Hello there,
When you reflect a point over the x-axis the x-coordinate stays the same while the y-coordinate is its opposite.
In the given point (4,1) when it is reflected over the x-axis you would get (4, -1).
Hope I helped,
Amna
The equation of a circle centered at point (x1,y1) with a radius r is given by
are you sure you wrote down the problem correctly?
Answer:
Option D
Step-by-step explanation:
the height of the first rectangle ( 30 ) over the height of the other rectangle ( 3 ) is 30/3 and equals 10
the length of the first rectangle ( 60 ) over the length of the second rectangle ( 6 ) is 60/6 and equals 10
the ratio of the sides of both rectangles are equivalent therefore the are similar
First translate the English phrase "Four times the sum of a number and 15 is at least 120" into a mathematical inequality.
"Four times..." means we're multiplying something by 4.
"... the sum of a number and 15..." means we're adding an unknown and 15 and then multiplying the result by 4.
"... is at least 120" means when we substitute the unknown for a value, in order for that value to be in the solution set, it can only be less than or equal to 120.
So, the resulting inequality is 4(x + 15) ≤ 120.
Simplify the inequality.
4(x + 15) ≤ 120
4x + 60 ≤ 120 <-- Using the distributive property
4x ≤ 60 <-- Subtract both sides by 60
x ≤ 15 <-- Divide both sides by 4
Now that we have the inequality in a simplified form, we can easily see that in order to be in the solution set, the variable x can be no bigger than 15.
In interval notation it would look something like this:
[15, ∞)
In set builder notation it would look something like this:
{x | x ∈ R, x ≤ 15}
It is read as "the set of all x, such that x is a member of the real numbers and x is less than or equal to 15".
Answer: makes it a function if it is straight or if no points touch and if it has a constant rate of change
Step-by-step explanation:
