Answer: cost of 1 pot of ivy = $12
Cost of 1 rose bush =$ 10
Step-by-step explanation:
Step 1
Let rose bushes be represented as r
and pot of ivy be represented as p
such that Amy who spent 82 dollars on 7 rose bushes and 1 pot of ivy can be expressed as
7 r + p = 82----- eqn 1
Rob who spent 74 on 5 rose bushes and 2 pots of ivy can be expressed as
5r +2 p = 74----- eqn 2
Step 2
Solving
7 r + p = 82----- eqn 1
5r +2 p = 74----- eqn 2
By elimination method Multiply eqn 1 by 5 and eqn 2 by 7
35r+ 5p= 410--- eqn 3
35r+ 14p =518--- eqn 4
Subtracting eqn 4 from eqn 3
9p = 108
p = 108/9
p=12
p = pot of ivy = $12
therefore rose bush wll be ( from equation 1)
7r+ p= 82
7r=82-12
7r= 70 r= 70/7
r= rose bush =$ 10
Answer: The answer is either letter A or letter C
home / math / slope calculator
Slope Calculator
By definition, the slope or gradient of a line describes its steepness, incline, or grade.
Where
m — slope
θ — angle of incline
If the 2 Points are Known
Result
Slope (m) =
ΔY
ΔX
=
-1
5
= -0.2
θ =
arctan( ΔY ) + 360°
ΔX
= 348.69006752598°
ΔX = 5 – -5 = 10
ΔY = -3 – -1 = -2
Distance (d) = √ΔX2 + ΔY2 = √104 = 10.198039027186
Equation of the line:
y = -0.2x – 2
or
y =
- 1 x
5
– -2
When x=0, y = -2
When y=0, x = -10
...............................................................................................................................................
home / math / slope calculator
Slope Calculator
By definition, the slope or gradient of a line describes its steepness, incline, or grade.
Where
m — slope
θ — angle of incline
If the 2 Points are Known
Result
Slope (m) =
ΔY
ΔX
=
5
-1
= -5
θ =
arctan( ΔY ) + 180°
ΔX
= 101.30993247402°
ΔX = -3 – -1 = -2
ΔY = 5 – -5 = 10
Distance (d) = √ΔX2 + ΔY2 = √104 = 10.198039027186
Equation of the line:
y = -5x – 10
When x=0, y = -10
When y=0, x = -2
...............................................................................................................................................
Input Data :
Point A
(
x
A
,
y
A
)
= (3, 2)
Point B
(
x
B
,
y
B
)
= (7, 10)
Objective :
Find the slope of a line that passes through points A and B.
Formula :
Slope
m
=
y
B
−
y
A
x
B
−
x
A
Solution:
Slope
m
=
10
−
2
7
−
3
=
8
4
m = 2
...............................................................................................................................................
Input Data :
Point A
(
x
A
,
y
A
)
= (3, 2)
Point B
(
x
B
,
y
B
)
= (7, 10)
Objective :
Find the slope of a line that passes through points A and B.
Formula :
Slope
m
=
y
B
−
y
A
x
B
−
x
A
Solution:
Slope
m
=
10
−
2
7
−
3
=
8
4
m = 2
Step-by-step explanation: This is the picture, I graphed it
Center: (0, 0)
Angle: 0 rad
Opacity: 1
Width: 10
Height: 6.8
Divide 754 by 13 and you get 58
Now multiply by 9 and you get 522 miles.
Answer: 
Step-by-step explanation:


