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Brut [27]
3 years ago
13

What would be the slope-intercept form of the equation of the line through (0, 6) and (4, 4)?

Mathematics
1 answer:
Stolb23 [73]3 years ago
7 0

Answer:

i only know this

The equation of the line of slope 4 is y=4x+b. The line goes through (-1,-6) If you step 1 unit positive in the x direction you reach the y-axis, (x=0). In order to remain on the line you need to go up 4 units, that is from -6 to -2. y=4x-2.

Step-by-step explanation:

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Which expressions are equivalent to g + h + (j + k)? Check all that apply.
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3.

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A square room has a floor area of 81 square meters. The height of the room is 5 meters. What is the area of one wall
VMariaS [17]

Area of a square is side length ^2

To find the length of the side of a square from the area, that’s the square root of the area:

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4 0
2 years ago
Find the tangent line approximation for 10+x−−−−−√ near x=0. Do not approximate any of the values in your formula when entering
Svetllana [295]

Answer:

L(x)=\sqrt{10}+\frac{\sqrt{10}}{20}x

Step-by-step explanation:

We are asked to find the tangent line approximation for f(x)=\sqrt{10+x} near x=0.

We will use linear approximation formula for a tangent line L(x) of a function f(x) at x=a to solve our given problem.

L(x)=f(a)+f'(a)(x-a)

Let us find value of function at x=0 as:

f(0)=\sqrt{10+x}=\sqrt{10+0}=\sqrt{10}

Now, we will find derivative of given function as:

f(x)=\sqrt{10+x}=(10+x)^{\frac{1}{2}}

f'(x)=\frac{d}{dx}((10+x)^{\frac{1}{2}})\cdot \frac{d}{dx}(10+x)

f'(x)=\frac{1}{2}(10+x)^{-\frac{1}{2}}\cdot 1

f'(x)=\frac{1}{2\sqrt{10+x}}

Let us find derivative at x=0

f'(0)=\frac{1}{2\sqrt{10+0}}=\frac{1}{2\sqrt{10}}

Upon substituting our given values in linear approximation formula, we will get:

L(x)=\sqrt{10}+\frac{1}{2\sqrt{10}}(x-0)  

L(x)=\sqrt{10}+\frac{1}{2\sqrt{10}}x-0

L(x)=\sqrt{10}+\frac{\sqrt{10}}{20}x

Therefore, our required tangent line for approximation would be L(x)=\sqrt{10}+\frac{\sqrt{10}}{20}x.

8 0
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If the equation below is solved by graphing, which statement is true?
adelina 88 [10]

Answer:

.46

Step-by-step explanation:

If you graph the function, you can see where the two logs intersects. View the image I have attached.

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