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lys-0071 [83]
3 years ago
12

A line contains the points (2,4) and (6,16). Write the linear function for the line in the form y=Mx+b

Mathematics
1 answer:
Lesechka [4]3 years ago
7 0

Answer:

y = 3x - 2

Step-by-step explanation:

Given the points :

(2,4) and (6,16).

x1 = 2 ; y1 = 4 ; x2 = 6 ; y2 = 16

Y = mx + b

m = slope

b = intercept

m = Rise / Run

Rise = y2 - y1 = 16 - 4 = 12

Run = x2 - x1 = 6 - 2 = 4

m = 12 / 4 = 3

Y = 3x + b

4 = 3(2) + b

4 = 6 + b

4 - 6 = b

b = - 2

Equation becomes ;

y = 3x - 2

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3 years ago
How to find the length
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Answer:

1.  √32

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3.  5

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Step-by-step explanation:

Use Pythagoras

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3 years ago
Susan wants to divide 2 hours of computer time equally among 10 students. What fraction of an hour of computer time will each st
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7 0
2 years ago
What is the first derivative of r with respect to t (i.e., differentiate r with respect to t)? r = 5/(t2)Note: Use ^ to show exp
adelina 88 [10]

Answer:

The first derivative of r(t) = 5\cdot t^{-2} (r(t)=5*t^{-2}) with respect to t is r'(t) = -10\cdot t^{-3} (r'(t) = -10*t^{-3}).

Step-by-step explanation:

Let be r(t) = \frac{5}{t^{2}}, which can be rewritten as r(t) = 5\cdot t^{-2}. The rule of differentiation for a potential function multiplied by a constant is:

\frac{d}{dt}(c \cdot t^{n}) = n\cdot c \cdot t^{n-1}, \forall \,n\neq 0

Then,

r'(t) = (-2)\cdot 5\cdot t^{-3}

r'(t) = -10\cdot t^{-3} (r'(t) = -10*t^{-3})

The first derivative of r(t) = 5\cdot t^{-2} (r(t)=5*t^{-2}) with respect to t is r'(t) = -10\cdot t^{-3} (r'(t) = -10*t^{-3}).

5 0
3 years ago
I need help solving this
Gemiola [76]
Since the graphic shows you that both angles across from both of the sides are equal we can tell that both sides are equal. 
Now to solve for the variable all you need to do is make an equation where both of the sides are equal to each other. 
So...8x - 12 = 12x - 18
Now to solve you need to get rid of the constants, or regular numbers. To do this, add 12 to both sides. 
So...8x = 12x - 6
Next, you need to move the variable to one side, do this by subtracting 12x from both sides. 
So... -6x = -6
Finally, divide both sides by -6 to get what the variable equals. 
So...x = 1
Your final answer is both sides equal 1 in.
7 0
3 years ago
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