I_{0}= 100 and I= 44

Using the formula L= 10log(\frac{I}{I_{0}}), we will get.....

L= 10log(\frac{44}{100})\\ \\ L= 10log(0.44)\\ \\ L= 10(-0.3565...)=-3.565...\approx -3.57

<em>(Rounded to the nearest hundredth)</em>

So, the loudness would be reduced by 3.57 decibels.


6.    Given expression is:    2ln(x) - 5ln(c)

First applying the property m*log(x)= log(x^m) , we will get.....

ln(x^2)-ln(c^5)

Now using the formula, log(a)-log(b)= log(\frac{a}{b}), we will get....

ln(x^2)-ln(c^5) = ln(\frac{x^2}{c^5})

Thus, the answer as a single natural logarithm is   ln(\frac{x^2}{c^5})

8 0
3 years ago
1. What is the distance between (0,3) and (7,3)?
Crank

Answer:

The distance between (0,3) and (7,3) is 7

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3 years ago
the shaded area of the following shape can be found by subtracting the area of the circle from the area of the triangle?
balu736 [363]
I found the accompanying picture of this word problem.

The circle was inscribe in the triangle. The area outside of the circle but inside the triangle is the shaded area.

True. The shaded area of the following shape can be found by subtracting the area of the circle from the area of the triangle.
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3 years ago
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So in the last question, it uses the word "per" which basically means you would have to multiply the number of pounds times 1.69

So it would be $1.69a
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