Answer:
14⁹
Step-by-step explanation:
When you're multiplying, you add the exponents. So, -3+12=9.
For this case we must find the quotient of the following expression:

We can rewrite the expression as:
(We take into account that
)

By definition of multiplication of powers of the same base, we place the same base and add the exponents:

By definition of division of powers of the same base, we place the same base and subtract the exponents:

Answer:

2(2,1)(14,10)
(4,2) - (14,10)= (-10, -8)
The coordinates of K are (-10, -8).
If you do the proportion, you have to put 1/5 = 20/100. The 20 represents the percentage. Then you have to say to yourself that how many time 5 goes to 100, well its x20 then if we multiply 1 x 20 we'll get 20. So, he is correct, 1/5 = 20%. Remember what number we think of when we hear the word percent, the number is 100.
Answer:
Δ PQT ~ Δ QRS .....{S-S-S test for similarity}...Proof is below.
Step-by-step explanation:
Given:
In Δ PQT
PQ = 30 ft
QT = 28 ft
TP = 20 ft
In Δ QRS
QR = 15 ft
RS = 14 ft
SQ = 10 ft
To Prove:
Δ PQT ~ Δ QRS
Proof:
First we consider the ratio of the sides
..............( 1 )
..............( 2 )
..............( 3 )
So By equation ( 1 ), ( 2 ) and ( 3 ) we get

Now in Δ PQT and Δ QRS we have

Which are corresponding sides of a similar triangle in proportion.
∴ Δ PQT ~ Δ QRS .....{S-S-S test for similarity}...Proved