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SIZIF [17.4K]
3 years ago
10

A like with slope = 1/2 passes through the points (2,5) and (x,3). What is the value of x?

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
8 0
Y = mx + b

slope = m = 1/21, so we have

y = 1/2 x + b

The line passes through (2, 5), so we get

5 = 1/2 * 2 + b

5 = 1 + b

b = 4

The equation of the line is

y = 1/2 x + 4

Point (x, 3) has a y-coordinate of 3. We are looking for the x-coordinate.

y = 1/2 x + 4

3 = 1/2 x + 4

-1 = 1/2 x

x = -2
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Step-by-step explanation:

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If y varies directly as x, and y is 20 when x is 4, what is the constant of variation for this relation?
Ludmilka [50]

Answer:

Step-by-step explanation:

y = k*x                    This is the formula for a direct variation.

  • y = 20
  • x = 4                        Substitute these values into the direct variation

20 = 4 * k                        Divide by 4

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7 0
2 years ago
Help? I'd Appreciate it!
kondor19780726 [428]

<u>Answer</u>

y = (1/2)x - 1


<u>Explanation</u>

The first step is to get the gradient of the line.

The two points in the line are; (2,0) and (-2, -2).

Gradient = (-2 - 0)/(-2, - 2)

                = -2/-4

                 = 1/2

To get the function we use one of the point (2,0) and a general point (x,y).

1/2 = (y - 0)/(x - 2)

1/2 = y/(x - 2)

(x - 2) = 2y

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3 years ago
The sum of the squares of two consecutive negative integers is 61. Find the smaller of the two integers
Marysya12 [62]
x^2+(x+1)^2=61\\ x^2+x^2+2x+1-61=0\\ 2x^2+2x-60=0\ \ /:2\\ x^2+x-30=0\\ \Delta=1^2-4\cdot(-40)=1+120=121\ \ \Rightarrow\ \  \sqrt{\Delta} =11\\ \\ x_1= \frac{-1-11}{2} = \frac{-12}{2} =-6,\ \ \ \ x_2= \frac{-1+11}{2} = \frac{10}{2}=5\\ \\Ans.:x=-6
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3 years ago
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