Distribute 3 throught the parentheses
Move the variable to the left-hand side and change its sign
Move the constant to the right-hand side and change its sign
Collect like terms
Divide both sides of the equation by -3
Figure ABCD is reflected across the y-axis. What are the coordinates of A' , B' , C' , and D' ? Enter your answer in each box. A
' ( , ) B' ( , ) C' ( , ) D' ( , ) Coordinate plane. The horizontal axis ranges from negative 10 to 10 in increments of 1. The vertical axis ranges from negative 10 to 10 in increments of 1. Quadrilateral A B C D has vertices A at negative 1 comma 4, B at negative 5 comma 8, C at negative 5 comma 4, and D at negative four comma 2.
2 answers:
Solution:
Let me explain you the meaning of term reflection ,When a shape is reflected across a line or either through X axis or Y axis the two shapes that is image and preimage are congruent means neither the shape , nor size of image changes.
The vertices of Quadrilateral A,B,C,D are (-1,4), (-5,8),(-5,4) ,(-4,2).
When we reflect Quadrilateral A B C D which lies in second quadrant , across y- axis we get reflected image in first Quadrant.
The coordinates of A'(1,4), B(5,8), C(5,4) and D(4,2).
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Answer:
Step-by-step explanation:
Let's call y the number of patients treated each week
Let's call x the week number.
If the reduction in the number of patients each week is linear then the equation that models this situation will have the following form:
Where m is the slope of the equation and b is the intercept with the x-axis.
If we know two points on the line then we can find the values of m and b.
We know that During week 5 of flu season, the clinic saw 90 patients, then we have the point:
(5, 90)
We know that In week 10 of flu season, the clinic saw 60 patients, then we have the point:
(10, 60).
Then we can find m and b using the followings formulas:
and
In this case: and
Then:
And
Finally the function that shows the number of patients seen each week at the clinic is:
Answer:
1st option is correct i.e., 1 over 2
Step-by-step explanation:
Given that Triangle ABC transformed to Triangle A'B'C'.
Coordinated of Triangle ABC are A(2,6) , B(2,4) and C(4,4)
Coordinated of Triangle A'B'C' are A'(1,3), B'(1,2) and C'(2,2)
Scale factor of Dilation is the no. of times coordinates of vertices of a figure increase or decrease.i.e.,
if A(a,b) ⇒ A'(c,d)
where, a.k=c & b.k=d then k is scale factor of dilation.
Value of k is same for all vertices.
For coordinates of A & A' ,we have
For coordinates of B & B' ,we have
For coordinates of C & C' ,we have
Therefore, the scale factor of dilation is since in all cases
1st option is correct i.e., 1 over 2