Answer:
a = 3
b = 2
c = 0
d = -4
Step-by-step explanation:
Form 4 equations and solve simultaneously
28 = a(2)³ + b(2)² + c(2) + d
28 = 8a + 4b + 2c + d (1)
-5 = -a + b - c + d (2)
220 = 64a + 16b + 4c + d (3)
-20 = -8a + 4b - 2c + d (4)
(1) + (4)
28 = 8a + 4b + 2c + d
-20 = -8a + 4b - 2c + d
8 = 8b + 2d
d = 4 - 4b
Equation (2)
c = -a + b + d + 5
c = -a + b + 4 - 4b+ 5
c = -a - 3b + 9
28 = 8a + 4b + 2c + d (1)
28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b
28 = 6a - 6b + 22
6a - 6b = 6
a - b = 1
a = b + 1
220 = 64a + 16b + 4c + d (3)
220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b
220 = 60b + 100
60b = 120
b = 2
a = 2 + 1
a = 3
c = -3 - 3(2) + 9
c = 0
d = 4 - 4(2)
d = -4
Answer: The perimeter of Martha's wooden border = 44 feet.
Step-by-step explanation:
Given: The formula to find the perimeter = 2w + 2l. , where w = width and l = length
If l= 12 feet and w = 10 feet
Then, the perimeter of Martha's wooden border = 2(10)+2 (12) feet
The perimeter of Martha's wooden border = 20+24 feet
The perimeter of Martha's wooden border = 44 feet
Therefore, the perimeter of Martha's wooden border = 44 feet.
8 is a whole number, so this will be the whole number part of our mixed number.
0.25 is a decimal, where 25 is in the HUNDREDths place, so we write 25 as a fraction over 100.

Simplify by dividing 25 to the numerator and denominator.


So our fraction is

0.55 is a decimal, where 55 is in the HUNDREDths place, so we write 55 as a fraction over 100.

Simplify by dividing 5 to the numerator and denominator.


So our fraction is


To convert this to a decimal, just divide 5 / 8
Let's start with the given arc and its angle.
The angle YWX is going to be half the arc length.
YWX = 1/2 (226) = 113
Angles VWX and YWX form a linear pair (or are supplementary angles), which means that their sum is 180 degrees.
(15x - 8) + 113 = 180
15x + 105 = 180
15x = 75
x = 5
Hope this helps!
In any linear equation the coefficient of the x-term represents ALWAYS the slope.
So it is B. The slope of the line