Answer:
44
Step-by-step explanation:
The sum of the angles of a triangle add to 180 degrees.
Call the third angle x
x +34 + 102 = 180
Combine like terms
x +136 = 180
Subtract 136 from each side
x +136-136 = 180 -136
x =44
Answer: You cannot figure out the value without any measurements or tools for that matter.
Step-by-step explanation:
Answer:
The equation of the parabolic function is :
Step-by-step explanation:
The standard equation of a parabola is given by:
where 
represents the vertex of the parabola.
From the graph shown in figure we can find the vertex of the parabola which is the minimum point of parabola and lies st point 
So, we can say:
Plugging in the values of vertex in standard equation of parabola,
Simplifying the equation:
We can find value of 
by plugging in a point from the graph.
Using point (0,-2) which lies on graph.
Plugging in the given point.
Adding 3 to both sides.
∴ 
Plugging in , the equation of parabola can be written as:
Answer:
x2 - 9x - 11
Step-by-step explanation:
Step 1 :
Equation at the end of step 1 :
((((2x2 - 4x) - 3) - x2) - 5x) - 8
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring x2-9x-11
The first term is, x2 its coefficient is 1 .
The middle term is, -9x its coefficient is -9 .
The last term, "the constant", is -11
Step-1 : Multiply the coefficient of the first term by the constant 1 • -11 = -11
Step-2 : Find two factors of -11 whose sum equals the coefficient of the middle term, which is -9 .
-11 + 1 = -10
-1 + 11 = 10
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
x2 - 9x - 11
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