Answer:
Step-by-step explanation:
Answer:
(-5, 1)
Explanation:
We are given a kite on the graph which is rotated 180° clockwise about the origin and then reflected over the Y axis followed by reflection over the X axis.
We are to find the coordinates of point A after the complete transformation.
A (-5, 1)
When a point is rotated 180° clockwise about the origin, the signs of its coordinates change.
A (-5, 1) ---> A' (5, -1) - after clockwise rotation of 180 degrees about origin
Then this point A' is reflected over the Y axis where the y coordinate remains the same but x coordinate changes its sign.
A' (5, -1) ---> A'' (-5, -1) - after reflection through y axis
Now this point A'' is reflected over the X axis where the x coordinate remains the same while y coordinates changes its sign.
A'' (-5, -1) ---> A''' (-5, 1) - after complete transformation
Srry I don’t know this but I’m sure You’ll find d answer
Answer:
Total number of tables of first type = 23.
Total number of tables of second type = 7
Step-by-step explanation:
It is given that there are 30 tables in total and there are two types of tables.
Let's call the two seat tables, the first type as x and the second type as y.
∴ x + y = 30 ......(1)
Also a total number of 81 people are seated. Therefore, 2x number of people would be seated on the the first type and 5y on the second type. Hence the equation becomes:
2x + 5y = 81 .....(2)
To solve (1) & (2) Multiply (1) by 2 and subtract, we get:
y = 7
Substituting y = 7 in (1), we get x = 23.
∴ The number of tables of first kind = 23
The number of tables of second kind = 7
Answer:
Step-by-step explanation:
The inverse is found by interchanging the x and y values and solve the result for y.
I will use y for f(x)
y = 4x^2
Inverse
x = 4y^2 Divide by 4
x/4 = 4y^2 /4
x/4 = y^2 Take the square root of both sides.
sqrt(x/4) = sqrt(y^2)
y = sqrt(x/4)
g(x) = sqrt(x/4) If you have a very fussy teacher, the inverse function could be written as
g(x) = +/- sqrt(x)/2
I expect that if the question is computer marked, I would try g(x) = sqrt(x)/2 first.
