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1 year ago

What is the equation, in slope-intercept form, of the line

Mathematics

1 answer:

Serga [27]1 year ago

3 0

Answer: y=3x-7

Step-by-step explanation:

(2,2) and (-1,3) lie on the given line, so its slope is $\frac{3-2}{-1-2}=-\frac{1}{3}$

Since perpendicular lines have slopes that are negative reciprocals, the slope of the given line is 3.

Substituting into point slope form,

$y+1=3(x-2)\\y+1=3x-6\\\boxed{y=3x-7}$

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11. The completion of a chemical reaction is expressed by the equation y = 300 - 4x - XP, where y is

alina1380 [7]

Answer:

The reaction ca occur at 10 degree Celsius or -14 degree Celsius.

Step-by-step explanation:

We are given the following in the question:

The completion of a chemical reaction is expressed by the equation

$y = 300 - 4x -x^2$

where y is the number of seconds needed to complete the reaction and x is the temperature in degrees Celsius at which the reaction occurs.

We have to find the temperature at which the reaction occurs, if the completion time of reaction is 160 seconds.

Putting y = 160

$160 = 300 - 4x -x^2\\x^2 + 4x - 140 = 0\\x^2 + 14x -10x -140 = 0\\x(x+14)-10(x+14)=0\\(x-10)(x+14) = 0\\(x-10) =0, (x+14) =0\\x = 10, x = -14$

Thus, the reaction ca occur at 10 degree Celsius or -14 degree Celsius.

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2 years ago

How many doughnuts are in 1/3 dozen? Please help meeee!!!!

Eva8 [605]

There are 4 doughnuts in 1/3 of a dozen

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3 years ago

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You and a friend are running on treadmills. you run 0.5 mile every 3 minutes and your friend runs 2 miles every 14 minutes. you

Natali5045456 [20]

I run 1 mile every 6 minutes.
My friend runs 1 mile every 7 minutes.
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My friend : 42 : 7 = 6 miles.

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2 years ago

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explain to make a apple pie you need 2 pounds of apples how many pounds do i need to make 20 apple pies

Andrews [41]

You do 2x20 which is basically 2x2 (4) add a zero and your answer is 40

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2 years ago

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2 points) Suppose w=xy+yzw=xy+yz, where x=et, y=2+sin(t)x=et, y=2+sin⁡(t), and z=2+cos(3t)z=2+cos⁡(3t). A ) Use the chain rule t

Olenka [21]

Answer:

$\frac{\partial w}{\partial t} = y(e^t) +(x+z)*(cos(t)) - 3y*sin(3t)$

Step-by-step explanation:

First, note that

$\frac{\partial x}{\partial t} = e^{t} \\\frac{\partial y}{\partial t} = cos(t)\\$

And using the chain rule in one variable

$\frac{\partial z}{\partial t} = -3sin(3t)$

Now remember that the chain rule in several variables sates that

$\frac{\partial w}{\partial t} = \frac{\partial w}{\partial x} * \frac{\partial x}{\partial t} + \frac{\partial w}{\partial y} * \frac{\partial y}{\partial t} + \frac{\partial w}{\partial z} * \frac{\partial z}{\partial t}$

Therefore the chain rule in several variables would look like this.

$\frac{\partial w}{\partial t} = y(e^t) +(x+z)*(cos(t)) - 3y*sin(3t)$

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3 years ago

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