Answer:
the height is 5 and the base is 17.
Step-by-step explanation:
X + 1 is the height and 4x + 1 is the base, so we can substitute this into an equation:
( x + 1 ) (4x + 1) = 85
{apply the distributive law}
4x² + x + 4x + 1 =
4x² + 5x + 1 = 85
Take 85 to the other side by -85 each side:
4x² + 5x + 1 - 85 = 85 - 85
4x² + 5x - 84 = 0
{Now we have a quadratic equation}
The roots are either -5.25 or 4. X must be 4 since it must be positive as it is a side length.
Substitute x into the base and height to get the answers.
X + 1 = 4 + 1 = 5
4x + 1 = 16 + 1 = 17
Therefore the height is 5 and the base is 17.
Answer: on the first day, they hiked 9 miles.
On the second day, they hiked 16 miles.
Step-by-step explanation:
Let x represent the distance that the two hikers hiked from the first mountain to the second mountain.
Let y represent the distance that the two hikers hiked from the second mountain to the hollow.
The total distance is 25mi. This means that
x + y = 25 - - - - - - - - - - - - - -1
If the distance between the second mountain and the hollow is 7mi more than the distance from the first mountain to the second mountain, it means that
y = x + 7
Substituting y = x + 7 into equation 1, it becomes
x + x + 7 = 25
2x = 25 - 7
2x = 18
x = 18/2 = 9
y = x + 7 = 9 + 7
y = 16
Answer:
I think each plate will get 1/2 of a brownie \
Step-by-step explanation:
Answer:
Step-by-step explanation:
Assuming the system is solvable in the first place, create an augmented matrix of coefficients from the equations. Then put the matrix into reduced row echelon form.
Example is attached.
"Demonstrate by solving the following system."
You need to provide the system of equations.
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