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earnstyle [38]
3 years ago
10

Solve for k 7k+2m = kr + 4m + 3

Mathematics
1 answer:
professor190 [17]3 years ago
6 0

Answer:

\large\boxed{k=\dfrac{2m+3}{7-r}\ \text{for}\ r\neq7}

Step-by-step explanation:

7k+2m=kr+4m+3\qquad\text{subtract}\ 2m\ \text{from both sides}\\\\7k+2m-2m=kr+4m-2m+3\\\\7k=kr+2m+3\qquad\text{subtract}\ kr\ \text{from both sides}\\\\7k-kr=kr-kr+2m+3\\\\7k-kr=2m+3\qquad\text{distribute}\\\\k(7-r)=2m+3\qquad\text{divide both sides by}\ (7-r)\neq0\\\\k=\dfrac{2m+3}{7-r}

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If the points A(x,2), B(-3, -4) and C(7, -5) are collinear, then find the value of x
DochEvi [55]

Answer:

x = -63

Step-by-step explanation:

If the points A(x,2), B(-3, -4), and C(7, -5) are collinear, the line that passes B and C, also passes A.

The line passes B and C has the form of y = ax + b

=> -4  = a(-3) + b

    -5  = a(7) + b

=> Subtraction 1st equation from 2nd equation, we have:

    -1 = 10a

=> a = -1/10

=> b = -4 + 3(-1/0) = -43/10

=> This line has form of y = (-1/10)x -43/10

This line passes A(x, 2)

=> 2 = (-1/10)x - 43/10

=> 2 + 43/10 = (-1/10)x

=> 63/10 = (-1/10)x

=> x = -63

Hope this helps!

3 0
3 years ago
-25 Points-
sashaice [31]

Answer:

(x+4)^2+(y+2)^2=5

or

(x-(-4))^2+(y-(-2))^2=5

Step-by-step explanation:

Format for an equation of a circle: (x-h)^2+(y-k)^2=r^2

Center: (1/2*(-6-2),1/2*(-3-1))=(-4,-2)

Radius: sqrt(20)/2 or sqrt(5)

So, it's

(x+4)^2+(y+2)^2=5

or

(x-(-4))^2+(y-(-2))^2=5

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3 years ago
Mags has 2 1/2 of milk in her refrigirator. She likes to have 1/4 pint with her oatmeal in the morning. How many bowls of oatmea
Jlenok [28]

                                         

                                       

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vladimir2022 [97]

Answer: 3(9e+8)

Step-by-step explanation:

3(9e+8)

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2 years ago
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greetings:

hi po

question:

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