NEED HELP PLEASE NOT SURE
1 answer:
Answer:
1. Convert the x-coordinate from Mixed number to Decimal number.
2. Move over 2.5 units to the left.
3. From -2.5, move down 4 units.
4. Mark the point.
Step-by-step explanation:
By definition, a coordinate plane is formed by the intersection of two perpendicular lines: The y-axis (which is a vertical line) and the x-axis (which is an horizontal line). The point in which the y-axis and the x-axis intersect is known as "Origin" and has the following coordinates:
You have this point:
You can identify that the x-coordinate is:
Since it is a Mixed number you can convert it into a decimal number dividing the numerator 1 by the denominator 2 and adding the result to the Whole number part 2. Then:
And the y-coordinate is:
To plot the point:
- Start at the Origin.
- Move over 2.5 units to the left (because the x-coordinate is negative).
- Then, from -2.5 you must move down 4 units (because the y-coordinate is negative).
- Mark the point.
See the picture attached.
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Answer:
1. x = ±9
2.
3. 12 and -12.
4. Antoine is incorrect. There exists two solutions x=5 and x= -5.
Step-by-step explanation:
According to the questions,
Problem 1. i.e.
i.e. x = ±9.
Problem 2. i.e.
i.e.
i.e.
Problem 3. [tex]f(x)=x^{2}-144[tex]
To find the roots, we take, [tex]x^{2}-144=0[tex] i.e. [tex]x^{2}=144[tex] i.e. x = ±12.
Thus, the options are 12 and -12.
Problem 4. We have [tex]f(x)=x^{2}+25[tex]
For the roots, we take, [tex]x^{2}+25=0[tex] i.e. [tex]x^{2}=25[tex] i.e. x = ±5.
Thus, Antoine is not correct and two solutions namely x=5 and x= -5 exists.