We have the following transformations:
y = f (x + c): moves the graph c units to the left.
y = 10 (x + 2) -10
y = 10x + 20-10
y = 10x + 10
y = f (x) - c: move the graph c units down.
g (x) = 10x + 10 - 12
g (x) = 10x - 2
Answer:
the function g (x) is given by:
g (x) = 10x - 2
Based on the statement below, if d is the midpoint of the segment AC, the length of the segment AB is 4.5cm.
<h3>What is the line segment about?</h3>
in the question given,
AC = 3cm,
Therefore, AD and DC will be = 1.5cm segments each.
We are given C as the midpoint of segment DB.
So CB = 1.5cm.
The representation of the line segment is:
A-----------D------------C-------------B
1.5 1.5 1.5
Since AD, DC and CB are each 1.5cm segments. Then the equation will be:
= 1.5 + 1.5 + 1.5
= 4.5
Therefore, The length of the segment AB is 4.5cm.
See full question below
If D is the midpoint of the segment AC and C is the midpoint of segment DB , what is the length of the segment AB , if AC = 3 cm.
Learn more about midpoint from
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Answer: x = 2
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Explanation:
Refer to the diagram below.
I've added points D,E,F,G. This helps with labeling the segments and angles, and identifying the proper triangles (to see which are congruent pairs).
Triangle GEA is congruent to triangle GFA. We can prove this using the AAS congruence theorem. We have AG = AG as the pair of congruent sides, and the congruent pairs of angles are marked in the diagram (specifically the blue pairs of angles and the gray right angle markers)
Since triangle GEA is congruent to triangle GFA, this means the corresponding pieces segment GF and GE are the same length.
The diagram shows GF = 3x-4, so this means GE = 3x-4 as well.
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Through similar steps, we can show that triangle GEC is congruent to triangle GDC. We also use AAS here as well.
The congruent triangles lead to GD = GE. So GD = 3x-4. The diagram shows that GD = 6x-10
Since GD is equal to both 3x-4 and 6x-10, this must mean the two expressions are equal.
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Now let's solve for x
6x-10 = 3x-4
6x-3x = -4+10
3x = 6
x = 6/3
x = 2
V=LWH
SA=2(LW+LH+WH)
V=240
first check that they are 240 volume
multiply numbers they should equal 240
the first one (A) can be eliminated since the dimentions are the same and therefor the surface areas are the same
2nd one check so far
3rd one (C) 6*4*15=360 which is wrong so eliminate this one
4th (d) 12*6*5=360 which is not 240 so eliminate
answer is B
The domain the given graph is :
- -12 <u><</u> x <u><</u> 13
