Equation: y = 3/2x - 6 1/2, or y = 1.5 - 6.5
If this line is given to have a slope of 3/2, let us at least put it in standard form, substituting the point ( 7, 4 ) into the equation afterwards:
y = 3/2* x + b, provided b ⇒ y - intercept,
( 4 ) = 3/2 * ( 7 ) + b,
4 = 21/2 + b,
b = 4 - 10.5,
b = -6.5
Equation: y = 3/2x - 6 1/2, or y = 1.5 - 6.5
Answer:
x = 0, π/4, π, 7π/4
Step-by-step explanation:
sin(2x) = √2 sin x
Use double angle formula.
2 sin x cos x = √2 sin x
Move everything to one side.
2 sin x cos x − √2 sin x = 0
Factor.
sin x (2 cos x − √2) = 0
Solve.
sin x = 0, cos x = ½√2
x = 0, π/4, π, 7π/4
Answer:
The equation of line is 2x-3y=15.
Step-by-step explanation:
Given;
Slope is 2/3 and crosses y axis at (0,-5).
Now, the point = (0,-5) that is
and the slope of the line = 2/3 which is
.
So, now putting the formula for the equation of the line:



On solving equation we get :



Therefore, the equation of line is 2x-3y=15.
-1/2 (i need 20 letters so fkfjfjfkwodldlkenfnnndl)
Answer:
X =
, Y = 3 , Z = 10
Step-by-step explanation:
using Pythagoras' identity in all 3 right triangles
X² = 1² + 1² = 1 + 1 = 2 ( take square root of both sides )
X = 
middle triangle
Y² = 1² + X² = 1 + (
)² = 1 + 2 = 3
triangle on right
Z² = 1² + Y² = 1 + 3² = 1 + 9 = 10