Answer:
1. x=6
2. y=2
Step-by-step explanation:
If x=5, the line is vertical, so we need a vertical line so that we are parallel. A vertical line is x= a constant
We can choose the value for x as long as it is not 5, that would make it the same line. I will choose x=6
If y=-3=5, the line is horizontal, so we need a horizontal line so that we are parallel. A horizontal line is y= constant
We can choose the value for y as long as it is not -3, that would make it the same line. I will choose y=2
In this case, you just multiply the expression under the root that gave the greatest integer (as you pull the square root of that number). See how I did: 4 multiplied by 31, which gives 124 then pull out the square root of 4, because 31 can not be, because it is a prime number and root would be an irrational number.
Answer:
Correct answer: adult tickets x = 72
Step-by-step explanation:
Given:
x = ? number of the adult tickets
y = ? number of the senior tickets
12$ adult ticket price
8$ senior ticket price
We will solve this problem using a system of two equations with two variables
x + y = 98 we will multiply whole equation with number - 2 and get:
- 2 x - 2 y = - 196
12 x + 8 y = 1072 we will divide the whole equation by the number 4 and get:
3 x + 2 y = 268
- 2 x - 2 y = - 196
we will now add the first equation to the second and get:
3 x - 2 x = 268 - 196
x = 72
x + y = 98 ⇒ 72 + y = 98 ⇒ y = 98 - 72 = 26
y = 26
God is with you!!!
The first reflection reverses the orientation and alters the direction of the vectors representing the sides of the quadrilateral. The second reflection does the same thing. The end result is that the orientation is unchanged by two reflections, and the direction of the sides of the quadrilateral is changed.
The appropriate choice is ...
... B. The resulting image will be a rotation of the pre-image.
_____
The center of rotation will be the point where the lines cross. (That is the invariant point.)
In the attachment, the green quadrilateral RESP is reflected across the line y=2x+7 (blue) to form the blue quadrilateral R'E'S'P'. That is then reflected across the line y = -12x +5 (orange) to give the orange quadrilateral R"E"S"P", which is a rotation of the pre-image.
The amount of rotation is double the angle between the lines, about 62.7°.