Answer:
Width of the rectangle = 5 inches
Length of the rectangle = 20 inches
Step-by-step explanation:
Let us assume the width of the rectangle = m in
So, the length of the rectangle = 4 (Width) = (4 m) in
Perimeter of the rectangle = 50 inches
Now, Perimeter of the Rectangle = 2 (LENGTH + WIDTH)
⇒ 2( m + 4m) = 50
or, 2(5m) = 50
⇒ 10m = 50 or, m = 50/10 = 5
⇒ m = 5
So, the width of the rectangle = 5 inches
and the length of the rectangle = 4 m = 4 x 5 = 20 inches
Say x = 12 and y = 4
12 - 4 = 8
Number 1
2(12) - 4(4) = 8
24 - 16 = 8
Number 1 is your Answer
Answer:
see explanation
Step-by-step explanation:
Using the Remainder theorem
If f(x) is divided by (x - h) then f(h) = remainder, thus
f(3) = 3³ + a(3)² + b(3) + 4 = 10, that is
27 + 9a + 3b + 4 = 10
9a + 3b + 31 = 10 ( subtract 31 from both sides )
9a + 3b = - 21 → (1)
f(- 1) = (- 1)³ + a(- 1)² + b(- 1) + 4 = 6, that is
- 1 + a - b + 4 = 6
a - b + 3 = 6 ( subtract 3 from both sides )
a - b = 3 → (2)
Rearrange (2) expressing a in terms of b
a = 3 + b → (3)
Substitute a = 3 + b into (1)
9(3 + b) + 3b = - 21 ← distribute and simplify left side
27 + 9b + 3b = - 21
12b + 27 = - 21 ( subtract 27 from both sides )
12b = - 48 ( divide both sides by 12 )
b = - 4
Substitute b = - 4 into (3)
a = 3 - 4 = - 1
Hence a = - 1 and b = - 4
L*W= 36
Rewrite to get:
l = 36 / w or w = 36 / l
Either one show =s the inverse relationship between w and l
Equation for x and y graph:
y = 36 / x
Answer:
area of sector dfe=(360-110)/360×πr²=250/360×22/7×4²=34.9=35ft²
