The solution of the system of the equations shown is where the equations intersect
--> <u>(-7, 1)</u>
Hope that helps!
Answer:42,660
Step-by-step explanation:
So we are trying to solve for x so in order to do that we need to get x by itself on one side of the equal sign
first we are going to combine like terms on each side of the equal side
so on the left side we see 4+9 these are booth whole numbers not attached to a variable so we can simplify this by adding these two values together making our equation: x/13 = 12
our x is still not by itself so in order to get it by itself we need to get rid of that 13
we need that x is being divided by 13 so in order to get rid a divided value we have to do the opposite to both sides - multiply by 13 on each side!
x/13 x 13 = x
12 x 13 = 156
so our equation is now:
x = 156
is our x by itself on one side of the equal sign? yes! so our x value is 156
We have been given that in a circle an arc length 10 is intercepted by a central angle of 2/3. We are supposed to find the radius of the circle.
We will use arc-length formula to solve our given problem.
, where,
= Arc length,
= Radius,
= Central angle corresponding to arc length.
Upon substituting our given values in arc-length formula, we will get:




Therefore, the radius of the given circle would be 15 units.
- We know, sum of all angles of a triangle is 180°.
- Therefore, by the problem
72 + 64 + (4x+20) = 180
or, 156 + 4x = 180
or, 4x = 180 - 156
or, 4x = 24
or, x = 24 ÷ 4 = 6
<h3><em>Your </em><em>answer </em><em>is </em><em>6</em><em>.</em></h3>