Answer:
<em>c=6, d=2</em>
Step-by-step explanation:
<em>Equations
</em>
We must find the values of c and d that make the below equation be true
![\sqrt[3]{162x^cy^5}=3x^2y \sqrt[3]{6y^d}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B162x%5Ecy%5E5%7D%3D3x%5E2y%20%5Csqrt%5B3%5D%7B6y%5Ed%7D)
Let's cube both sides of the equation:
![\left (\sqrt[3]{162x^cy^5}\right )^3=\left (3x^2y \sqrt[3]{6y^d}\right)^3](https://tex.z-dn.net/?f=%5Cleft%20%28%5Csqrt%5B3%5D%7B162x%5Ecy%5E5%7D%5Cright%20%29%5E3%3D%5Cleft%20%283x%5E2y%20%5Csqrt%5B3%5D%7B6y%5Ed%7D%5Cright%29%5E3)
The left side just simplifies the cubic root with the cube:
![162x^cy^5=\left (3x^2y \sqrt[3]{6y^d}\right)^3](https://tex.z-dn.net/?f=162x%5Ecy%5E5%3D%5Cleft%20%283x%5E2y%20%5Csqrt%5B3%5D%7B6y%5Ed%7D%5Cright%29%5E3)
On the right side, we'll simplify the cubic root where possible and power what's outside of the root:

Simplifying

Equating the powers of x and y separately we find
c=6
5=3+d
d=2
The values are

Hello! I can help you with this! So, you and 3 friends are 4 people. You split $536. To find the amount each of you got, Do division. 536/4 is 134. Each friend got $134 in the first month. You made 224 in 2 months. Let’s subtract to see how much more each of them got. 224 - 134 is 90. Now, multiply by 4 to find out how much profit was made. 90 * 4 is 360. The shop made $360 in the second month.
Answer:
Step-by-step explanation:
Give the expression ax – c = bx + d, we are isolate x i.e we are to make x the subject of the formula.
ax – c = bx + d
Step 1: subtract bx from both sides
ax – c = bx + d
ax-bx = d+c
Step 2: Factor out x in the left hand side of the resulting expression
x(a-b) = d+c
Step 3: Divide both sides by the coefficient of i.e (a-b)


Hence Victoria can justify the step 3 of her work by dividing both sides of the expression in 2 by a-b
Answer:
correct option is C. 3.7 km
Step-by-step explanation:
given data
A to Port B = 4.7 km
lighthouse = N73°E
lighthouse = N31°E
solution
we get here first
B and
here
A = 90 - 73 = 17°
B = 73 - 31 = 42°
and
sum of all angle 180° so
A +
17° + 42° +
C = 180°
solve it we get
C = 121°
Now we use here sin law that is
........................2
put here value and we get
solve it we get
b = 3,7 km
so correct option is C. 3.7 km