Let's solve your equation step-by-step.<span><span><span><span>−2</span>+<span>5x</span></span>−7</span>=<span><span><span>3x</span>−9</span>+<span>2x</span></span></span>
Step 1: Simplify both sides of the equation.<span><span><span><span>−2</span>+<span>5x</span></span>−7</span>=<span><span><span>3x</span>−9</span>+<span>2x</span></span></span><span>
Simplify: </span><span><span><span>5x</span>−9</span>=<span><span>5x</span>−9</span></span>
Step 2: Subtract 5x from both sides.<span><span><span><span>5x</span>−9</span>−<span>5x</span></span>=<span><span><span>5x</span>−9</span>−<span>5x</span></span></span><span><span>−9</span>=<span>−9</span></span>
Step 3: Add 9 to both sides.<span><span><span>−9</span>+9</span>=<span><span>−9</span>+9</span></span><span>0=0</span>Answer:<span>All real numbers are solutions.</span>
It is X=2 you have to see where it touched line
Answer:
A. the perpendicular bisector of the line segment XY
Step-by-step explanation:
You know that one point equidistant from X and Y is the midpoint of segment XY. The third vertex of an isosceles triangle with XY as its base will also be equidistant from X and Y. That vertex will be located on the perpendicular bisector of XY.
The locus of points of interest is the perpendicular bisector of XY.
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For many geometry problems, it can be helpful to draw a diagram.
Answer:
x = 10
Step-by-step explanation:
You can try the answers to see which works. (The first one does.)
Or, you can solve for the variable:
Divide by 75
... (1/5)^(x/5) = 3/75 = 1/25
Recognize that 25 = 5^2, so ...
... (1/5)^(x/5) = (1/5)^2
Equating exponents, you have
... x/5 = 2
... x = 10 . . . . . multiply by 5
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You can also start by taking logarithms:
... log(75) +(x/5)log(1/5) = log(3)
... (x/5)log(1/5) = log(3) -log(75) = log(3/75) = log(1/25) . . . . simplify the log
... x/5 = log(1/25)/log(1/5) = 2 . . . . . simplify (or evaluate) the log expression
... x = 10 . . . . . multiply by 5
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"Equating exponents" is essentially the same as taking logarithms.