Answer:
1296
Step-by-step explanation:
3 × 2 = 6
6 to the power -2 = 0.277777777777777777
0.277777777777777777 to the power -2 = 1296
When both expressions have the same value, then they are equal to each other.
<h3>What is an equivalent expression?</h3>
The equivalent is the expressions that are in different forms but are equal to the same value.
Consider the expressions 5 + 8k and 8k + 5.
Using k = 3
5 + 8k = 8k + 5
5 + 8(3) = 8(3) + 5
5 + 24 = 24 + 5
29 = 29
Using k = 5
5 + 8k = 8k + 5
5 + 8(5)= 8(5) + 5
5 + 40 = 40 + 5
45 = 45
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<u>Complete question:</u>
Consider the expressions 5 + 8k and 8k + 5. Determine why the expressions are equivalent.
Using k = 3 5 + 8k 8k + 5 5 + 8(3) 8(3) + 5 5 + 24 = 29 24 + 5 = 29
Using k = 5 5 + 8k 8k + 5 5 + 8(5) 8(5) + 5 5 + 40 = 45 40 + 5 = 45
Complete the statements.
If both expressions have the same value after substituting and simplifying two different values for the variable, then they are.
The value of both expressions when k = 3 is and when k = 5 is 45, so the expressions are.
Answer:
0
Step-by-step explanation:
The y values are both 0, therefore there is no slope.
Answer:
98°
Step-by-step explanation:
m∠1 = m∠2
5x + 12 = 7x - 16; substitute the given
2x = 28
x = 14
m∠2 + m∠3 = 180; supplementary angles
82 + m∠3 = 180
m∠3 = 180 - 82
m∠3 = 98 degrees