Answer:
you need to be more specific like which ones are x or y
Step-by-step explanation:
ask it again or comment the specifics
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") .
_____________________________________________________
<span> 7x+2y=5;13x+14y=-1 </span>Solution :<span><span> {x,y} = {1,-1}</span>
</span>System of Linear Equations entered :<span><span> [1] 7x + 2y = 5
</span><span> [2] 13x + 14y = -1
</span></span>Graphic Representation of the Equations :<span> 2y + 7x = 5 14y + 13x = -1
</span>Solve by Substitution :
// Solve equation [2] for the variable y
<span> [2] 14y = -13x - 1
[2] y = -13x/14 - 1/14</span>
// Plug this in for variable y in equation [1]
<span><span> [1] 7x + 2•(-13x/14-1/14) = 5
</span><span> [1] 36x/7 = 36/7
</span><span> [1] 36x = 36
</span></span>
// Solve equation [1] for the variable x
<span><span> [1] 36x = 36</span>
<span> [1] x = 1</span> </span>
// By now we know this much :
<span><span> x = 1</span>
<span> y = -13x/14-1/14</span></span>
<span>// Use the x value to solve for y
</span>
<span> y = -(13/14)(1)-1/14 = -1 </span>Solution :<span><span> {x,y} = {1,-1}</span>
<span>
Processing ends successfully</span></span>
Answer:
9 balls in each row.
Step-by-step explanation: