Answer: -2
Step-by-step explanation: Find the slope of between the two points. P is the bottom point and Q is the top point. Both x and y numbers increase, meaning that the slope is positive. The x numbers increase by 6, and the y numbers increase by 12. This means that the rise is 12, and the run is 6. The slope is 12/6 but can be simplified to 2/1. The perpendicular slope is -1/2 because the perpendicular slope of a line is opposite reciprocal. This means to make the number negative and to flip it.
By the angle difference formula for sines, we have:
By the angle sum formula for tangents, we have:
.
Rationalizing the denominator gives
as the final answer.
Answer:
Yes
Step-by-step explanation:
Since the sides are each congruent then ABCD and PQRS are the exact same shape and size. This means the area inside each figure will be the same amount. The areas are the same.
Answer:
A. y = 3x - 8
Step-by-step explanation:
y = 3x - 4
This equation is in the form
y= mx+b where the slope is m
The slope is 3
We are looking for an equation with slope 3
A. y = 3x - 8 yes
B. y = -3x - 3 no -3
C. y = -3x - 9 no -3
D. y = -3x - 15 no -3
Answer:
1. 4.5 (9/2)
2. 5.2 (square root of 27)
3. 5.8
4. 6.3 (2pi)
Step-by-step explanation:
The square root of 27 is 5.2, 2pi is 6.3, and 9/2 is 4.5. So the first one is 4.5. The second one is 5.2. The third one is 5.8 and the fourth one is 6.3. I hope this helps! Please mark me brainliest!
