Answer:
D
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = ( -
,
) and r =
, thus
(x - (-
))² + (y -
)² = (
)², that is
(x +
)² + (y -
)² =
→ D
C because it’s the only one in between 60 and 260
Answer:
y= -6x +1
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx +c, where m is the gradient (or slope) and c is the y-intercept.
In order to find the equation of a line, you would need 2 things:
① Gradient (← can be found)
② Coordinate (✓ we have 2 coordinates here)
To find the gradient, use the gradient formula below:


Substitute the value of m into the equation:
y= -6x +c
To find the value of c, substitute a pair of coordinates.
When x=1, y= -5,
-5= -6(1) +c
c -6= -5
c= 6 -5
c= 1
Thus, the equation of the line is y= -6x +1.
Answer:
x=25
Step-by-step explanation:
DEF=180, Therefore GED+GEH+HEF=180
x+30+x+40+2x+10=180
Combine like terms:
4x+80=180
subtract 80 by both sides:
4x=100
divide by 4 on both sides
x=25