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OLga [1]
3 years ago
6

2.) Damian types 110 words in 5 minutes. Howard types 208 words

Mathematics
1 answer:
jekas [21]3 years ago
6 0

Answer:

Step-by-step explanation:

First, divide each persons rate by the number of minutes they typed their words in .

you end up with:

Damian: 55 seconds

Howard: 26 seconds

This tells us that Howard was least and <u>Damian was greater. </u>

Hope this helps :)

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5 Consider this system of equations:<br> 5x + y = -2<br> 2x - 2y=4
Ilia_Sergeevich [38]

Answer:

x  = 0

  y  = -2

Step-by-step explanation:

The given system of equation are:

   5x + y = -2

   2x - 2y = 4  

The problem here is to find x and y from the expression

   5x + y = -2     ----- i

   2x - 2y = 4    ---- ii

 So;

i x 2 :  10x + 2y  = -4     ----  iii

ii x 5 :  10x - 10y  = 20    ----- iv

   iii - iv;   12y  = -24

                  y  = -2

    Now find x;

             5x + y  = -2

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7 0
3 years ago
Which equation has a graph that is perpendicular to the graph of -x + 6y = -12?
serious [3.7K]

Answer:

c) 6x + y = -52  is required equation perpendicular to the given equation.

Step-by-step explanation:

If the equation is of the form    : y = mx  + C.

Here m = slope of the equation.

Two equations are said to be perpendicular if the product of their respective slopes is -1.

Here, equation 1 :  -x + 6y = -12

or, 6y = -12  + x

or, y = (x/6)  - 2

⇒Slope of line 1 = (1/6)

Now, for equation 2  to be  perpendicular:

Check for each equation:

a. x + 6y = -67       ⇒  6y = -67  - x

or, y = (-x/6)  - (67/6)      ⇒Slope of line 2 = (-1/6)

but \frac{1}{6} \times \frac{-1}{6}  \neq -1

b. x - 6y = -52   ⇒  -6y = -52  - x

or, y = (x/6)  + (52/6)      ⇒Slope of line 2 = (1/6)

but \frac{1}{6} \times \frac{1}{6}  \neq -1

c. 6x + y = -52    

or, y =y = -52  - 6x      ⇒Slope of line 2 = (-6)

\frac{1}{6} \times (-6)  =  -1

Hence, 6x + y = -52  is required equation 2.

d. 6x - y = 52  ⇒  -y = 52  - 6x

or, y = 6x   - 52      ⇒Slope of line 2 = (6)

but \frac{1}{6} \times 6  \neq -1

Hence,  6x + y = -52  is  the  only required equation .

3 0
3 years ago
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