Answer:
Step-by-step explanation:
Consider the line y=4/3x + 3
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Find the equation of the line that is perpendicular to this line and passes through the point (-9, -5)
Find the equation of the line that is parallel to this line and passes through the point (-9, -5).
The rectangular room is 10.25 inches by 8 inches. If 1 inch represents 2 feet of the actual room. What is the scale factor and actual area of the room?
10.25 x 2 = 20.5 ft
and
8 x 2 = 16 ft
1in/ 2 ft or 1 in/ 24 inches
First flip the second fraction
4/7 divided by 9/6
Next multiply 4 x 9 which is 36
Then multiply 7 x 6 which is 42
Then divide the fraction 36/42
Which since it's not even it would be in decimal form it would be 0.9
The answer : 4 sin c sin b sin a
Step by step
Formula = A+b+c = 180
B+c = 180-A
C+A= 180-B
A+B= 180-c
2 sin c • 2 cos a-b+c/ 2 cos a-b-c / 2
4 sin c cos 180-2b/2 cos a-(180-a)/ 2
4 sin c cos (90-b ) cos ( A-90)
4 sin c sin b sin A
The slope of the line may be calculated by using the formula:
m = (y2 - y1)/(x2 - x1), where m is the slope, and (x1, y1) and (x2, y2) are two points on the line.
Using the points (0, -1) and (2, 4) shown, we can substitute these values into the formula above to get:
m = (y2 - y1)/(x2 - x1)
m = (4 - (-1))/(2 - 0)
m = 5/2
Therefor, the slope is 5/2.
Another way to think about the slope is in terms of rise/run, that is for a given interval that the x-value 'runs', by how much does the y value 'rise'?
Here, if we take the same two points (0, -1) and (2, 4), we can see that the x-value has moved 2 units, and the y-value has increased by 5 units. Thus:
if slope = rise/run, then the slope would be 5/2
Note that you should be careful when using this method if the y-value decreases as x increases; in this scenario, the 'rise' would be a negative value rather than a positive one
