Answer:
subtracting 100 from both sides
Step-by-step explanation:
100-1/2x=92
<u>Angle A = 30 degrees</u>
1) Use the Pythagorean Theorem: 
--> 
--> 144 + 48 = 
--> 192 =
--> AC = 
2) Figuring out the type of triangle it is
There's a formula on the sides of a certain type of triangle:
--> Hypotenuse: a, Short Leg: a/2, Longer Leg: a/2 * 
That type of triangle perfectly matches the sides of our triangle: 12, 
,
Therefore, this triangle is a 30, 60, 90 triangle.
3) Finding the measure of angle A
--> Angle B is given: 90 degrees
--> The angle that's between Sides AB and AC is 30 degrees
Finally, we can conclude that Angle A is 30 degrees
Answer:
An equation with -8 as the slope.
Step-by-step explanation:
I can't see your choices but you need to look for an equation in which the slope is -8. A line with an opposite reciprocal slope is needed in order to be perpendicular to the line y = 1/8x + 3. The opposite reciprocal of 1/8 is -8.
A. Not a function since we have the points (-1,0) and (-1,3). The x value repeats while the y values are different. Plugging in x = -1 leads to multiple outputs, which shows we don't have a function. To get a better visual, you can plot the points. You'll see that the points form a vertical line. Therefore, this graph fails the vertical line test.
B. This is a function. All of the x values are different. The points, when graphed, pass the vertical line test. In other words, its impossible to draw a vertical line through any two points on the graph. Any x input here leads to exactly one y output.
C. This is not a function. Like choice A, we have repeated x values. In this case we have (4,6) and (4,7). The x value x = 4 repeats itself leading to multiple outputs y = 6 and y = 7
D. This is also not a function. The x value x = 0 repeats itself. The graph fails the vertical line test.
--------------------------------
Answer: Choice B
<span />
Answer:
Step-by-step explanation:
Given
--- Amplitude
--- Right phase shift
Required
Identify the function
A sinusoidal function is defined as:
Substitute values for A and C
By comparison, only option (D) has the above format where
Hence (D) is correct
