Answer:
Step-by-step explanation:
Let 
, a reflection over the x-axis consists in the following operation:
If we know that 
and 
, then the points translated over the x-axis are 
and 
, respectively. The most precise description of the shape is a rectangle for the following facts:
1) 
and 
.
2) 
and 
have the same x-component.
3) 
and 
have the same x-component.
4) and have the same y-component.
5) and have the same y-component.
A representation of the shape is included below as attachment.
Answer:
Step-by-step explanation:
•y-intercept is the 200 pages she has to read to begin with
•x-intercept on day 16 means she has finished reading all the pages, there are
zero pages left
•there are 100 pages left after 8 days
• the line is straight (no change in slope) so the reading rate was consistent over the 16 days.
11 by 16
Explanation:
Set up two equations
2
x
+
2
y
=
54
x
×
y
=
176
Solving the first equation for x
2
x
+
2
y
−
2
y
=
54
−
2
y
this gives
2
x
=
54
−
2
y
Divide both sides by 2
(
2
x
2
)
=
54
−
2
y
2
This gives.
x
=
27
−
y
putting this value into the second equation gives.
(
27
−
y
)
×
y
=
176
multiplying across the parenthesis gives
27
y
−
y
2
=
176
subtracting 176 from both sides gives
is
27
y
−
y
2
−
176
=
0
multiplying by negative one gives
−
27
y
+
y
2
+
176
=
0
factoring this into y gives
(
y
−
11
)
×
(
y
−
16
)
=
0
Solving for both y's gives
y
=
11
,
y
=
16
Can you say exactly what your asking for.
Answer:
Longer than
Step-by-step explanation:
The lengths of sides A C and F E are congruent. The lengths of sides B C and D E are congruent. Therefore:
AC = FE, BC = DE
Also m∠C is greater than m∠E
∠C is the angle opposite to line AB and ∠E is the angle opposite to line DF. Since AC = FE, BC = DE and m∠C is greater than m∠E. The length of a side of a shape is proportional to its opposite angle, since the opposite angle of AB is greater than the opposite angle of DF therefore AB is greater than DF
