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kap26 [50]
3 years ago
11

Find an equation for the line that passes through the point (-4, 10) and (16, -2)

Mathematics
1 answer:
Crank3 years ago
3 0

Answer:

y = 3/5x + 62/5

Step-by-step explanation:

Equation of a line with two points is

m = y - y_1 / x - x _1

m = y_2 - y_1 / x_2 - x _1

Equating both

y - y_1 / x - x_1 = y_2 - y_1 / x_2 - x_1

Using what we are provided with

(-4 , 10)(16 , -2)

x_1 = -4

y_1 = 40

x_2 = 16

y_2 = -2

Imputing the values

10 - (-2) / 16 - (-4) = y - 10 / x - (-4)

10 + 2 /16 + 4 = y - 10 / x + 4

12 / 20 = y - 10 / x + 4

Lets cross multiply

12 ( x + 4) = 20(y - 10)

Open the brackets

12x + 48 = 20y - 200

12x + 48 + 200 = 20y

12x + 248 = 20y

Following this equation of line

y = mx + C

20y = 12x + 248

Let's divide through by 20 to get y.

20y / 20 = 12x + 248 / 20

y = 12x + 248 / 20

We can separate it by

y = 12x / 20 + 248 / 20

y = 3/5x + 62/5

Therefore, the equation of the line is

y = 3/5x + 62/5

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Answer: The answer is x = -2 :)

Step-by-step explanation:

To find the answer you add 10 to both sides and 10 + (-12) is -2

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3 years ago
HELPPPP ASPAPPPP PLEASEEEE !!!!!
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Answer:

x^(1/3)

Step-by-step explanation:

let's start with x^2 / x^(2/3), then we'll move on the the 4th root

when dividing exponents with the same base, we subtract the exponents:

x^2 / x^(2/3) = x^(2 - 2/3) = x^(4/3)

the fourth root of x^4/3 can become x^(4/3 * 1/4)

(i used the formula x^(m/n) = nth root of x^m)

x^(4/3 * 1/4) = x^1/3

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1 year ago
In the adjoining figure, AB//CD. Show that, AC//BD.​
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Answer:

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3 years ago
What is the probability of getting either a nine or an ace when drawing a single card from a deck of 52​ cards?
Flura [38]

probability of drawing ace: 4/52 = 1/13

probability of drawing 9: 4/52 = 1/13

probability of drawing ace or 9: 1/13 + 1/13 = 2/13 or ~15.4%

8 0
2 years ago
For the function f(x)=8(x+10), find f^-1(x)
NeTakaya
In other words, find the inverse of the given function f(x).

1.  Replace f(x) with "y."     y = 8(x+10)
2.  Interchange x and y:      x = 8(y+10)
3.  Solve this for y:             y+10 = x/8, or y = x/8 - 10

                                   -1
4.  Replace "y" with "f     (x) "       

          -1           x-80
         f   (x) = ----------     (Answer)
                            8 
6 0
3 years ago
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