Answer:
The slope of the line representing the linear function f(x) is determined as 
. The function f(x) is decreasing because the slope is less than zero, i.e., m<0.
Step-by-step explanation:
A linear function f(x) is given with two points, (2,3) and (0,4) lying on the line representing f(x).
It is asked to determine the slope of the line and state if the function is increasing or decreasing. of the value of the slope obtained.
Step 1 of 1
Determine the slope of the line.
The points as given in the question are (2,3) and (0,4). Now, the formula for the slope is given as
So, substitute 
for 
and 
respectively, and 
for 
and 
respectively in the above formula. Then simplify to get the slope as follows,
The slope of the line is obtained as . Now, as 
, so the function f(x) is decreasing.
Answer:
Parallel
Step-by-step explanation:
QR and ST both parallel to y axis.
Answer:
Outside the circle
Step-by-step explanation:
Let's first write the equation of this circle: 
, where (h, k) is the center and r is the radius. Here, the center is (-6, -2). We need to find the radius, which will just be the distance from N to E:
NE = 
The radius is √34, which means that r² = 34. So, our equation is:
(x + 6)² + (y + 2)² = 34
Plug in -10 for x and -7 for y:
(x + 6)² + (y + 2)² = 34
x² + 12x + 36 + y² + 4y + 4 = 34
x² + 12x + y² + 4y + 40 = 34
x² + 12x + y² + 4y + 6 = 0
(-10)² + 12 * (-10) + (-7)² + 4 * (-7) + 6 = 7
Since 7 > 0, we know that H lies outside the circle.
Answer:third graph (open circle on 518, colored to the right)
Step-by-step explanation:The record is 518 cm. That means that 518 cm has already been accomplished. Anything less than 518 cm is not a record. 518 cm is also not a record. Only distances greater than 518 cm are records
Answer:
8 interior angles
Step-by-step explanation:
- There is a simple trick to finding the number of interior angles
- For instance, a triangle has 3 sides, and how many angles are in a triangle? 3
- A square has 4 sides and 4 interior angles
- A pentagon has 5 sides and 5 interior angles
- So an octagon, the shape we have here, has 8 sides so 8 interior angles
