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Luba_88 [7]
3 years ago
10

Simplify your answers to the simplest form with steps

Mathematics
2 answers:
yan [13]3 years ago
7 0
4[2a+b]/c[b+2a] = 4/c.
irakobra [83]3 years ago
6 0
\frac{8a+4b}{bc+2ac}
this when factorised gives\frac{4(2a+b)}{c(2a+b)}
2a+b on the numerator cancels 2a+b on the denominator
it will give\frac{4}{c}*1
\frac{4}{c}
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The area of trapezoid TRAP is 100 m squared
Anastasy [175]
Answer:  30 m ; (or, write as: "30 meters") .
______________________________________________
Explanation:
____________________

Area of a trapezoid, "A" = (1/2) ( b₁ + b₂) h ;
______________________________________________
or, write as:  A = ( b₁ + b₂) h  / 2 ;
___________________________________
in which:  A = area;
              b₁ = length of "base 1" (choose either one of the 2 (two bases);
              b₂ = length of "base 2" (use the base that is remaining);
              h = height of trapezoid;
____________________________________________
From the information given: 
___________________________
A = 100 m² ; 
h = 5 m
b₁ = 10 m
b₂ =  x 
___________________________
Find "x", which is:  "b₂" ;
__________________________
      A = ( b₁ + b₂) h  / 2  ;
_____________________________
Plug in our known values; and plug in "x" for "b₂" ; and solve for "x" ;
_________________________________________________________
  100 m² = [(10m + x) (5m)] / 2  ; Solve for "x" ;
_________________________________________________________
          (10m + x) (5m) = (2)* (100m²) ;
_________________________________________________________
             (5m) (10m + x) = 200 m² ;
___________________________________________
Note:  The distributive property of multiplication:
____________________________________________
    a(b+c) = ab + ac ;
 
    a(b−c) = ab <span>− ac ;
</span>____________________________________________

  We have:  (5m) (10m + x) = 200 m²  ;
____________________________________________
So:    (5m) (10m + x) =  (5m*10m) + (5m * x) ;
                           
                               =  50m² + (5m)x  ;
_______________________________________________
     →  50m² + (5m)x = 200m²  ; 
_______________________________________________
Divide the ENTIRE equation by "5m" ;
_______________________________________________
     → { 50m² + (5m)x } / 5m = (200m² / 5m) ;
_______________________________________________
     →  10m + x   = 40m ; 
________________________________________________
Now, subtract "10m" from EACH side of the equation; to isolate "x" on one side of the equation; and to solve for "x" ;
_______________________________________
     →  10m + x  − 10m  =  40m − 10m ;

to get:

                →    x  =  30 m  ; which is our answer.
___________________________________________________
Answer:  30 m ; (or, write as: "30 meters") .
_____________________________________________________
6 0
3 years ago
Helppppppp ASAP plsss
zhuklara [117]

If p = 2, insert the value of p.

2^3 = 2 x 2 x 2 = 4 x 2 = 8

so p^3 = 8

6 0
3 years ago
What is the answer for<br> 3(x-2)+6x=3x-2+6x
Rudiy27
I think this attachment will help you

8 0
3 years ago
Diana can use the equation y = 7x to calculate her pay, where y represents the amount of pay, and x represents the number of hou
kherson [118]
You have to take the amount of money payed, which in this case is 45.50, and divide it with 7.
8 0
3 years ago
Read 2 more answers
The nth term of a sequence is 2n2² - 4n+4 Work out the 8th term of the sequence. 8th term= Submit Answer Skip for Now​
Marrrta [24]

The nth term of a sequence exists 2n2² - 4n+4 is 36.

<h3>What is PEMDAS' order of operations?</h3>

The order of operations exists as a rule that describes the right sequence of measures for estimating a math expression. We can recognize the order utilizing PEMDAS: Parentheses, Exponents, Multiplication, and Division (from left to right), Addition, and Subtraction (from left to right).

$2*8*2^{2}  - 4*8+4

Follow the PEMDAS order of operations

Calculating the exponents, we get 2² = 4

= 2*8*4 - 4*8+4

= 64-32 +4

= 36

Therefore, the nth term of a sequence that exists 2n2² - 4n+4 is 36.

To learn more about sequences refer to:

brainly.com/question/8662453

#SPJ9

6 0
2 years ago
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