Answer:
Parallel: y=-4x-1
Perpendicular: y=-4x+13/2
Step-by-step explanation:
For the equation y=-4x-41, the slope is -4. Writing a line related to this equation has two options:
- If the line will be parallel to it then this is the slope of the new line as well. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.
(y-7)=-4(x--2)
y-7=-4x-8
y=-4x-1
- If the line will be perpendicular to it then the slope is the negative reciprocal of the previous slope. It is 1/4.
(y-7)=1/4(x--2)
y-7=1/4x-1/2
y=-4x+13/2
Answer:
3x - 6
Step-by-step explanation:
Answer:
arc ≈ 5.5 units
Step-by-step explanation:
The arc of the circle is calculated as
arc = circumference of circle × fraction of circle
= 2πr ×
( r is the radius )
= 2π × 3.5 × 
= 
≈ 5.5 ( to the nearest tenth )
Answer:
x ≈ 66.73
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan27° =
=
=
( multiply both sides by x )
x × tan27° = 34 ( divide both sides by tan27° )
x =
≈ 66.73 ( to 2 dec. places )