Answer:
The y-intercept is (0, 13).
Step-by-step explanation:
First finf the equation of the line:
The slope = (25- 5) / (3 - -2)
= 20/5
= 4
So its equation is
y - 5 = 4(x + 2)
y = 4x + 13
The y-intercept occurs when x = 0
so y-intercept = 4(0) + 13.
It's (0, 13).
Answer: there are three of the holidays
Step-by-step explanation:
The prime numbers through 31 include 2,3,5,7,11,13,17,19,23,29,31,and 37 so therefore three of the holidays (Martin Luther, Easter, and Thanksgiving) fall on days that are prime numbers
Answer:
The rule or formula for the transformation of reflection across the line l with equation y = -x will be:
P(x, y) ⇒ P'(-y, -x)
Step-by-step explanation:
Considering the point

If we reflect a point
across the line
with equation
, the coordinates of the point P flips their places and the sign of the coordinates reverses.
Thus, the rule or formula for the transformation of reflection across the line l with equation y = -x will be:
P(x, y) ⇒ P'(-y, -x)
For example, if we reflect a point, let suppose A(1, 3), across the line
with equation
, the coordinates of point A flips their places and the sign of the coordinates reverses.
Hence,
A(1, 3) ⇒ A'(-3, -1)
39/40 as a decimal is 0.975