Answer:
1/25
Step-by-step explanation:
substitute -2 where there are x
f(x) = 5^x
f(-2) = 5^(-2)
f(-2) = 1/(5^2)
f(-2) = 1/25
Answer:
Step-by-step explanation:
Given: MN ≅ MA
ME ≅ MR
Prove: ∠E ≅ ∠R
From the given diagram,
YN ≅ YA
EY ≅ RY
<EMA = <RMN (right angle property)
EA = EY + YA (addition property of a line)
NR = YN + RY (addition property of a line)
EA ≅ NR (congruent property)
ΔEMA ≅ ΔRMN (Side-Side-Side, SSS, congruence property)
<MNR ≅ MAE (angle property of congruent triangles)
Therefore,
<E ≅ <R (angle property of congruent triangles)
Answer:
<u><em> 4 • (2a + 3b) • (2a - 3b)</em></u>
Step-by-step explanation:
Step 1 :
Equation at the end of step 1 :
(16 • (a2)) - (22•32b2)
Step 2 :
Equation at the end of step 2 :
24a2 - (22•32b2)
Step 3 :
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
16a2 - 36b2 = 4 • (4a2 - 9b2)
Trying to factor as a Difference of Squares :
4.2 Factoring: 4a2 - 9b2
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 4 is the square of 2
Check : 9 is the square of 3
Check : a2 is the square of a1
Check : b2 is the square of b1
Factorization is : (2a + 3b) • (2a - 3b)
Final result :
4 • (2a + 3b) • (2a - 3b)
Answer:
Sin = Opp/Hyp
Step-by-step explanation:
