<span>2y = 4x + 8 ------> y = 2x + 4
4y = 4x + 20 ------> y = x+5
2x+4 =x+5
x = 1
y=x+5=1+5=6
Check:
</span>2*6 = 4*1 + 8 , 12 =12
4*6 = 4*1 + 20, 24 =24<span>
x=1,y=6
(1,6)
</span>
There are 12 inches in 1 foot. You know that the area of a square is or base times hight. A square has the same base and height. So we can say (base)^2. If the base is 12 inches in this case 12^2 = 144. Answer: 144 square inches.
B. No, the rectangle cannot have x = 20 and y = 11 because x + y ≠ 32
Perimeter = 2(l + w)
Perimeter = 64
Assuming: P = 64; w = 11 ; l = ?
64 = 2(l + 11)
64/2 = l + 11
32 - 11 = l
length = 21.
<h3>Exact area = 12pi - 9*sqrt(3) square inches</h3><h3>Approximate area = 22.1106545749577 square inches</h3>
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Work Shown:
Assuming the chord is horizontal along with the diameter, then this means the two smallest minor arcs are both 30 degrees each. This leaves the northern most arc to be 180-30-30 = 120 degrees in measure
A = area of northern sector (you can think of it as a pizza slize)
A = (angle/360)*pi*r^2
A = (120/360)*pi*6^2
A = 12pi
B = area of triangle
B = (1/2)*side1*side2*sin(included angle)
B = (1/2)*6*6*sin(120)
B = 18*sqrt(3)/2
B = 9*sqrt(3)
C = area of shaded region
C = A - B
C = 12pi - 9*sqrt(3) .... exact area
C = 22.1106545749577 ... use a calculator to get the approximate area
Answer:
-8n + 9
Step-by-step explanation:
Given that,
A = -3n + 2
B = 5n - 7
Before solving you have to know that,
( + ) × ( + ) = ( + )
( - ) × ( - ) = ( + )
( + ) × ( - ) = ( - )
Let us solve now.
A - B
-3n + 2 -(5n - 7)
-3n + 2 - 5n + 7
Combine like terms
-3n - 5n + 2 + 7
-8n + 9
Hope this helps you.
Let me know if you have any other questions :-)