X - 3y = -8
x + 3y = 8
--------------- Add the equations
2x = =
x = 0
Plug zero back in to either equation and solve for y.
x - 3y = -8
0 - 3y = -8
-3y = -8
divide both sides by -3
y = 8/3
(0, 8/3)
ONE SOLUTION
When you isolate the variable to one side of the equation, you have to use the given operation to simplify the number on the other side of the equal sign.
Ex: 4x + 8 = 40
This is a simple one-step equation, but to solve this, first, you need to subtract 8 from 40.
4x = 40
- 8
4x = 32
Then, you divide 4x by 32.
4x = 32
4x 4
x = 8
However, with multi-step equations you have to do these three important steps.
1.) Distribute - the number that's on the outside of the parentheses, gets multiplied to all the numbers except for the one on the right side of the equal sign
2.) Combine Like Terms - numbers with coefficients like 3x, 6y, or 7a, that have another one like it, you need to add them together and keep the variable.
3.) Simplify - it's almost like combining like terms, except if you have more than one number with coefficient, then again, add all the numbers with the same variable together.
And by the way, coefficient basically is a "fancy" way to say "number with a variable attached".
I hope I helped :)
Answer:
<em>Is a tangent</em>
Step-by-step explanation:
<em>* Great question by the way *</em>
~ By definition, a tangent to circle is a straight line, presently perpendicular to a radius if one. In this case tangent AB should be perpendicular to the radius. If we were to call the center O, we would say AB should be perpendicular to OA. ~
1. Now let us say at the moment that AB is a tangent. If that is so, it should be that m∠A = 90 degrees ( ° ), provided AB is ⊥ to OA by definition.
2. Now the triangle ABO is a right triangle, and with that is should be that Pythagorean Theorem is applied. This can help us prove if AB is a tangent or not. If Pythagorean Theorem is not applicable it would mean ABO is not a right angle triangle, that AB is not ⊥ to OA, and thus can't be a tangent.
3. Let us say x ⇒ side OA, and that side BO = 9 + 8 + 17:
AB^2 + OA^2 = BO^2,
15^2 + x^2 = 17^2,
<em>x = 8</em>
4. Now there are two radii present, OA is only one of them. As radii are ≅, OA = other radii, 8 = 8
5. This proves that Pythagorean Theorem is applicable, that ABO is a right triangle, that m∠A = 90°, and that by definition <em>AB is a tangent</em>
The answer is 7.0 in. because half of 49 is 7 and 7 time 7 is 49.
