Answer:
y = - 
x + 3
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 = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (4, 0) ← 2points on the line
m = 
= -
Note the line crosses the y- axis at (0, 3 ) ⇒ c = 3
y = - x + 3 ← equation of line
4 sin^2 θ + 13cos^2 θ = 7
sin^2 θ = 1 - cos^ θ
4 - 4cos^2 θ + 13cos^2 θ = 7
9cos^2 θ = 3
cos^2 θ = 1/3
cos θ = # (1/3) # - square root
Square root of (1/3) has +1/3 and -1/3 as values of cos
Find the key angle by doing the cos inverse of #1/3
K.A = cos^-1 #(1/3) = 0.955
θ lies in all 4 quadrants
The values of θ are:
θ = 0.955, 2.186, 4.096, 7.23
Ignore 0.955, 2.186, 4.096, 7.23 as they are out of range pi/2 = 1.571
The the value of θ = 0.955 = 0.96 (to 2 d.p) radian
Hope it helped!
Step-by-step explanation:
8(7k+1)
no need to thank me
Answer:
Yes
Step-by-step explanation:
9 x 3 - (0.6/0.2) Simplify the parentheses
9 x 3 - 3 Multiply 9 by 3
27 - 3 Subtract
24
Answer:
4
Step-by-step explanation:
The lowest common denominator for 1/2 and 1/4 is also the lowest common multiple of 2 and 4. Since 4 is a multiple of 2, 4 itself is the lowest common multiple.
1/4 would remain, and 1/2 would be written as 2/4.
