Answer: None
Step-by-step explanation:
y=0 and y=-5 don't have any solutions. When you ask if a pair of equations have a solution, that means there is an intersection of the equations. The 2 equations will meet somewhere, and that is the solution. To find the solution, you set the equations equal to each other.
0≠-5
It is obvious that 0 and -5 are not equal to each other. Therefore, there is no solution. Also, y=0 and y=-5 are horizontal lines that are parallel to each other. They will never meet, which means there will be no intersection. No intersection means no solutions.
Answer:
The required equation is
.
Step-by-step explanation:
The equation of line cd is

Slope intercept form of a line is

Where, m is slope and b is y-intercept.
Slope of line cd is 3.
The product of slopes of two perpendicular lines is -1.



Therefore slope of perpendicular line is
.
Point slope form of a line is

Slope of perpendicular line is
and line passing through the point (3,1).



Therefore the required equation is
.
Answer:
Step-by-step explanation:
The swordfish swims at 68 miles per hour because 4•17=68
Answer:
a. 40°
b. 21°
Step-by-step explanation:
a. Reference angle = θ
Opposite = 5
Adjacent = 6
Apply TOA:



(nearest degree)
b. Reference angle = x
Opposite = 5
Hypotenuse = 14
Apply SOH:



(nearest degree)
Hello!
If a you want to find an equation of the line that is parallel to the given line, we must know that if two lines are parallel, then their slope will <em>always</em> have to be equal.
This means that the new equation must have a slope of -1/3.
Also, you would need to substitute the given point (6, 8) into the equation with the slope: -1/3 as well. Following these steps allows you to find the equation of line.
y = -1/3x + b (6, 5)
5 = -1/3(6) + b
5 = -2 + b (add 2 to both sides)
7 = b
Therefore, the equation of the line is y = -1/3x + 7.