Tutors Answer Your Questions about Equations (FREE)
Question 880823: Give the slope-intercept form of the equation of the line that is perpendicular to –7x + 3y = 14 and contains P(–1, –9).
First find the slope of the given equation
-7x + 3y = 14
add 7x on both sides of the equation
3y = 7x+14
Divide everything by 3
3y/3 =7x/3 + 14/3
y =7x/3 + 14/3
Remember y = mx + b where m =slope and (0,b) is the y intercept
Therefore the slope of this equation is 7/3
In order to have an equation that is perpendicular the slope must be the opposite reciprocal therefore the slope of the perpendicular equation is -3/7
Now using the perpendicular slope and points given solve the equation y = mx +B
for b by plugging in the x, y and slope.
y = mx + b
-9 = (-3/7)(-1) + b
-9 = 3/7 + b
subtract 3/7 on both sides
-9 -(3/7) = b
b = 66/7
Now plugging in our perpendicular slope and b into the y = mx + b the equation of the perpendicular line is formed
y = (-3/7)x - 66/7
Click here to see answer by BigToosie(32) |
Question 880867: Simplify: 7x-[2(x+3)]-4
1. clean up the inside bracket
7x -[2(x+3)]-4
7x-[2x+6]-4
2. Distribute the negative sign
7x-[2x+6]-4
7x-2x-6-4
3. Combine like terms by adding or subtracting
7x-2x-6-4
5x-10
Factor
5x-10
5(x-2)
Click here to see answer by Fombitz(32388)  |
Question 880867: Simplify: 7x-[2(x+3)]-4
1. clean up the inside bracket
7x -[2(x+3)]-4
7x-[2x+6]-4
2. Distribute the negative sign
7x-[2x+6]-4
7x-2x-6-4
3. Combine like terms by adding or subtracting
7x-2x-6-4
5x-10
Factor
5x-10
5(x-2)
Click here to see answer by BigToosie(32) |
Question 880886: The perimeter of an equilateral triangle is 26 after each of the sides is increased by 2 units.
If s is the length of the side of the original triangle, write an equation for the new perimeter in terms of s.
it wants me to write the expression out.
my answer would be
s = 26-(2*3)
any help writing this out would be appreciated
Click here to see answer by josgarithmetic(39617) |
Question 881671: I have an algebra question that is eluding me at the moment. 5x - 20 divided by 2 equals 15. I think you would multiply by 2 on either side,but that way gives me x = 70 which does not check out. Please help.
Thanks Mark Maxey
Click here to see answer by Fombitz(32388)  |
Question 881735: Really not good at word problems can anyone help me?
Suppose that the length of a certain rectangle is 2 meters less than four times its width. The perimeter of the rectangle is 56 meters. Find the length and width of the rectangle.
And, The perimeter of a triangle is 42 inches. The second side is 1 inch more than twice thr first side, and the third side is 1 inch less than three times the first side. Find the lengths of the three sides of the triangle.
Click here to see answer by ewatrrr(24785)  |
Question 881735: Really not good at word problems can anyone help me?
Suppose that the length of a certain rectangle is 2 meters less than four times its width. The perimeter of the rectangle is 56 meters. Find the length and width of the rectangle.
And, The perimeter of a triangle is 42 inches. The second side is 1 inch more than twice thr first side, and the third side is 1 inch less than three times the first side. Find the lengths of the three sides of the triangle.
Click here to see answer by lwsshak3(11628) |
Question 882087: We are to find the value of X^4+Y^4+Z^4 when X, Y, Z are real numbers which satisfy the following three equalities:
X+Y+Z=3
X^2+Y^2+Z^2=9
XYZ=-2
Firstly it follows from the first 2 equalities that:
XY+YZ+ZX= A
Next using:
(X^2+Y^2+Z^2)^2=X^4+Y^4+Z^4+B ( (xy)^2+(yz)^2+(zx)^2 )
we have:
X^4+Y^4+Z^4= C
Find A, B, C
I tried to solve it by substituting by X in the first 3 equations but I can't seem to get a value for X or Y to solvr it please help
Click here to see answer by richwmiller(17219)  |
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