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2 answers:
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Answer:
Option D. a 180° rotation about the origin and then a translation left 8 units.
Step-by-step explanation:
See the attached figure_1
From the graph: Point A'(-12,-6) is the image of point A(4,6)
We will check which sequence of transformations is true:
A. a reflection across the y-axis and then a translation down 16 units
A(4,6) ⇒(-4,6)⇒(-4,-10) <u> (Wrong sequence)</u>
B. a 90° counterclockwise rotation about the origin and then a translation down 8 units
A(4,6) ⇒(-6,4)⇒(-6,-4) <u>(Wrong sequence)</u>
C. a 90° clockwise rotation about the origin and then a translation left 16 units
A(4,6) ⇒(6,-4)⇒(-10,-4) <u>(Wrong sequence)</u>
D. a 180° rotation about the origin and then a translation left 8 units
A(4,6) ⇒(-4,-6)⇒(-12,-6)A' <u>(True sequence)</u>
<u></u>
Note: the rules is the attached figure_2
Answer:
The correct option is 4.
Step-by-step explanation:
It is given that the three-fourths of the employees at a bookstore came to a staff meeting. Less than 24 employees were at the meeting.
Let the total number employees be e.
Three fourth of the total employees is , the total number of employees at the meeting were less than 24.
Multiply 4 both sides.
Divide both sides by 3.
Therefore the value of e is less than 32.
In a number line as we approach towards left the the value of integers decreases.
Since the value of e is less than 32, therefore the solution graph is from negative infinity to 32.
Since 32 is not included in the solution set, therefore there is an open circle on 32.
Option 4 is correct.
Answer:
x = 2root(22)
see image.
Step-by-step explanation:
The triangle shown is one big triangle cut into two more smaller triangles: one medium-sized and one smaller.
ALL THREE TRIANGLES ARE SIMILAR BY AA.
Set the two smaller triangles up so you can see the corresponding sides. x is the short leg in one triangle and it is the long leg in the smallest triangle. Set up a proportion.
22/x = x/4
crossmultiply
x^2 = 22•4
x^2 = 88
square root both sides.
x = sqroot(88)
x = 2sqroot(22)
see image.
