Simplify the expression. 11c + 3(-5c + 4d)
Answers
11c -15c + 12d
-4c + 12d
I hope you understand.
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another triangle, follow these steps:
Reflect ADEF across the y-axis to form AD'E'F'.
Translate AD'E'F' 8 units up to form AD"E"F".
Is ADEF the same size and shape as AD"E"F"? Show your
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x
work.
Answers
Answer:
To determine if triangles ADEF and AD"E"F" are the same size and shape, we need to compare their corresponding sides and angles. Let's go through the steps and analyze each transformation.
1. Reflecting ADEF across the y-axis:
When we reflect a point across the y-axis, the x-coordinate changes sign while the y-coordinate remains the same. Applying this reflection to each vertex of triangle ADEF, we get D'(-4, 0), E'(0, 0), and F'(0, -8).
2. Translating AD'E'F' 8 units up:
To translate a point, we add or subtract a constant value to its coordinates. Shifting each vertex of triangle AD'E'F' 8 units up gives us D"( -4, 8), E"(0, 8), and F"(0, 0).
Now let's compare the corresponding sides and angles of triangles ADEF and AD"E"F".
Corresponding Sides:
Side DE in triangle ADEF corresponds to side D'E' in triangle AD'E'F'. Since both sides lie on the x-axis, they have the same length.
Side EF in triangle ADEF corresponds to side E'F' in triangle AD'E'F'. Again, both sides lie on the y-axis, so they have the same length.
Side FD in triangle ADEF corresponds to side F'D' in triangle AD'E'F'. These sides are vertical lines with equal lengths.
Corresponding Angles:
Angle D in triangle ADEF corresponds to angle D' in triangle AD'E'F'. Both angles are right angles (90 degrees).
Angle E in triangle ADEF corresponds to angle E' in triangle AD'E'F'. These angles are also right angles (90 degrees).
Angle F in triangle ADEF corresponds to angle F' in triangle AD'E'F'. Once again, these angles are right angles (90 degrees).
From the above analysis, we can conclude that triangles ADEF and AD"E"F" are indeed the same size and shape. They have corresponding sides of equal length and corresponding angles of equal measure.
In conclusion, triangles ADEF and AD"E"F" are congruent.
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A.x < 3
B.x > –3
C.x < –3
D.x > 3
Answers
3x-11<-2
==>3x<-2+11
==>3x<9
==>x<9/3
==>x<3
Answer A
Answers
y - y1 = m(x - x1)
Substituting,
y - 0 = (-1/3)(x - 0)
The final equation would be,
x + 3y = 0
then second line has a slope of -1/3
Please tell me
Answers
there are in one day. After that, it's a piece-o-cake.
1 day = 24 hours .
Now you can make a table:
1 day = 24 hours
2 days = 48 hours
3 days = 72 hours
4 days = 96 hours
5 days = 120 hours
6 days = 144 hours
7 days = 168 hours
8 days = 192 hours
9 days = 216 hours
10 days = 240 hours
8 days equal 192 hours (multiply 8 days by 24).
Or another way to think about it:
1 day 8 days
------------ = ----------
24 hours x hours
Cross multiplying,
x = 8*24
x = 192
B. 1+2√x3
C. 3x3−x2+12
D. x4−16
Answers
The cubic binomial expression with a positive leading coefficient is 1+2x^3
How to determine the cubic binomial expression?
A cubic binomial expression has the following properties:
- It has 2 terms
- One of its variable term has a power of 3
This means that a cubic binomial expression is represented as:
ax^3 + b or b + ax^3
From the question, we understand that it has a positive leading coefficient.
This means that:
a > 0
From the list of options, we have:
1+2x^3
Hence, the cubic binomial expression with a positive leading coefficient is 1+2x^3
Read more about binomial expressions at:
#SPJ2
C. 3x^3-x^2+12
Answers
Answer:
The answer is A = 4 and B = 3 or C on edge
Step-by-step explanation: