Answer:x=2.28,y=-26.88
Step-by-step explanation:
Answer:
A: 180° B: 360° C: 540°
Step-by-step explanation:
A: The measures of interior angles of a triangle sum to 180°. Since figure ABC is a triangle, the interior angles of figure ABC sum to 180°.
B: We can see the quadrilateral ACDE is a trapezoid. If you can see, the trapezoid can be split into two triangles if you connect points C and E. As U mentioned before, the measures of interior angles of a triangle sum to 180°. Since we know figure ACDE can be split into <u>two triangles</u> we have to do: 180x2 which is 360°.
C: Now that we know the Pentagon ABCDE can be split into 3 triangles(1 from figure ABC and 2 from figure ACDE), we have to multiply 180 by 3 because like I mentioned before, the measures of interior angles of a triangle sum to 180°. So, 180x3=540°.
Answer:
6 multiple choice questions and 22 open/extended response questions
Step-by-step explanation:
Let x be the number of multiple choice questions
Let y be the number of open response questions
Thus, we have a system of equations:
2x+4y=100
x+y=28
Solve bottom equation for desired variable, then plug in to top one:
x+y=28
x=28-y
2(28-y)+4y=100
56-2y+4y=100
56+2y=100
2y=44
y=22
Plug y back into bottom equation to get x:
x+22=28
x=6
So there are 6 multiple choice questions and 22 open/extended response questions.
The answer:
the vertex formula is V( -b/2a, f((-b/2a) )
so if The graph of y=ax^2+bx+c is a parabola that opens up and has a vertex at (0,5), then -b/2a = 0, implies b = 0, and when b =0 f((-b/2a = 0/2a=0))=f(0)
in our case, f(x)=<span>ax^2+bx+c, and it implies f(0) = c </span>≠ 5
so there is no value of a, b and c which verifies the equation of vertex, the set solution is {∅} (the empty set)