Answer:
Step-by-step explanation:
a: 2(-3x - 2)/2 = -3x - 2
c: -(6x +4)/2 = (-6x - 4)/2
d: -3x -2 when the brackets are removed and the terms are multiplied by -1/2
There are standard formulas for this type of problem. However, it can also be solved by a combination of simple steps.
First, the shortest distance from the point (3,5) to the line y = x +4 (line1) will be along a straight line perpendicular to line1. Give the perpendicular line the name line2. Since the slope of line1 is 1, the slope of line2 will be -1.
Second, since line2 must go through (3,5) and also have a slope of -1, the point slope form can be used for line2:
y - 5 = (-1) (x -3)
So the equation of line2 is y = -x +8.
Third, the point of intersection of line1 and line2 can be found by solving the set of equations:
y = x +4
y = -x + 8
The solution of this set of two equations is x = 2, y = 6 i.e. the point (2,6) .
Fourth, the distance formula can be used to find the distance between (3,5) and (2,6)
d = sqrt( (3-2)2 + (5-6)2 ) = sqrt(2)
This is the desired distance.
<span>The answer is B. compound.
An element is composed of only one kind of atom. You cannot separate molecule into simpler substances. For example, hydrogen (H) and oxygen (O) are elements each made of only one atom. Two or more different atoms bonded to one another are a compound. For example, 2 atoms of hydrogen (H) and 1 atom of oxygen are bonded to one another and form water. Thus, water is compound. Mixtures consist of two or more substances that are not chemically combined. Solutions and colloids are mixtures.</span>
Answer:
513.247
Step-by-step explanation:
