18
Step-by-step explanation:
regard to rule of product answer is 3*2*3=18
Answer:
k = -2
Step-by-step explanation:
Given equation
1-kx = -3y
point on this line = (4,-3)
If point lies on the given line, then if we plug in the value (4,-3), then it will satisfy the equation
1-kx = -3y
using x = 4 and y = -3
1-k*4 = -3*-3
1 - 4k = 9
=> -4k = 9 -1 = 8
=> k = 8/-4 = -2
Thus, value of k is -2
Answer:
3^12 = 531441
Step-by-step explanation:
For this problem, it's important to understand what is meant by the exponents. Notice, there are two sets of separators, a parentheses and a bracket. When you have powers to powers you multiply, hence 2 * 3 * 2 is 12. The given expression can also be broken down like this:
[ ( 3^2 ) ^ 3 ] ^ 2
= [ 3^2 * 3^2 * 3^2 ] ^ 2
= 3^2 * 3^2 * 3^2 * 3^2 * 3^2 * 3^2
And we can apply the rule, when you are multiply powers of like bases you add the exponents. Hence:
3 ^ (2 + 2 + 2 + 2 + 2 + 2)
= 3^12
Either way of power manipulation, you end with the same result of 3^12. Hope this helps.
Cheers.
Answer:
18 inches
Step-by-step explanation:
Applying,
Pythagoras theorem,
a²= b²+c²
Where a = hypotenus, b = base of the triangle, c = height.
make c the subject of the equation
c = √(a²-b²)................. Equation 2
From the diagram attached,
Given: a = 36 in, b = (36/2) in = 18 in
Substitute these values into equation 2
c = √(36²-18²)
c = √(1296-324)
c = √(972)
c = √(972)
c = √(324×3)
c = 18 inches
Answer:
1 cm
Step-by-step explanation:
Since the perimeter is 4 cm and all the sides of the square have the same length, each side must be 1 cm long.
The area of that square is 1 cm x 1 cm, which is 1 cm2.