Step-by-step explanation:
Example: (5,2)
On a graph, the 5 goes on the x-axis and the 2 goes on the y-axis.
Also, in the world of variables, and the alphabet, x is before y.
So x represents the first number in an ordered pair.
hope it helps!
The highest power is 2.
Explanation:
Because x has a maximum power of 2, there will be 2 answers. if it were 3, there could be up to 3 answers, etc.
While solving this problem, you gather all terms on one side so the equation looks like
x
2
−
81
+
17
=
0
x
2
−
64
=
0
then factor
(
x
−
8
)
(
x
+
8
)
=
0
then, because any number times 0 equals 0, we know that one of the two parts in the parenthesis must be equal to 0, so
x
−
8
=
0
or
x
+
8
=
0
and so the two answers
x
=
8
,
−
8
come to be.
Answer:
The road width is x = 10 m.
Step-by-step explanation:
A formula for the area of the horizontal rectangle is A1 = (x)(20 m).
A formula for the small rectangle on top of that is A2 = (x)(18 - x).
The total area of the new roadway is 280 m^2.
Summing up A1 and A2 and equating the result to 280 m^2, we get:
20x + 18x - x^2 = 280
Rewriting this in the standard quadratic form:
-x^2 + 38x - 280 = 0
Here the coefficients are a = -1, b = 38 and c = -280.
The discriminant is thus b^2 - 4ac, or:
38^2 - 4(-1)(-280) = 1444 - 4(280) = 324, or 18^2.
Thus, the roots (x-values) are:
-38 ± 18
-------------- = 28 and 10
-2
Only the value x = 10 makes sense here, so we omit the other value (28).
The road width is x = 10 m.
x = ----------------------
Move over the # of decimal places as the negative exponent. 0.0907 is the correct answer!
Hope this helps, and please mark brainliest!
