I'll start 18 and 22 for you, and you should then be able to do the rest on your own!
For 18, what we literally do is apply the distance formula for all the points and add them up. For B to C, we get the distance between them to be
sqrt((x1-x2)^2+(y1-y2)^2)=sqrt((0-4)^2+(3-(-1))^2)=sqrt((-4)^2+4^2)=sqrt(16+16)=sqrt(32). Repeat the process for C to E, E and F, and F to B then add the results up to get your answer!
For 22, since the area of a rectangle is length*width (we know given the right angles and that the opposite sides are equal in how long they are), we can multiply 2 perpendicular lines, for example, BC and CE to get sqrt(32)*sqrt(8)=16 as the area
Answer:f(x) has three real roots
Step-by-step explanation:
3x + xy^2 + 5x - 2xy ok so once you can decode the sentence this is what it will look like. First you add the common facts which are 3x and 5x which = 8x ok so now we have 8x + xy^2 - 2xy so then I believe you cant do anything after that because there will be no more common factors hey can you tell me if I am write if you have already had turn this in please hope this helps
Answer:
- reflection across line m
- rotation about point A'
Step-by-step explanation:
The problem statement tells you exactly what the transformations are.
The first transformation is reflection across line m.
The second transformation is rotation about point A'.
_____
These are both rigid transformations, so ΔABC ≅ A'B''C''.
The diagonals of a rhombus bisect each other at right angles, therefore m∠BEC=90°
9z + 45 = 90
9z = 90 - 45
9z = 45
z = 45/9
z = 5
