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s344n2d4d5 [400]
3 years ago
6

Solve for x and y in the following sequences:

Mathematics
1 answer:
elena55 [62]3 years ago
4 0

Answer:

a) x=4.1,y=6.8 b) x= ,y=

Step-by-step explanation:

a)Tn= a+(n-1)d

a=1.4

d=unknown

to find d use the terms given to solve

using the fourth term

9.5=1.4 + (4 -1)d

9.5= 1.4+(3)d

9 5-1.4=3d

8.1=3d

8.1/3=3d/3

2.7 =d

To find x

Tn=a+(n-1)d

x=1.4+(2-1)2.7

x= 1.4+(1×2.7)

x=1.4+2.7

x=4.1

To find y add 2.7 to x

y=4.1+2.7

y=6.8

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Explanation:
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or, write as:  A = ( b₁ + b₂) h  / 2 ;
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in which:  A = area;
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Note:  The distributive property of multiplication:
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    a(b+c) = ab + ac ;
 
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</span>____________________________________________

  We have:  (5m) (10m + x) = 200 m²  ;
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So:    (5m) (10m + x) =  (5m*10m) + (5m * x) ;
                           
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     →  10m + x  − 10m  =  40m − 10m ;

to get:

                →    x  =  30 m  ; which is our answer.
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