Answer:
x = -2.5
Step-by-step explanation:
Step 1: Write equation
-6.2 - 12.6x = 5.8 - 7.8x
Step 2: Solve for <em>x</em>
<u>Add 12.6x on both sides:</u> -6.2 = 5.8 + 4.8x
<u>Subtract 5.8 on both sides:</u> -12 = 4.8x
<u>Divide both sides by 4.8:</u> x = -2.5
Step 3: Check
<em>Plug in x to verify if it's a solution.</em>
-6.2 - 12.6(-2.5) = 5.8 - 7.8(-2.5)
-6.2 + 31.5 = 5.8 + 19.5
25.3 = 25.3
A tautology will have an infinite number of solutions, as it is true for all possible values of the variable by definition.
Example: 3(x+2) = 3x+6
All other linear equations in one variable will have one solution, which may include values that are undefined or indeterminate.
Examples:
... 3x-2 = 7 . . . solution is x=3
... x = 0/0 . . . . solution is an indeterminate number
... x = 1/0 . . . . solution is undefined
2(-6^2)+5(2^2)
2(36)+5(4)
72+20
92
Answer:
Step-by-step explanation:
They are all solved kind of the same way. If the vertex of the angle is outside of the circle, subtract the intercepted arcs and divide by 2
for 15) one arc is marked but you can figure out the other arc because there are 360 degrees in a circle 360 - 102 = 258. So the two arcs are 102 degrees and 258 degrees.
some of the problems you can set up the equation and solve.
17) 63 = {(360-x) - x} /2 multiply by 2
126 = {(360-x) - x} combine like terms
126 = 360 - 2x subtract 360
-234 = -2x divide by -2
117 = x
? = 117 degrees
good luck
