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grandymaker [24]
3 years ago
8

The equation h=kp describes h, the height of a stack of p pennies. A stack of 15 pennies is 24 millimeters tall. What is the val

ue of k, the constant of variation?
Mathematics
1 answer:
slamgirl [31]3 years ago
8 0
You plug in the values so it would be 24=15k. Divide by 15 on both sides so k=24/15=1.6. :)
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Indicate the equation of the given line in standard form. The line with slope 9/7 and containing the midpoint of the segment who
professor190 [17]

Given parameters:

Coordinates of end points =  (2, -3) and (-6,5).​

 Slope of line  = \frac{9}{7}

Unknown:

Equation of the line with the given slope = ?

Solution:

Let us find the coordinates of the mid-point of the line given.

   Since the end points are (2, -3) and (-6,5);

   Midpoint;

            x, y = \frac{x_{1} + x_{2} }{2} , \frac{y_{1} + y_{2} }{2}  

            x, y = \frac{2 + (-6)}{2}  ,  \frac{-3 + 5}{2}   = -2 , 1

The coordinate of the mid point = -2,1

Equation of a line is;

                  y = mx + c

x and y are the coordinates

     m is the slope

     c is the y intercept

We need to find c in order to fully develop our equation;

             y = mx + c

              y = 1 , x = -2 and m = \frac{9}{7}

So,

           1 = \frac{9}{7} x (-2) + c

            c  = 1 + \frac{18}{7}   = \frac{25}{7}

Now, the equation of the line is;

              y = -2x + \frac{25}{7}  

Multiply through by 7,

            7y = -14x + 25

The equation of the line is 7y = -14x + 25

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3 years ago
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2 years ago
What is the value of x ????
Zielflug [23.3K]

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Step-by-step explanation:

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3 years ago
The contrapositive of a conditional statement is "If an item is not worth five dimes, then it is not worth two quarters.”
svetoff [14.1K]

Answer:The converse of the original statement should be"If an item is worth two quarters then it is worth five dimes"


Step-by-step explanation:

Given:The contrapositive of a conditional statement is "If an item is not worth five dimes, then it is not worth two quarters.”

Then the original conditional statement would be "If an item is worth five dimes, then it is worth two quarters.”

Therefore the converse of the original statement should be"If an item is worth two quarters then it is worth five dimes"

5 0
2 years ago
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(8x - 5)(7x-8)<br> Find the product
marissa [1.9K]

Answer:

x=−3

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :  7*x-8-(8*x-5)=0

Pull out like factors :  -x - 3  =   -1 • (x + 3)

Solve  :    -x-3 = 0  

Add  3  to both sides of the equation :    -x = 3

Multiply both sides of the equation by (-1) :  x = -3

3 0
3 years ago
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