Answer:
-40
Explanation:
Given
u = 2i - j; v= -5i + 4j and w = j
Required
4u(v-w)
4u = 4(2i) = 8i
v - w = -5i + 4j - j
v - w = -5i + 3j
Substitute
4u(v-w)
= 8i(-5i+3j)
= -40(i*i) [since i*i = 1]
= -40
Hence the required solution is -40
Answer:
Step-by-step explanation:
The fractional exponent m/n is often translated to radical form as ...
![x^{\frac{m}{n}}=\sqrt[n]{x^m}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D%3D%5Csqrt%5Bn%5D%7Bx%5Em%7D)
In this case, I find it easier to evaluate as ...
![x^{\frac{m}{n}}=(\sqrt[n]{x})^m=\boxed{(\sqrt{9})^3=3^3=27}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D%3D%28%5Csqrt%5Bn%5D%7Bx%7D%29%5Em%3D%5Cboxed%7B%28%5Csqrt%7B9%7D%29%5E3%3D3%5E3%3D27%7D)
<h2>
Area of rectangle is 10L-L²</h2>
Step-by-step explanation:
Let L be the length and W be the width.
Perimeter of rectangle = 2 ( L + W )
That is
2 ( L + W ) = 20
L + W = 10
W = 10 - L
We need to express the area of the rectangle as a function of the length of one of its sides.
Area = Length x Width
A = LW
A = L(10 - L) = 10L-L²
Area of rectangle is 10L-L²
Answer:
1/7
Step-by-step explanation:
There are seven people in all on person will arrive at a different time than others. Every single one of them arrives at different times so it's 1/7
X = unknown number
10x - 16 = 2x
Subtract 10x from both sides to isolate the variable on the right side of the equation.
-16 = -8x
Divide both sides by -8 to get x alone.
2 = x
