Answer:
Option A and Option B are not equivalent to the given expression.
Step-by-step explanation:
We are given the following expression:
Applying properties of exponents and base:
A. Using the exponential property 
, we can write:
which is not equal to the given expression.
B. Using the exponential property , we can write:
which is not equal to the given expression.
C. First we convert the radical form into exponent form. Then by using the property 
of exponent, we can write the following:
which is equal to the given expression.
D. First we convert the radical form into exponent form. Then by using the property of exponent, we can write the following:
which is equal to the given expression.
Option D and Option C are equivalent to the given expression.
Given:
Point A (-3.0,-5.4)
Point B (-3.0,5.4)
reflection across y-axis ⇒ (a,b) reflected (-a,b)
reflection across x-axis ⇒ (a,b) reflected (a,-b)
reflection across the origin ⇒ (a,b) reflected (-a,-b)
reflection on y = x ⇒ (a,b) reflected (b,a)
Point B is a reflection of Point A across the x-axis.
Answer:
6f = 24
f = 4
Step-by-step explanation:
Answer:
£495 million
Step-by-step explanation:
To find out the total cost of the land, we need to first calculate the area of the land.
Step 1: Find area of right angled triangle ADC
AD = 5 km,
DC = 12 km
Area of the right triangle = ½*a*b
a = 5km
b = 12km
Area = ½*5*12
= 5*6
Area of ADC = 30 km²
Step 2: Find the area of triangle ABC
First, let's find the length of AC using Pythagorean theorem
AC² = AD² + DC²
AC² = 5² + 12² = 25 + 144
AC = √169
AC = 13km
Area of ∆ABC = ½*AB*AC*sin(30°)
= ½*6*13*0.5
= 3*13*0.5
Area of ∆ABC = 19.5 km²
Total area of the land = area of ∆ADC + ∆ABC = 30 + 19.5 = 49.5 km²
Step 3: calculate how much the land costs
If the land costs £10 million per km²,
Cost of 49.5 km² = 49.5 × 10 = £495 million
