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Triss [41]
3 years ago
8

Find the slope of the line of best fit shown below.

Mathematics
1 answer:
grandymaker [24]3 years ago
7 0
The Answer is A, 1/2
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Use implicit differentiation to find an equation of the tangent line to the curve at the given point.
andrew11 [14]

Differentiating both sides of

x^2 + 2xy - y^2 + x = 20

with respect to x yields

2x + 2y + 2x \dfrac{dy}{dx} - 2y \dfrac{dy}{dx} + 1 = 0 \\\\ \implies (2x-2y) \dfrac{dy}{dx} = -1 - 2x - 2y \\\\ \implies \dfrac{dy}{dx} = \dfrac{1 + 2x + 2y}{2(y-x)}

At the point (3, 4) (so x=3 and y=4), the tangent line has slope

\dfrac{dy}{dx} = \dfrac{1 + 2\times3 + 2\times4}{2(4-3)} = \dfrac{15}2

Then the tangent line to (3, 4) has equation

y - 4 = \dfrac{15}2 (x - 3) \implies \boxed{y = \dfrac{15}2 x - \dfrac{37}2}

7 0
2 years ago
What is the answer to <br> 29=5a+4
DanielleElmas [232]
29 = 5a + 4
25 = 5a
5 = a
5 0
3 years ago
Read 2 more answers
Someone plz help plz
Aleks04 [339]

Answer:

64

Step-by-step explanation:

length x width x height= volume

4x8x2= 64

7 0
2 years ago
Read 2 more answers
If RV=w and SU=w–30, what is the value of w?
DIA [1.3K]

Answer:

w = 60

Step-by-step explanation:

the midsegment SU is half the measure of side RV, then

SU =  RV , so

w - 30 =  w ( multiply through by 2 to clear the fraction )

2w - 60 = w ( subtract w from both sides )

w - 60 = 0 ( add 60 to both sides )

w = 60

5 0
2 years ago
What is the answer 47 * 63
Anuta_ua [19.1K]
<h3>47 × 63 = <u>2961</u></h3>

<h3>... Hope this will help... </h3>

<h3>U can also verify the answer using a calculator </h3>
8 0
2 years ago
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