Answer:
The area of the building in terms of y in its simplest form is 12(y + 2)
Step-by-step explanation:
Since the area of a rectangle is A = LW where L = length and W = width. From our question, the width of the rectangular building is 3 feet. So, W = 3 feet and its length is 4y + 8 feet. So, L = 4y + 8 feet.
So, the area of the building in terms of y is A = LW
= (4y + 8) × 3
Factorizing out 4 from the expression, we have
= 4(y + 2) × 3
= 12(y + 2)
So, the area of the building in terms of y in its simplest form is 12(y + 2)
Answer:
y = 5/6x - 5.167
Or
y = 5/6x - 31/6
Step-by-step explanation:
The equation of a line
y = mx + c
Step 1: find the slope
m = y2 - y1 / x2 - x1
Given points
( 0 , -7) ( 5 , -1)
x1 = 0
y1 = -7
x2 = 5
y2 = -1
Insert the values into the equation
m = -1 - (-7) / 5 - 0
m = -1 + 7 / 5
m = 6/5
y = 6/5x + c
Step 2: sub any of the two points given into the equation
y = 5/6x + c
( 5 , -1)
x = 5
y = -1
-1 = 5/6(5) + c
-1 = 5*5/6 + c
-1 = 25/6 + c.
c = -1 - 25/6
LCM = 6
c = -6 - 25 / 6
c = -31/6
c = -5.167
Step 3: sub c into the equation
y = 5/6x + c
y = 5/6x - 31/6
Or
y = 5/6x - 5.167
The equation of the line is
y = 5/6x - 5.167
Answer
<span>c) $567
</span>
Explanation
The income is $42,000
6% 0f $42,000 = 6/100 ×42,000
= 0.06×42,000
= $2,520
This is more than your medical expense. This means that the portion that your medical expense that you can deduct is the whole amount, $567.
Answer: 35
Each triangle adds up to 180 degrees by adding the two angles that you already have the value of (37+108) and subtract it from 180 to get the final angle(x) you get 35
Therefore x=35 :)
