Answer:
y = 3x + 1
Step-by-step explanation:
If two lines are parallel to each other, they have the same slope.
The first line is Y = 3X - 5. Its slope is 3. A line parallel to this one will also have a slope of 3.
Plug this value (3) into your standard point-slope equation of y = mx + b.
y = 3x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (0, 1). Plug in the x and y values into the x and y of the standard equation.
1 = 3(0) + b
To find b, multiply the slope and the input of x (0)
1 = 0 + b
Now, add 0 to both sides to isolate b.
1 = b
Plug this into your standard equation.
y = 3x + 1
This equation is parallel to your given equation (y = 3x - 5) and contains point (0, 1)
Hope this helps!
Answer:
x = 10
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin60° =
, then
sin60° =
=
=
( cross- multiply )
2x = 20
( divide both sides by 2 )
x = 10
Answer:
<h2>20</h2>
Step-by-step explanation:

Answer:
AB = 3
Step-by-step explanation:
AB = AD
AB² + 4² = (AB + 2)²
AB² + 16 = AB² + 4AB + 4
combine like terms:
4AB = 12
AB = 3
Answer:
36
Step-by-step explanation:
All angles in the triangle will equal to 180
Angle A = 180-98-46
A=36