Answer:
y =
x + 
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = 
with (x₁, y₁ ) = (- 2, 1 ) and (x₂, y₂ ) = (6, 3 )
m =
=
=
=
, then
y =
x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (6, 3 ) , then
3 =
+ c ⇒ c = 3 -
= 
y =
x +
← equation of line
Answer:
1/2
Step-by-step explanation:
According to pythagoras theorem;
(sinx)²+(cosx)² = 1
Given that sinФ = √3/2
Substitute into the formula
(√3/2)²+(cosx)² = 1
3/4+(cosx)² = 1
(cosx)² = 1 - 3/4
(cosx)² = 1/4
cos x = √1/4
cos x = 1/2
Hence the value of cosФ is 1/2
9514 1404 393
Answer:
- 127.32 yards diameter
- 12,732.4 square yards area
Step-by-step explanation:
The diameter can be found from the circumference using the relation ...
C = πd
d = C/π = (400 yd)/π ≈ 127.32 yd . . . . diameter
The area is ...
A = πr²
where the radius (r) is half the diameter.
A = π(63.662 yd)² ≈ 12,732.4 yd² . . . . area
_____
<em>Additional comment</em>
We have used a full-precision value for pi. If you use 3.14, your answers will be different. Your diameter will be about 127.4 yards; your area about 12,738.9 yd².
To find this out, simply divide 186 by 21. Which is 8.9 (i rounded it)
But you can just multiply (to check) 21 by 8 to geet 168. Any further, you would get a number higher than 186.
~Hope this helped :)
Answer:
y=-1/2x-6
Step-by-step explanation:
Find the slope of the original line and use the slope-intercept form