Answer: {-5, 5}. Product is -25, which is the minimum.
Explanation:
let a, b denote the two numbers. We know that b-a=10.
We are looking for a minimum over the product a*b.
![ab=a(a+10)= a^2+10a](https://tex.z-dn.net/?f=ab%3Da%28a%2B10%29%3D%20a%5E2%2B10a)
One can minimize this using derivatives. In case you have not yet had derivatives, you can also use the vertex of a parabola (since the above is a quadratic form):
![a^2+10a= (a+5)^2-25\implies x_{min}=-5](https://tex.z-dn.net/?f=a%5E2%2B10a%3D%20%28a%2B5%29%5E2-25%5Cimplies%20x_%7Bmin%7D%3D-5)
The minimum is at the vertex a=-5 and so b=5
Their distance is 10, and their product attains the minimum value of all possiblities -25.
Answer:
18
Step-by-step explanation:
Because that's where it starts so it cant go before that, I hope that makes sense
<h3>hope it helps </h3>
<h3><u>The value of p is 24.</u></h3>
3/4p = 18
Multiply both sides by 4.
3p = 72
Divide both sides by 3.
p = 24
The rotation that that translates AWXY to AW'X'Y' is a 45° anticlockwise rotation. See the attached image for details.
<h3>What is a rotation in math?</h3>
Rotation in math refers to the change in the angle of a geometric shape around a central axis on a point on the geometric plane such that it's original coordinates are modified but it's size or shape.
Hence, it is correct to state that The rotation that that translates AWXY to AW'X'Y' is a 45° anticlockwise rotation.
Learn more about translation at:
brainly.com/question/1574635
#SPJ1
Answer:
36 inches
Step-by-step explanation: