Answer:
Step-by-step explanation:
a) Mark any two points in line a
(0,7) ; (5,-3)
Find the slope
slope = y2 - y1 /x2-x1
Equation: y-y1 = m(x-x1)
y - 7 = -2(x - 0)
y - 7 = -2x
y = -2x + 7 --------> line a
c) equation of line b
(2,-1); slope = -2 {as b line is parallel to line a}
y - y1 =m(x-x1)
y -(-1) = -2*(x - 2)
y + 1 = -2x - 2*-2
y + 1 = -2x + 2
y = -2x + 2 -1
y = -2x +1 ------> equation of line b
Answer:
x = -3
In-Depth Steps:
1.) Start with the bottom equation:
2.) Set alone on one side of the equal sign. Your equation will look like
.
3.) Plug in for
in the first equation. You will get
.
4.) Distribute. Your equation now looks like this: .
5.) Combine like terms. You will get .
6.) Subtract 6 from both sides. You get . We can learn that Y=0.
7.) Go back to either equation and put 0 in for y.
8.) In the top equation, it would look like and the bottom equation would look like
. We basically got our answer of
, but we will plug it into the
equation, and in-fact, we get x = -3.
Answer:
Step-by-step explanation:
I have reproduced a diagram of the question in the attachment.
To do a price comparison, we simply find the areas of both the deck and garden in Plan A and Plan B.
In Plan A,
Deck Measures 18 feet by 25 feet
Garden measures 9 feet by 12 feet
Area of Garden = 12 X 9 =108 square feet
Area of Deck (in Gray) = (18 X 25) - (12 X 9) =450-108 =342 square feet
Cost of Garden =$1.40 X 108=$151.2
Cost of Deck = $4.20 X 342=$1436.4
Total Cost for Plan A= $151.2+ $1436.4=$1587.6
In Plan B
Deck Measures 16 feet by 20 feet
Garden has a radius of 5 feet
Area of Garden =
Area of Deck (in Gray) = (16 X 20) - ( ) =320-78.5 =241.5 square feet
Cost of Garden =$1.40 X 78.5=$109.9
Cost of Deck = $4.20 X 241.5=$1014.3
Total Cost for Plan B= $109.9+ $1014.3=$1124.2
Total Cost for Plan A=$1587.6
Total Cost for Plan B=$1124.2
Plan B is less expensive by $1587.6-$1124.2= $463.4
