Answer:
(4, -2)
Step-by-step explanation:
The point-slope form of the equation for a line is ...
y -k = m(x -h)
for a line with slope m through point (h, k).
Comparing this to the equation you're given, you can see that the point that was used is (h, k) = (4, -2).
_____
You can find other points on the line, but this one is the easiest to find, since it can be read directly from the equation.
18 minutes
3/10=18/60
60 represents the hour
18 represents time spent warming up and cooling down.
Answer:
.
Step-by-step explanation:
Dilate a point 
by a scale factor of 
with 
as the center, and the resultant point would be at 
.
In this question:
Point to dilate: 
.
Scale factor: 
.
Center of dilation: 
.
The resultant point would be:
, which simplifies to .
<span> Binomials and trinomials are two types of polynomials. The first has two terms and the second has three.</span>
Answer:
3/5 or 0.6
Step-by-step explanation:
Here, given the value of tan theta , we want to find the value of sine theta
Mathematically;
tan theta = 0pposite/adjacent
Sine theta = opposite/hypotenuse
Firstly we need the length of the hypotenuse
This can be obtained using the Pythagoras’ theorem which states that the square of the hypotenuse equals sum of the squares of the two other sides.
Let’s call the hypotenuse h
h^2 = 3^2 + 4^2
h^2 = 9 + 16
h^2 = 25
h = √(25)
h = 5
Now from the tan theta, we know that the opposite is 3
Thus, the value of the sine theta = 3/5 or simply 0.6
