The "dot product" of two vectors has several different formulas.
Since you are given the x- and y-coordinates of both vectors a and b, we can apply the formula
a dot b = ax*bx + ay*by, where ax=x-component of vector a, by=y comp of vector b, and so on.
So, for the problem at hand, ax * bx + ay * by becomes
3(-2) + (-8)(-6) = -6 + 48 = 42 (answer). Note that the dot product (or "scalar product" is itself a scalar.
We know that the area of a circle in terms of π will be πr². However the area with respect to the diameter will be a different story. The first step here is to find a function relating the area and diameter of any circle --- ( 1 )
For any circle the diameter is 2 times the radius,
d = 2r
Therefore r = d / 2, which gives us the following formula through substitution.
A = π(d / 2)² = πd² / 4
<u>Hence the area of a circle as the function of it's diameter is A = πd² / 4. You can also say f(d) = πd² / 4.</u>
Now we can substitute " d " as 4, solving for the area ( A ) or f(4) --- ( 2 )
f(4) = π(4)² / 4 = 16π / 4 = 4π - <u>This makes the area of circle present with a diameter of 4 inches, 4π.</u>
Slope intercept form is y = ax + b, where a is equal to the slope value, and b is equal to the y-intercept.
You have both the slope and y-intercept, which means that all you need to do is plug in the numbers to the equation in order to get your answer!
Let's plug in -7 for a, which gives you y = -7x + b.
Next, we'll plug in the y-intercept, which gives you y = -7x + 9.
Hope this helps!! :)
A producer is said to have an absolute advantage over another producer when he required less amount of input to produce the same good compared to the other producer.
While a producer is said to have a comparative advantage over another producer when he produces his goods at a lesser opportunity cost compared to the other produer.
Here, time is one of the inputs used in production and Maria produces a scarf at a lesser time compared to Sofia. Thus, Maria has an absolute advantage over Maria in the production of scarves.
Therefore, the true statement is "<span>Maria has an absolute advantage over Sofia".</span>
Any value you choose for x will make the equation a TRUE statement. This type of equation is called an identity, and the solution set is all real numbers.
