It's easier I think to take it and go "what can I add together than makes 17, yet multiplies to 28"
although, I don't think this is a perfect square, either
(x+7)(3x-4) = 0
heres the factored form, but I couldn't even begin to say how I got it, all I know is that it works
Answer: x = -2 and x = -1
Explanation:
The solution of an equality is the set of values of the unknown for which both members are equal. In this case, the values of x for which the two functions are equal.
The table shows three values of x for which the outputs of both f(x) and g(x) are equal. Those values of x are the solutions of the equality f(x) = g(x).
Such points are:
(-2,4) and (-1,2).
Realize that means that for x = -2 and x = -1, the values of both functions f(x) and g(x) are the same.
So, according to the table, x = -2, and x = -1 are solutions to f(x) = g(x)
The answer is 2 √2.
The problem can be simplified by changing the square roots to look like this:
√(8y/y)
Simplify within the square root and you get this:
√8
Factor √8:
√4 √2
Simplify √4:
2 √2
Answer:
he made 6 deliveries.
subtract $4.25 from his total, $17.15. you get $12.9. then divide that by $2.15 and it gives you 6.
The intersection line of two planes is the cross product of the normal vectors of the two planes.
p1: z=4x-y-13 => 4x-y-z=13
p2: z=6x+5y-13 => 6x+5y-z=13
The corresponding normal vectors are:
n1=<4,-1,-1>
n2=<6,5,-1>
The direction vector of the intersection line is the cross product of the two normals,
vl=
i j k
4 -1 -1
6 5 -1
=<1+5, -6+4, 20+6>
=<6,-2,26>
We simplify the vector by reducing its length by half, i.e.
vl=<3,-1,13>
To find the equation of the line, we need to find a point on the intersection line.
Equate z: 4x-y-13=6x+5y-13 => 2x+6y=0 => x+3y=0.
If x=0, then y=0, z=-13 => line passes through (0,0,-13)
Proceed to find the equation of the line:
L: (0,0,-13)+t(3,-1,13)
Convert to symmetric form:

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