Answer:
Reflexive property
Step-by-step explanation:
The property means that a real number is always equal to itself. For example, x=x. It works for all real numbers and is pretty simple. 3=3, 7.5=7.5 and etc
Step-by-step explanation:
Center: (−7,4)(-7,4)
Radius: 7
Answer:
24/25
Step-by-step explanation:
Step 1: Define systems of equation
10x - 16y = 12
5x - 3y = 4
Step 2: Rewrite one of the equations
5x = 4 + 3y
x = 4/5 + 3y/5
Step 3: Solve for <em>y</em> using Substitution
- Substitute 2nd rewritten equation into 1: 10(4/5 + 3y/5) - 16y = 12
- Distribute the 10 to both terms: 40/5 + 30y/5 - 16y = 12
- Simplify the fractions down: 8 + 6y - 16y = 12
- Combine like terms (y): 8 - 10y = 12
- Subtract 8 on both sides: -10y = 4
- Divide both sides by -10: y = 4/-10
- Simply the fraction down: y = -2/5
Step 4: Substitute <em>y</em> back into an original equation to solve for <em>x</em>
- Substitute: 5x - 3(-2/5) = 4
- Multiply: 5x + 6/5 = 4
- Subtract 6/5 on both sides: 5x = 14/5
- Divide both sides by 5: x = 14/25
Step 5: Check to see if solution set (14/25, -2/5) is a solution.
- Substitute into an original equation: 10(14/25) - 16(-2/5) = 12
- Multiply each term: 28/5 + 32/5 = 12
- Add: 12 = 12
Here, we see that x = 14/25, y = -2/5 and solution (14/25, -2/5) indeed works.
Step 6: Find <em>x</em> <em>- y</em>
x = 14/25
y = -2/5
- Substitute: 14/25 - (-2/5)
- Simplify (change signs): 14/25 + 2/5
- Add: 24/25
Hope this helped! :)
Answer:
L=6 cm l=3
Step-by-step explanation:
x+y=45
L=2l
Big Square Area
L*L=x
Little Square
l*l=y
Substituting
(L*L)+(l*l)=45
(2l*2l)+(l*l)=45
(4l^2)+(l^2)=45
5l^2=45
l^2=45/5
l^2=9
l=sqrt(9)
l=3
L=2(3)
L=6
Answer:
1 / 4 = 0. 25
Step-by-step explanation:
8x^{-2/3}
= 1 / 4
= 0. 25
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