Answer:
x ≈ 15.9
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² + 6² = 17²
x² + 36 = 289 ( subtract 36 from both sides )
x² = 253 ( take the square root of both sides )
x =
≈ 15.9 ( to the nearest tenth )
In the expression 4 to the power of 9, the number 9 is called the D. exponent.
Number four here is the base, and the exponent is always shown as a superscript to the right of the base. It shows how many times you are supposed to multiply the base by itself.
Answer:
The pair (0,3) is not a solution to the equation
Step-by-step explanation:
This can be proved by simply replacing the x and y variables in the equation by the x and y values of the pair, and checking if the equation renders a true statement:
By replacing x and y with their values in the pair (0,3), that is x=0 and y=3, in the equation y = 5 - 2x we get:
3 = 5 - 2 (0)
3 = 5 - 0
3 = 5
which is NOT a true statement.
On the other hand, the other two pairs (2,1) and (1,3) render true statements:
1 = 5 - 2 (2)
1 = 5 - 4
1 = 1
and
3 = 5 - 2 (1)
3 = 5 - 2
3 = 3
The reason you can only compare the numerators is because the denominators are the same- leaving little comparison to really make. The numerators will determine which fraction is greater or smaller.
Ex. 4/5 or 3/5
which is greater? Which is smaller?
It can be seen that the denominators are the same, now finally comparing the numerators will answer both questions.
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