Just show how you dived the equation and found the X
<span>We are given that ||e|| = 1, ||f|| = 1. </span>
<span>Since ||e + f|| = sqrt(3/2), we have </span>
<span>3/2 = (e + f) dot (e + f) </span>
<span>= (e dot e) + 2(e dot f) + (f dot f) </span>
<span>= ||e||^2 + 2(e dot f) + ||f||^2 </span>
<span>= 1^2 + 2(e dot f) + 1^2 </span>
<span>= 2 + 2(e dot f). </span>
<span>So e dot f = -1/4. </span>
<span>Therefore, </span>
<span>||2e - 3f||^2 = (2e - 3f) dot (2e - 3f) </span>
<span>= 4(e dot e) - 12(e dot f) + 9(f dot f) </span>
<span>= 4||e||^2 - 12(e dot f) + 9||f||^2 </span>
<span>= 4(1)^2 - 12(-1/4) + 9(1)^2 </span>
<span>= 4 + 3 + 9 </span>
<span>= 16. </span>
Answer:
I am assuming you meant that the old machine made 248 toys in one hour instead of both if that is the case then the answer would be 744.
Steph-by-step explanation:
The new machine makes three times as many as the old machine so 248 times 3 = 744 toys in one hour
Check the picture below.
make sure your calculator is in Degree mode.
Answer:
3
Step-by-step explanation:
Circumference = 
, where r is radius, and d is diameter
d=113/3.14=35.987, which is approximately 36
At 12 yards per hour, it will take 36/12=3 hours
