Answer:
The correct options are;
1) "Greater/Less than or equal to" means the circle on the number will be SOLID
2)"Greater/Less than" means the circle on the number will be open
3) If It is "greater than", the line will be colored to the RIGHT of the number & if it is "less than", the line will be colored to the LEFT of the number line
Step-by-step explanation:
When a linear inequality is graphed on a number line, and the value of the inequality is "less than" or "greater than" the limit displayed on the number line, the limit of the inequality is indicated by an open
When the the limiting value of the inequality is specified as "less than or equal to" or "greater than or equal to" the value displayed on the number line as a SOLID circle.
The region where the inequality is valued on the number line is the colored region.
Answer:
the vertex is (1,2)
Step-by-step explanation:
the vertex is the point where the graph starts or opens from.
To find our solution, we first write the equation in the following form:

In this formula a represents the slope, therefore:

Because the line passes through the point P(5, -7), we can fill in the coordinates of this point in the formula and we get the following:


Now, add up 1 to both sides and we get

So the formula will be:

Bringing x to the other sides gives us:

Finally we multiply by 5 to get our standard form (and therefore our final answer):

Hence, the answer is D.
Answer:
41
Step-by-step explanation:
We know that complex numbers are a combination of real and imaginary numbers
Real part is x and imaginary part y is multiplied by i, square root of -1
Modulus of x+iy = 
Here instead of x and y are given 9 and 40
i.e. 9+40i
Hence to find modulus we square the coefficients add them and then find square root
|9+49i| =
By long division method we find that
|9+40i| =41
Answer:
Since ΔABC ~ ΔQRS, we know that:
=> AB/QR = BC/RS
=> 2/n = 6/15
=> n = (2 × 15)/6 = 5
*You can also use AB/QR = AC/ QS to calculate n