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zimovet [89]
3 years ago
15

Determine whether each point could represent an x-intercept, y-intercept, both, or neither.

Mathematics
1 answer:
kolezko [41]3 years ago
4 0
The answer to your question is E
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If a= 35 then find b
KengaRu [80]

9514 1404 393

Answer:

  35

Step-by-step explanation:

All of the marked angles subtend the same arc, so all have the same measure.

  a = b = c = d = 35

  b = 35

8 0
3 years ago
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
Solve N/3 + (-4)=-2.<br> A. 6<br> B. -18<br> C. 18<br> D. -2
Nana76 [90]

Answer:

A) 6

Step-by-step explanation:

n/3+(-4)=-2

n/3-4=-2

n/3=-2+4

n/3=2

n=2*3

n=6

6 0
3 years ago
A man travels 4 ⅓ miles in 2 ½ hours. what is his speed in miles per hour?
natulia [17]
Approximately 1.7 miles per hour
3 0
3 years ago
A repairman charges $55 for a home visit plus $45 per hour for the time he spends making repairs. How many hours did he work if
levacccp [35]

Answer:

3.5

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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