Step-by-step explanation:
x = 2 is, as you can see, parallel to the y-axis.
perpendicular to this (= crosses the original line in an angle of 90 degrees) is then a line parallel to the x-axis.
that means y is constant. all points on that line will have the same y value.
and we know one point already : (3, -2)
so all points of the perpendicular line will have y = -2
and that is the equation of the perpendicular line :
y = -2
The measure of angle theta is 30 degrees.
This is a 30-60-90 triangle where the short leg is half that of the hypotenuse. The short leg is opposite the smallest angle 30 degrees.
You can use trig to find that
sin(angle) = opposite/hypotenuse
sin(theta) = 5/10
sin(theta) = 0.5
theta = arcsin(0.5)
theta = 30 degrees
Answer:
2
Step-by-step explanation:
add 5 to 13 then divide 9 by that number and that is what x equals
Volume = length x width x height
volume = 8 x 5 x 2
volume = 40 × 2
volume = 80
the smallest possible volume of a box that it will fit in is 80 "3
Answer:
2(3x+2y) and 6x+4y
Step-by-step explanation:
If we expand all of the solutions and the expression we are trying to match, we can see which expression has all matching terms.
The expression we are matching to can be expanded to:
2(2x+4y+x-2y)
4x+8y+2x-4y
6x+4y
Solution 1: NO
2(x+5y) and 2x+12y
2x+10y and 2x + 12y
Solution 2: NO
2(x+2y) and 2x+4y
2x+4y and 2x+4y
Solution 3: YES
2(3x+2y) and 6x+4y
6x+4y and 6x+4y
Solution 4: NO
2(3x+6y) and 6x+12y
6x+12y and 6x+12y
