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3 years ago

Write the equation of the line that passes through the points (7, –9)

Mathematics

1 answer:

snow_tiger [21]3 years ago

3 0

Answer:

y= $\frac{-5}{6}$ x+14 $\frac{5}{6}$

Step-by-step explanation:

The equation of a line is y=mx+b

to find the equation of the line you need its gradient(m) and its y intercept(b)

the gradient is

$\frac{y1-y2}{x1-x2}$

y1= the y value of the first point which is -9

y2=the y value of the second point which is -4

x1=the x value of the first point which is 7

x2=the x value of the first point which is 1

then input the values into the equation

$\frac{(-9)-(-4)}{(7)-(1)}$

= $\frac{-9+4}{6}$

= $\frac{-5}{6}$

to find the y just times the x by the gradient and then minus it from the y

-9-(7 x $\frac{-5}{6}$ )=14 $\frac{5}{6}$

making the equation y= $\frac{-5}{6}$ x+14 $\frac{5}{6}$

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2(6x4) + 2(6x2.4n) + 2(4x2.4n) what is the value of n

AleksandrR [38]

Hey there!

2(6 * 4) + 2(6 * 2.4n) + 2(4 * 2.4n)

= 2(24) + 2(14.4n) + 2(9.6n)

= 48 + 28.8n + 19.2n

= 48 + 48n

= 48n + 48

Thus, your answer should be: 48n

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

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1 year ago

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Answer:

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2 years ago

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Natali5045456 [20]

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3 years ago

You are designing a rectangular garden. the garden will be enclosed by fencing on three sides and by a house on the fourth side.

RUDIKE [14]

Suppose the dimensions of the rectangle is x by y and let the side enclosed by a house be one of the sides measuring x, then the sides that is to be enclosed are two sides measuring y and one side measuring x.

Thus, the length of fencing needed is given by

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The area of the rectangle is given by xy,

i.e.

$xy = 288 \\ \\ \\ \\ \Rightarrow y= \frac{288}{x}$

Substituting for y into the equation for the length of fencing needed, we have

$P=x+2\left( \frac{288}{x} \right)=x+ \frac{576}{x}$

For the amount of fencing to be minimum, then

$\frac{dP}{dx} =0 \\ \\ \Rightarrow1- \frac{576}{x^2} =0 \\ \\ \Rightarrow \frac{576}{x^2} =1 \\ \\ \Rightarrow x^2=576 \\ \\ \Rightarrow x=\sqrt{576}=24$

Now, recall that

$y= \frac{288}{x} = \frac{288}{24} =12$

Thus, the length of fencing needed is given by

P = x + 2y = 24 + 2(12) = 24 + 24 = 48.

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sveticcg [70]

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