Answer:
Step-by-step explanation:
<u>Equation of the line</u>
A line can be expressed in many forms.
The equation of the line in slope-intercept form is:
y=mx+b
Being m the slope and b the y-intercept.
The point-slope form of the equation of a line is:
y-k=m(x-h)
Where m is the slope and (h,k) is a point through which the line passes.
The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:
We are required to find a line with slope m=4 passing through the origin (0,0).
Using the point-slope form:
y-0=4(x-0)
Simplifying
Answer:
Step-by-step explanation:
Hello,
You can use Pythagoras in the 4 right triangles.
For one triangle it comes 
.
Then for the polygon it gives 
.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Answer:
The area is 7.5 square units
Answer:
32768
Step-by-step explanation:
8^6 isz 262144 times 8 = 32768
In any right triangle ABC, with right angle A we have the following:
and
.
This means that the sine of a non 90° angle, is equal to the cosine of its complementary angle.
Thus,
.
(Take a look at the picture. From the definition of trigonometric ratios in right triangles we have :
and
)
Answer: 19/20
