Answers:
f(-3) = -1
f(-1) = 2
f(3) = 5
======================================
Explanations:
Draw a vertical line through -3 on the x axis. Make sure this vertical line crosses the orange graph. Mark this point of intersection and then draw a horizontal line from this point to the y axis. You should find that it touches -1 on the y axis. Check out the attached image to see this process in action.
Those steps basically say that x = -3 leads to y = -1. Since y = f(x), this means f(-3) = -1
Through similar steps, you should find that f(-1) = 2 and f(3) = 5
Note that the open hole/circle does not count. So if you land on an open hole, just keep going until you hit a closed circle on the other piece of the graph.
Answer:
The correct answer is option a
Sin A = 2√13/13
Cos A = 3√13/13
Tan A = 2/3
Step-by-step explanation:
From the figure we can see that,a right angled triangle.
ΔABC
<u>To find side AB
</u>
AB = √(AC)² + (BC)² =√(36² - 24² )= √1872
AC = 12√13
<u> To find the trigonometric ratio
</u>
Sin A = BC/AB = 24/12√13 = 2√13/13
Cos A = AC/AB = 36/ 12√13 = 3√13/13
Tan A = BC/AC = 24/36 = 2/3
The information about the points being vertices that make up a line to represent the side of a hexagon is irrelevant, as we are only looking for the distance of a line based on their x and y coordinates.
Look at the point's x and y coordinates:
First point:
x = -5, y = 6
Second point:
x = 5, y = 6
You'll notice that the y-coordinate for both points is the same (6 = 6). This means that the segment created by the points will be horizontal, since there is only movement on the x-axis if you trace the segment from point to point.
To find the distance between the two points, we'll only need to subtract the first point's x-coordinate from the second:
5 - (-5) = 5 + 5 = 10
The answer will be the following statement:
Since the y-coordinates are the same, the segment is horizontal, and the distance between the points is 10 units.
Answer:
a) 720
b) 60$
Step-by-step explanation:
a) each person is served 3 pancakes and there are 240 people, 240 x 3 = 720.
b) Each bag of mix costs 10$ and can make 120 pancakes, but we need 720 pancakes, which means six bags of mix (since 120x6 = 720). Since each cost 10$, 10 x 6 = 60$
Answer:
a rotation of 180° about point (0.5, -0.5) followed by a dilation of 0.5
Step-by-step explanation:
