Answer:
b=-4a-52 or -b=4a+52
Step-by-step explanation:
because you can subtract 4a to the other side or you can subtract 52 to the other side then subtract b to get the second equation.
hope this helps :)
Step-by-step explanation:
1) to calculate the measurement of Unlabeled angle:
180-90-27=<u>63</u>°;
2) to calculate the measurement of y:
180-51-63=<u>66</u>°
Answer:
60.6°
Step-by-step explanation:
Tan ACB = opp/adj
= 10.3/5.8
ACB = 60.61584287 = 60.6
Answer:
<h3>36 and 12</h3>
Step-by-step explanation:
Let the two positive integers be x and y.
If their product is 432, then
xy = 432 ......... 1
Also if the sum of the first plus three times the second is a minimum, then;
p(x) = x + 3y
From 1;
y = 432/x ..... 3
Substitute 3 into 2;
p(x) = x+3y
p(x)= x + 3(432/x)
p(x) = x + 1296/x
Since the expression is at minimum when dp(x)/dx = 0
dp/dx = 1 + (-1296)/x²
dp/dx = 1 -1296/x²
0 = 1 -1296/x²
0 = (x²-1296)/x²
cross multiply
0 = x²-1296
x² = 1296
x = √1296
x = 36
Since xy = 432
36y = 432
y = 432/36
y = 12
Hence the two positive numbers are 36 and 12
