Answer:
a = 5
Step-by-step explanation:
Using Pythagoras' theorem in the right triangle
a² + 12² = 13²
a² + 144 = 169 ( subtract 144 from both sides )
a² = 25 ( take the square root of both sides )
a = = 5
Answer:
z = 42
Step-by-step explanation:
z - 12 = 30
Add 12 to each side
z - 12+12 = 30+12
z = 42
Check
42 - 12 = 30
30 = 30
Answer:
Option B
40x + 50y = 130
5x - 4y = 16
Option C
20x + 25y = 65
-20x + 16y = 64
Step-by-step explanation:
we have
4x+5y=13 ----> equation a
10x-8y=-32 ----> equation b
we know that
If two system of equations are equivalent, then their solution is the same
Part 1)
step 1
Multiply by 10 equation a both sides
10(4x+5y)=10(13)
40x+50y=130 ----> equation a'
step 2
Divide by 2 equation b both sides
(1/2)(10x-8y)=(1/2)(-32)
5x-4y=-16 ----> equation b'
so
The system of equations a and b and the system of equations a' and b' are equivalent
therefore
The system of equations a' and b' have the same solution as the given system
Part 2)
step 1
Multiply by 5 equation a both sides
5(4x+5y)=5(13)
20x+25y=65 ----> equation a'
step 2
Multiply by -2 equation b both sides
-2(10x-8y)=-2(-32)
-20x+16y=64 ----> equation b'
so
The system of equations a and b and the system of equations a' and b' are equivalent
therefore
The system of equations a' and b' have the same solution as the given system
Answer:
Step-by-step explanation:
Divide the tens column dividend by the divisor.
Multiply the divisor by the quotient in the tens place column.
Subtract the product from the divisor.
Bring down the dividend in the ones column and repeat.
okay so look at the image down below
Answer:the equivalent expression is (1/x)^3
Step-by-step explanation: