Answer:
28.4 ft.
Step-by-step explanation:
cos 65 = 12 / L
L = 12 / cos 65
= 28.4 ft
Answer: See attached.
Step-by-step explanation:
For [a], we graph the parent function (y = x²), but shift it downwards 2 units.
For [b], we graph the parent function (y = x²), but shift it downwards 6 units, shift it to the right 2 units, and apply a compress factor of 3.
Answer
25 square
centimeters
Step-by-step explanation:
We want to find the area of the image of a rectangle with an area of 25 square
centimeters that has been rotated and reflected in
the coordinate plane.
Recall that, rotation and reflection are rigid transformations.
This means that, the preimage and the image rectangle are congruent.
Therefore the area of the image rectangle is still 25 square centimeters
We can rearrange 3x+y=9 to look more conventional by subtracting 3x from both sides and making it y= -3x+9.
Now we want to find a line that is parallel to this and goes through the point (0,-4). We know that -3 is the slope. With this in mind, if we want the other line to be parallel then it must have the same slope so that they never intersect. This gives us one of the numbers we need for the second line.
This means our second equation is looking like; y= -3x+b. This means we need to find b (the y-intercept) but we are also given a point it must go through and this is (0,-4). We simply plug this in into our new equation we need to solve and we get ; -4 = -3(0) + b . "since 0 is the x and -4 is the y" . From this we get that b= -4. This means the equation of a line parallel is:
y = -3x-4
(9 * 2) + 1 = 18 + 1 = 19/2 is it's fractional notation/mixed number.