Answer:
Error is in between the second and third step
the exponents must be subtracted
Step-by-step explanation:
Answer:
y =0
Step-by-step explanation:
From the equation;
8³ × 8⁻⁵×8^y = 8⁻²= 1/8²
From the laws of indices;
aⁿ×aⁿ = a^2n
Therefore;
8³ × 8⁻⁵×8^y = 8^(3+-5+y)
8^(-2+y) = 8^-2 ; but the bases are the same and thus the exponents are the same;
-2 + y = -2
y = 0
Step-by-step explanation:
2x-3y= -14
5x+9y= -2
multiply the first one by 5 and the second one by -2 to get equal and opposite value of x.
➡️when you multiply,it will be
10x-15y= -70
-10x-18y= 4
cancel out each x value,then you get
-15y-18y= -70+4
-33y= -66, divide each side by -33 to get the value of y
⚪️y= 2
➡️substitute the value of y in the equation of (2x-3y= -14) to find the value of x
2x-3(2)= -14
2x-6= -14
2x= -14+6
2x= -8 divide both side by 2
⚪️x= -4
so the answer is (-4,2)
Answer:
sin−1(StartFraction 8.9 Over 10.9 EndFraction) = x
Step-by-step explanation:
From the given triangle JKL;
Hypotenuse KJ = 10.9
Length LJ is the opposite = 8.9cm
The angle LKJ is the angle opposite to side KJ = x
Using the SOH CAH TOA Identity;
sin theta = opp/hyp
sin LKJ = LJ/KJ
Sinx = 8.9/10.9
x = arcsin(8.9/10.9)
sin−1(StartFraction 8.9 Over 10.9 EndFraction) = x
B.) Making Change
Hope this helps!!
