2q+18=-5q-3
2q+5q=-3-18
7q=-21
q=-3
Answer:
<em>96π units²</em>
Step-by-step explanation:
Find the diagram attached
Area of a sector is expressed as;
Area of a sector = θ/2π * πr²
Given
θ = 3π/4
r = 16
Substitute into the formula
area of the sector = (3π/4)/2π * π(16)²
area of the sector = 3π/8π * 256π
area of the sector = 3/8 * 256π
area of the sector = 3 * 32π
<em>area of the sector =96π units²</em>
Answer:
The modulus of the complex number 6-2i is:

Step-by-step explanation:
Given the number

We know that
where x and y are real and 
The modulus or absolute value of z is:

Therefore, the modulus of
will be:










Therefore, the modulus of the complex number 6-2i is:

Answer: y=2x+3
Step-by-step explanation:
Answer: 72 cars.
Step-by-step explanation:
Let be "x" the number of toys that Moby had to start with.
According to the information given in the exercise, Moby sold half his toy car collection. This can be represented with the following expression:

Then he bought 12 more cars, giving a total amount of 48 toy cars.
Therefore, the equation that represents this situation is the equation shown below:

Now you must solve for "x" in order to find its value.
You get that this is:
