Y=-6x+10. Y=-6x+3 Solve the system of equations
1 answer:
Given:
The system of equations is
To find:
The solution of given system of equations.
Solution:
Slope intercept form of a line is
where, m is slope and b is y-intercept.
For , slope is -6 and y-intercept is 10.
For , slope is -6 and y-intercept is 3.
Slopes of both lines are but the y-intercepts are difference. So, the two lines are parallel.
Therefore, the given system of equation has no solution.
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Answer:
see explanation
Step-by-step explanation:
If 2 lines are perpendicular then the product of their slopes equals - 1
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Consider the given equations
3x - 4y = 12 ( subtract 3x from both sides )
- 4y = - 3x + 12 ( divide terms by - 4 )
y = x - 3 ← in slope- intercept form
with slope m =
3y = 12 - 4x = - 4x + 12 ( divide terms by 3 )
y = - x + 4 ← in slope- intercept form
with slope m = -
Then
× -
= - 1
Since the product of their slopes = - 1 then the lines are perpendicular
It costs $ 3.4 to fill the hot tub
<h3><u>Solution:</u></h3>Given that, You are putting a rectangular hot tub on your back porch
The rectangular hot tub is of shape cuboid
<em><u>The volume of cuboid is given as:</u></em>
It is 6 feet long, 5 feet wide, and 3 feet deep
Therefore,
length = 6 feet
width = 5 feet
height = 3 feet
<em><u>Thus volume of rectangular hot tub is:</u></em>
Thus volume of rectangular tub is
Convert feet to gallons
We know that,
1 cubic feet = 7.48052 gallon
Therefore,
90 cubic feet = 7.48052 x 90 = 673.247
Thus gallons of water tub can hold is 673.247 gallons
Given that it costs $ 5 per 1000 gallons
1000 gallons = $ 5
Therefore,
1 gallons = $
<em><u>Find for 673.247 gallons</u></em>
673.247 gallons =
Thus it costs $ 3.4 to fill the hot tub