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fredd [130]
3 years ago
5

What is the slope of the line graphed on the coordinate plane?

Mathematics
1 answer:
marissa [1.9K]3 years ago
4 0

y= mx + b

m is always the slope

b is the y intercept

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Help I need it now!!<br> T14= 46, and t20= 100, find t3, t7, and tn
Vinil7 [7]

Answer:

t_3 = -53\\\\\\t_7 = -17\\t_n= -80 +9n

Step-by-step explanation:

Arithmetic sequence:

       \sf \boxed{t_n=a+(n-1)d}

Here a is the first term and d is the common difference.

      t_{14}= 6    ⇒  \sf a + 13 d = 46  ------------(I)

     \sf t_{20} = 100 ⇒   a + 19d = 100 ---------(II)

Subtract equation (I) from (II)

(I1)    a + 19d = 100

(II)    a + 13d   =  46

      <u>-    -            -</u>

               6d = 54

                d = 54 ÷ 6

                 \sf \boxed{d = 9}

Substitute d = 9 in equation(I) and find 'a',

    a + 13*9= 46

     a + 117  = 46

              a = 46 - 117

              a = -71

         

\sf t_3 = -71 + 2*9

   = -71 + 18

   = -53

          \sf t_7 = -71 + 6*9

              = -71 + 54

              = -17

\sf t_n= -71 + (n-1)*9

    = -71 + 9*n - 1 *9

    = -71 + 9n - 9

    = -71 - 9 + 9n

     = - 80 + 9n

   

   

5 0
1 year ago
H + 52 72<br> ———- = —-<br> 70. 56
oee [108]

Answer:

h = 38

Step-by-step explanation:

\frac{h + 52}{70}  = \frac{9}{7}

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h + 52 =  \frac{9 \times 70}{7}

h + 52 =  \frac{630}{7}

h + 52 = 90

h = 90 - 52

h = 38

the answer is 38.

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boyakko [2]

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