Answer:
- reflection in x = 1
- translation up 2
Step-by-step explanation:
The orientation of B is the opposite of the orientation of A, so a reflection is involved. The smallest angle is at the bottom in both figures, and the largest angle is on the right in A and the left in B, so the reflection is left-right, rather than up-down.
The point midway between the largest angle vertices is on the vertical line x=1, so that line can be used for reflection. Reflecting A across that line will put its large-angle vertex at (3, 0), so a translation up 2 units is also needed.
The reflection on x=1 and translation up 2 can be done in either order.
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<em>Additional comment</em>
A combination of reflection and translation is called a "glide reflection." Our choice of x = 1 as the line of reflection takes care of any horizontal translation that would be required if a different vertical line were used. For example, reflection across the y-axis would require a subsequent translation up 2 and right 2.
Answer:
9, 40, and 42
Step-by-step explanation:
Step-by-step explanation:
first collect terms, while the < remains unchange
<u>P</u><u> </u><u> </u>< 1-2
9
cross examine and get the answer
<u>P</u><u> </u>< <u>-</u><u>1</u>
9 1
<em>P</em><em> </em><em>=</em><em> </em><em>-</em><em>9</em>
Answer: 5 people
Step-by-step explanation:
The easiest way to do this is to set up a proportion. 6/12=x/10. To solve, cross-multiply and divide. Multiply 6 and 10 (6*10=60) and divide by 12 (60/12=5).
You can also find that 6/12 is equal to 1/2 by dividing each side by 6. Then multiply 10 by 1/2 (or divide 10 by 2) to get the final answer of 5 people.
Hey there!!
Given equation :
11x² + 35x + 6
Now let's write 35x as 33x and 2x
Then the equation would become :
... 11x² + 33x + 2x + 6
... Now, let's take the common terms 11x² + 33x and 2x + 6
It would become :
... 11x ( x + 3 ) + 2 ( x + 3 )
... Now, we will write this as :
... ( 11x + 2 ) ( x + 3 )
Hence, this is as the answer...
Hope my answer helps!!
