Answer:
p= 2.5
q= 7
Step-by-step explanation:
The lines should overlap to have infinite solutions, slopes should be same and y-intercepts should be same.
Equations in slope- intercept form:
6x-(2p-3)y-2q-3=0 ⇒ (2p-3)y= 6x -2q-3 ⇒ y= 6/(2p-3)x -(2q+3)/(2p-3)
12x-( 2p-1)y-5q+1=0 ⇒ (2p-1)y= 12x - 5q+1 ⇒ y=12/(2p-1)x - (5q-1)/(2p-1)
Slopes equal:
6/(2p-3)= 12/(2p-1)
6(2p-1)= 12(2p-3)
12p- 6= 24p - 36
12p= 30
p= 30/12
p= 2.5
y-intercepts equal:
(2q+3)/(2p-3)= (5q-1)/(2p-1)
(2q+3)/(2*2.5-3)= (5q-1)/(2*2.5-1)
(2q+3)/2= (5q-1)/4
4(2q+3)= 2(5q-1)
8q+12= 10q- 2
2q= 14
q= 7
It’s 28273773737373838383838383
Answer:
The area of the parallelogram is:_______________________________________________________
in² = 1174 ⅛ in² = 1174.125 in² .
_______________________________________________________Explanation:_______________________________________________________Area of a parallelogram:
_______________________________________________________ A = base * height = b * h ;
From the figure (from the actual "question"):
_______________________________________ b = 50.5 in.
h = 23.25 in.
____________________________________________________________Method 1) A = b * h =
= (50.5 in) * (23.25 in) = 1174.125 in² ; or, write as: 1174 <span>⅛ .
</span>
____________________________________________________________Method 2) A = b * h =
= (50 ½ in) * (23 <span>¼ in) =
= (</span>

in) * (

<span> in) ;
</span>
___________________________________________________________Note: "50 ½ " = [(50*2) + 1 ] / 2 =

;
Note: "23 ¼ " = [(23*4) + 1 ] / 4 =

;
____________________________________________________________
→ A = (

in) * (

in) ;
→ A =

in² =

in² ;
→ A = (9393/8) in² =
→
A =
in² = 1174 ⅛ in² = 1174.125 in² .
________________________________________________________
The answer is C. -4n⁴+3n.
Separate the expression by its like terms.
12n-2n⁴-10n-2n⁴+n
12n+(-10n)+n=3n
-2n⁴+-2n⁴=-4n⁴
The simplified expression comes out to -4n⁴+3n.
Sheila is incorrect! I think what she did is think the 38 was actually a 35, which WOULD of made her statement true, but since it's 38, she's very incorrect. Sheila should be using the quotient for the size of each piece. 38 divided by 5 is 7.6. The correct answer is 7.6 inches.