Answer:
Step-by-step explanation:
slope of line through (6,-1) and (11,2) = (-1 - 2)/(6 - 11) = 3/5
slope of line through (5,-7) and (8,-2) = (-7 - (-2))/(8 - 5) = -5/3
product of the slopes = -1, so the lines are perpendicular.
Answer:
r=3 cm
Step-by-step explanation:
In the attached file
Answer:
I believe the answer would be 4
Step-by-step explanation:
I'm going to use (a) to represent the side length in my explanation. side length is equivalent to the square root of the surface area over 6. The 6 is coming from there being 6 faces on a cube. So to solve this equation, you would first write it out. a=96/6. Next you would divide 96/6, giving you 16. and then lastly, you would find the square root of 16, which is 4. giving you a final answer of 4.
Hope this helps, and you understand it more!
Answer: (2, -3)
Step-by-step explanation:
To find the the answer, you will need to use the midpoint formula, which is as following:
(x₁+x₂/2, y₁+y₂/2)
Since we have two coordinates, let's substitute them into the equation.
(7 + (-3 )/ 2, (-4) + (-2)/2)
We should first add 7 and -3 together, as well as -4 and -2.
(4/2, -6/2)
We then divide 4 and -6 by 2. This would give us our midpoint coordinate.
(2, -3)
Answer:
2
Step-by-step explanation:
We have the equation

The exponent rules to be used are



Comparing the exponents we get

So, the value of
makes the equation true.