Nice use of brackets. We know exactly what you mean.
(10 - 7 + 2) / (-2 + 1) Notice that with an even number of - signs, you get a plus and with and odd number you get a minus.
(5) / (-1) = - 5 answer
Edit
Numerator
10 does not change.
+ - 7 Here a plus and a minus are put together. There is 1 minus sign which is an odd number of minus signs so the 7 is minus
- - 2 Here there are 2 minus signs. They become plus because 2 is even, and an even number of minuses become a plus so you have +2
10 - 7 + 2 = 5
Denominator
-2 does not change. It remains minus 2.
- - 1 There are 2 minus signs so this becomes plus 1.
- 2 + 1 = - 1
Numerator over denominator = 5/-1 = - 5. I'll probably run out of editing time. If you still don't understand, try and pinpoint the problem and we'll keep trying until you do see it. This question is worth it.
Answer:
Vertex: (13/6,-133/12)
Axis of symmetry: x=13/6
y-intercept: y=3
Step-by-step explanation:
Answer:
Part a) The radii are segments AC and AD and the tangents are the segments CE and DE
Part b) 
Step-by-step explanation:
Part a)
we know that
A <u>radius</u> is a line from any point on the circumference to the center of the circle
A <u>tangent</u> to a circle is a straight line which touches the circle at only one point. The tangent to a circle is perpendicular to the radius at the point of tangency.
In this problem
The radii are the segments AC and AD
The tangents are the segments CE and DE
Part b)
we know that
radius AC is perpendicular to the tangent CE
radius AD is perpendicular to the tangent DE
CE=DE
Triangle ACE is congruent with triangle ADE
Applying the Pythagoras Theorem

substitute the values and solve for CE





remember that
CE=DE
so

A quotient means division, so you can get rid of the third and fourth choices. It says "opposite" so that means negative.
The answer is the second choice:
Answer:
Step-by-step explanation:
Given: Kite WXYZ
Prove: That at least one of the diagonals of a kite decomposes the kite into 2 congruent triangles.
A diagonal is a straight line from one vertex to another of a given shape or figure.
Considering diagonal WY of the kite,
<WYZ ≅ <WYX (diagonal WY is the bisector of <Y)
<ZWY ≅ <XWY (diagonal YW is the bisector of <W)
WZ ≅ WX (congruent property)
YZ ≅ YX (congruent property)
Thus,
ΔWYZ ≅ ΔWYX (Angle-side-Angle congruent property)
Therefore, the given kite can be decompose into 2 congruent triangles (ΔWYZ and ΔWYX).