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In-s [12.5K]
3 years ago
5

Solve this equation: –9h – 6 + 12h + 40 = 22. Explain how you got your answer Please

Mathematics
2 answers:
goldenfox [79]3 years ago
6 0
Explanation/steps

1) Combine like terms
3h + 34 = 22

2) subtract 34 from both sides of the equation
3h + 34 - 34 = 22 - 34
3h = -12

3) Divide 3 from both sides of the equation
3h/3 = -12/3
h = -4

Therefore, h = -4
h =
jeka57 [31]3 years ago
4 0
We first group the like terms
-9h + 12h - 6 + 40 = 22
We now make h the subject
-9h + 12h = 2 + 6 - 40
Evaluate
3h = -12
h = -12/3
h = -4
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The area of a rectangle is 980 in squared. the ratio of the length to the width is 5 : 4. find the length and the width.
ella [17]
Answer:   The length of the rectangle is 35 in.

                 The width of the rectangle is 28 in.
_________________________________________________________
Explanation:
_________________________________________________________
The formula for the area, "A", of a rectangle:

Area (A) = length (L) * width (w) ; 
 
  that is:   "  A  =  L  *  w  "  ;

A = 980 in²  (given);

ratio of the length to the width is:  " 5 : 4 " (given); 

→   Find the length (L) and the width (w).
_________________________________________________________

→  980 in²  =  (5x) * (4x) ; 

in which:  " 980 in² " is the area of the triangle; 

                 " 5x" = the length (L) of the rectangle, for which we shall solve; 

                 " 4x" = the width (w) of the rectangle, for which we shall solve.
_______________________________________________________
If we find solve for "x" ; we can solve for  "5x" and "4x" (the "length" and the "width", respectively);  by plugging in the solved value for "x" ; 
_______________________________________________________

   →  980 in²  =  (5x) * (4x) ; 

   ↔   (5x) * (4x) = 980 in²  ; 

   →   (5x) * (4x) = (5) * (4) * (x) * (x)  = 20 * x² = 20x² ;

   →  20x²  =  980 ;

Divide each side by "10" ; by canceling out a "0" on each side of the equation:

   →  2x² = 98 ; 

Now, divide each side of the equation by "2" ;

   → 2x² / 2  =  98 / 2 ; 

to get:  

→  x² = 49 ; 

Now, take the "positive square root" of each side of the equation;  (since a "length or width" cannot be a "negative value") ; 
    to isolate "x" on one side of the equation; & to solve for "x" ; 

→  ⁺√(x²) = √49 ; 

to get:

→  x = 7 ;
______________________________________________________
Now, we can solve for the "length" and the "width" ; 

→  The length is:  "5x" ;   

     5x = 5(7) =  " 35 in " ; 
______________________________________________________
→  The width is:  "4x" ; 

     4x =  4(7) =  "28 in."
______________________________________________________
Let us check our answer:

    →  A = L * w ; 

    →  980 in² = ?  35 in. * 28 in. ?? ; 

   Using a calculator:  "35 * 28 = 980" .  Yes!   ;
____________________________________________________
 { Also note:  " in * in = in² " ?  Yes! } .
____________________________________________________
3 0
3 years ago
Can someone explain this, please
xenn [34]

Answer:

its the 3 one

Step-by-step explanation:

3 0
3 years ago
Given that BDFHJ ~ QSUWY, what is YQ?
Artyom0805 [142]
YQ/SQ = JB/DB
YQ/72 = 60/45
YQ = 72*(60/45) = 96

Selection D is appropriate.
5 0
3 years ago
Read 2 more answers
SOLVING ABSOLUTE VALUE EQUATION
Ratling [72]

Answer:

1. x=27

2. x=11 or x=-7

3. x=4

4. x=1 or x=\frac{1}{3}

5. x=12

6. x=11 or x=-1

7. x=8

8. x=3 or x=1

9. x=\frac{13}{2} or x=-4

10.x=7 or x=1

Step-by-step explanation:

For the first 8, the absolute value portion is just substituted in for x, so we can skip some of the repeated work that would occur in these. For the absolute value problems, there are two solutions each. When you remove an absolute value, you have to add a plus or minus to each side and solve for each.

1. 5x+9=144\\5x=135\\x=27

2. |3x-6|=27\\3x-6=27\\3x=33\\x=11\\\\3x-6=-27\\3x=-27\\x= -7

3. \frac{x}{7-3} =1\\\frac{x}{4} =1\\x=4

4. |12x-8|=4\\12x-8=4\\12x=12\\x=1\\\\12x-8=-4\\12x=4\\x=\frac{4}{12} \\\\x=\frac{1}{3}

5. \frac{2}{3}x-11=-3\\\frac{2}{3}x=8\\x=\frac{24}{2}\\ x=12

6. |2x-10|=12\\2x-10=12\\2x=22\\x=11\\\\2x-10=-12\\2x=-2\\x=-1

7. \frac{4x-5}{3} =9\\4x-5=27\\4x=32\\x=8

8. |8x-16|=8\\8x-16=8\\8x=24\\x=3\\\\8x-16=-8\\8x=8\\x=1

9. |4x-5| +15=36\\|4x-5|=21\\4x-5=21\\4x=26\\x=\frac{26}{4} \\x=\frac{13}{2} \\\\4x-5=-21\\4x=-16\\x=-4

10. 6|3x-12|-5=49\\6|3x-12|=54\\|3x-12|=9\\3x-12=9\\3x=21\\x=7\\\\3x-12=-9\\3x=3\\x=1

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3 years ago
The graph of the function f(x)=2x+5/x+3
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What’s the yintercept of the function?
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