We want to find the coeficient of the y terms when added together so find all the y terms
+12y and +2y
we add them together
12y+2y=(12+2)y=(14)y=14y
coeficient is 14
the constant is the number that is set already or the number that doesn't have it multiplied by a placeholder exg. 4 is a constnat but 4x is not so find the constants
+5 and +8
we add
5+8=13
the constant is 13
y coeficient=14
constant=14
Answer:
24
Step-by-step explanation:
Keep in mind that exterior angles are mentioned. So let's find the interior ones. Note that the interior and exterior angles are forming straight lines. So something plus 84 equals 180 degrees.
180-84=96
180-120=60
The sum of three angles of a triangle is 180 degrees. X is an angle. So we can form an equation to represent this. Then just solve for x!
96+60+x=180
156+x=180
x=24
Answer:
Domain: All real numbers
Range: y≤3
Step-by-step explanation:
The given function is
This is a polynomial function.
The domain is set of all values of x, that makes this function defined.
Since polynomial functions are defined everywhere, the domain is all real numbers.
To find the range we put the function in vertex form:
The maximum value is 3
The function turns downward, hence the range is:
1 gallon = 8 pints, so 2 gallons = 16 pints.
If each container can hold one pint, then she will need 16 containers.
Answer:
x=72 and the exterior angle is 154
Step-by-step explanation:
We will call the unknown angle in the triangle y. Angle y and the angle (2x +10) form a straight line so they make 180 degrees.
y + 2x+10 =180
Solve for y by subtracting 2x+10 from each side.
y + 2x+10 - (2x+10) =180 - (2x+10)
y = 180-2x-10
y = 170-2x
The three angles of a triangle add to 180 degrees
x+ y+ 82 = 180
x+ (170-2x)+82 = 180
Combine like terms
-x +252=180
Subtract 252 from each side
-x+252-252 = 180-252
-x = -72
Multiply each side by -1
-1*-x = -72*-1
x=72
The exterior angle is 2x+10. Substitute x=72 into the equation.
2(72)+10
144+10
154
