Step-by-step explanation:
(a×b^-3×c^-3)⁵ / (a^-3×b⁴×c⁴)^-5
let's look at the numerator (the top) first :
a⁵×b^-15×c^-15
and now the denominator (the bottom) :
a¹⁵×b^-20×c^-20
both divided are (due to the commutative rules of multiplication we can split this first into the parts of the individual variables, and then multiply them all with each other) :
a⁵/a¹⁵ = 1/a¹⁰
b^-15 / b^-20 = b^(-15 ‐ -20) = b⁵
c^-15 / c^-20 = c⁵
so we get as result :
b⁵c⁵/a¹⁰
Answer:
the area of the hexagon is approx. 187.1 in²
Step-by-step explanation:
Picture this regular polygon as being a hexagon made up of six equilateral triangles of side 12 in. We find the area of one such triangle and then multiply that by 6 to obtain the total area of the hexagon.
One such equilateral triangle has three sides all of length 12 in, and all the interior angles are 60°. The height of one such triangle is
h = (12 in)sin 60°, or
√3
h = (12 in) -------- = 6√3 in
2
So, with base 12 in and height 6√3 in, the area of one such equilateral triangle is
A = (1/2)(12 in)(6√3 in) = 36√3 in²
and the total area of the hexagon is 6(36)√3 in², or approx. 187.1 in²
Answer:
Aa 1
Step-by-step explanation:
Answer:
y= -x+7, b= sqrt(2P/a), c=3P^2-b
Step-by-step explanation:
First, make a table regarding both of the equations. You will eventually find out that both lines intersect at the point (2, 5) after you find the points on the table. From there, subtract x from both sides in the equation x + y = 2. You will get y = -x + 2. Since they said the line was parallel, find a line that has the slope of negative one. Since we know that this line intersects the point in which the first two lines intersect, we know that the y-intercept will be 7. The equation of the line would be y=-x+7.
Multiply both sides by 2. Then, divide both sides by a to get b^2=(2P/a). Take the square root to get the value of b, which is sqrt(2P/a).
Square both sides of the equation to get P^2=(b+c)/3. Cross multiply to get 3P^2=b+c. Subtract b from both sides to get c=3P^2-b.
Answer: m = 4
Step-by-step explanation: This is a linear equation.
Linear equations can be written in the form y = mx + b where
the multiplier, m, represents the slope of the line and the <em>b</em>
or the constant term represents the y-intercept of the line.
So the slope of this line is simply the multiplier
which is the coefficient of the x term which is 4.
The variable that's used to represent slope is <em>m</em>.
So we say that m = 4.
