What is the product of 379 and 8

Answer:

A.380160 B. 240

Step-by-step explanation:

1 Square foot (sq ft) is equal to 144 square inches (sq in). To convert square feet to square inches, multiply the square foot value by 144.

Answer: answer below.

Step-by-step explanation:

To solve this system of linear inequalities, we can use a graphical method or algebraic method.

Let's start with the algebraic method.

First, let's rearrange the inequalities to solve for one variable in terms of the other.

From the first inequality, we have:

x ≤ 10 - 2y

From the second inequality, we have:

y ≤ 8 - 2x

From the third inequality, we have:

x ≤ (20 + 5y)/2

Now, let's plot the graphs of these inequalities on a coordinate plane.

Graphing the first inequality, x ≤ 10 - 2y, we start by drawing the line x = 10 - 2y. Since it is a "less than or equal to" inequality, we will draw a solid line.

Graphing the second inequality, y ≤ 8 - 2x, we start by drawing the line y = 8 - 2x. Again, since it is a "less than or equal to" inequality, we will draw a solid line.

Graphing the third inequality, x ≤ (20 + 5y)/2, we start by drawing the line x = (20 + 5y)/2. This time, since it is a "less than" inequality, we will draw a dashed line.

Now, we shade the region that satisfies all three inequalities. This region is the intersection of the shaded regions of the individual inequalities.

Finally, we can determine the solution by looking at the shaded region on the graph. The solution is the set of all points that lie within or on the boundary of the shaded region.

Alternatively, we can also solve the system of inequalities algebraically by finding the points where the lines intersect. We can then check if these points satisfy all three inequalities.

First, we are going to find the conjugate of our complex number. Remember that to find the conjugate of a complex number we just need to keep the real part and change the sing of the imaginary part.

We can infer from our problem that the real part of our complex number is 3 and its imaginary part is . We are going to keep the real part 3 and change the imaginary part from positive to negative, so our conjugate is .

Next, we are gong to multiply both the complex number and its conjugate using the distributive property:

Remember that , so:

We can conclude that the product of the multiplication of the complex number 3+3i and its conjugate, 3-3i, is 18.

Product of complex number and its conjugate will be 18 .

Complex number : x ± iy

Given , 3 + 3i

Conjugate pair of complex number = x ± iy

So, the complex conjugate pair are :

3 + 3i and 3 - 3i

Product of complex conjugate pair,

(3 + 3i) (3 - 3i)

Open the brackets,

= 9 - 9i + 9i - 9i²

Here, i = √-1 ; i² = -1

Substitute the value of iota(i),

= 9 -9i + 9i +9

= 18

Thus the product value is 18.

Know more about complex numbers,

brainly.com/question/20566728

#SPJ6