16 points PLZ HELP which equation represents the function graphed on the coordinate plane
2 answers:
Answer:
The correct option is C) .
Step-by-step explanation:
Consider the provided graph:
The Parent Function for the provided graph is .
The graph of is shifted 3 unit up and 1 unit right to the origin.
For a function the function
shift <em>k</em> units up.
For the function the function
shift <em>h</em> units right.
As we know the graph has been shifted shifted 3 unit up and 1 unit right to the origin.
Therefore, the required equation is:
Hence, the correct option is C) .
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Answer:
1)
Given the triangle RST with Coordinates R(2,1), S(2, -2) and T(-1 , -2).
A dilation is a transformation which produces an image that is the same shape as original one, but is different size.
Since, the scale factor is greater than 1, the image is enlargement or a stretch.
Now, draw the dilation image of the triangle RST with center (2,-2) and scale factor
Since, the center of dilation at S(2,-2) is not at the origin, so the point S and its image are same.
Now, the distances from the center of the dilation at point S to the other points R and T.
The dilation image will be of each of these distances,
, so
=5 ;
, so
Now, draw the image of RST i.e R'S'T'
Since, [By using hypotenuse of right angle triangle] and
.
2)
(a)
Disagree with the given statement.
Side Angle Side postulate (SAS) states that:
If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle then these two triangles are congruent.
Given: B is the midpoint of i.e
In the triangle ABD and triangle CBD, we have
(SIDE) [Given]
(SIDE) [Reflexive post]
Since, there is no included angle in these triangles.
∴ is not congruent to
.
Therefore, these triangles does not follow the SAS congruence postulates.
(b)
SSS(SIDE-SIDE-SIDE) states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.
Since it is also given that .
therefore, in the triangle ABD and triangle CBD, we have
(SIDE) [Given]
(SIDE) [Given]
(SIDE) [Reflexive post]
therefore by, SSS postulates .
3)
Given that: are vertical angles, as they are formed by intersecting lines.
Therefore
, by the definition of linear pairs
and
and
and
are linear pair.
By linear pair theorem, and
are supplementary,
and
are supplementary.
Equate the above expressions:
Subtract the angle 2 from both sides in the above expressions
∴
By Congruent Supplement theorem: If two angles are supplements of the same angle, then the two angles are congruent.
therefore, .
Answer:
The amount that we should deposit in each bank is around $942.
Step-by-step explanation:
Case 1:
A=$1000
n = 12
t = 2
r = 3% or 0.03
p = ?
The compound interest formula is :
Substituting values in the formula;
=>
=>
p = $941.84
Case 2:
A=$1000
n = 365
t = 2
r = 3% or 0.03
p = ?
=>
=>
p = $941.76
The amount that we should deposit in each bank is around $942.