Answer:
y=-6/5x - 1
Step-by-step explanation:
Slope intercept form is y=mx+b so first lets get it into correct order by subtracting the 6x to the other side.
6x-6x+5y=-5-6x
This gives you
5y=-6x-5
Now you need to isolate the y since the 5 is being multiplied by the variable "y" we need to divide to to separate. Divide all terms by 5.
5y/5=-6/5x+(-5)/5
This gives you your final answer:
y=-6/5x - 1
7X +3 equals 17: solve for x
Help! X= 2
5x2-3x=25
Divide each term by 5:
x^2 - 3/5x = 5
Make a trinomial square of the left side by taking the square of half of the coefficient of x.
The coefficient of x is -3, so the square would be (-3/10)^2
Add that to both sides of the equation.
Now you have:
x^2 - 3/5x + (-3/10)^2 = 5 + (-3/10)^2
Simplify both sides:
x^2 -3/5x +9/100 = 509/100
Factor the trinomial:
(x-3/10)^2 = 509/100
Solve for x, , take the square root of both sides:
x-3/10 = +/-√509 / 100
Simplify the right side:
x-3/10 = +/-√509/10
Add 3/10 to both sides:
X = +/-√509/10 + 3/10 ( this is the exact form)
You can then find the decimal answer if needed.
The tray measures 10 * 12 * 2 = 240 cubic inches
Since a gallon is 231 cubic inches, it will just fit into the tray.
The paint will be about a tenth of an inch from the top of the tray.
Answer:
Step-by-step explanation:
We want to write the equation of a circle with a diameter of 10 units centered on (-2, 1).
Recall that the equation of a circle has the standard form:
Where (<em>h, k</em>) is the center and <em>r</em> is the radius.
Since our diameter is 10, our radius is 5.
And since the center is at (-2, 1), <em>h</em> = -2 and <em>k</em> = 1.
Substitute:
And simplify. Hence, our equation is:
