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solmaris [256]
3 years ago
11

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:)


6 0
1 year ago
You roll a number cube once.
Svet_ta [14]

Answer:

2/6 not that hard

7 0
2 years ago
The base of this solid crate has an area of 6 square meters. The
Natali5045456 [20]

if the area is 6 that means the square is 2 x 3. 2 x 3 x 4. that equals 24.

let me know how you did !

6 0
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

P = x + 2y

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.

Therefore, 48 feets of fencing is needed to enclose the garden.
8 0
3 years ago
in class, matthew stated "i think that a negative is like an opposite. That is why multiplying a negative times a negative equal
sveticcg [70]
Yes and no. A negative number and it's opposite are 'integers.' Yes, a negative and a negative multiplied together give you a positive. The two negative signs cancel out making it positive. But no, a positive and a positive multiplied together do not give you a negative. When you subtract positive numbers you can get a negative, but not when multiplying. If you were to do a positive times a negative it would be negative because the positive can't cancel it out. Example: -3 · -3 = 9. [] 3 · 3 = 9. [] -3 · 3 = -9. Other than the positive number part, the statement is true about the negatives. I hope that helped!
8 0
3 years ago
Read 2 more answers
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