Answer:
y = -4/5x - 4
Step-by-step explanation:
y - y1 = m(x-x1)
4x + 5y = 20 ( subtract 4x on both sides)
5y = -4x + 20 (divide by 5 on each side)
y = -4/5x + 4
So we know one point is (0,4) y-intercept
now plug in (0,4)
y - 4 = -4/5(x-0) (Distribute -4/5 to x - 0)
y - 4 = -4/5x (now add 4 on each side)
y = -4/5x - 4
Answer:
36 centimeters
Step-by-step explanation:
always start with the bigger number first then divide 72 ÷ 2 = 36 then divide 72 ÷ 36 = 2 then the actual building will be 36
9514 1404 393
Answer:
(a) 31.5 in²
Step-by-step explanation:
The area of a rhombus is half the product of the lengths of the diagonals.
A = 1/2(d1)(d2)
A = (1/2)(7 in)(9 in) = 31.5 in²
There are 31.5 in² of space in the rhombus for engraving.
Cos(A-B) = cosAcosB + sinAsinB
<span>
cos(</span>π/2 - θ) = cos(π/2)cosθ + sin(π/2)sinθ
π/2 = 90°
cos(π/2) = cos90° = 0. sin(π/2) = sin90° = 1
cos(π/2 - θ) = cos(π/2)cosθ + sin(π/2)sin<span>θ
</span>
= 0*cosθ + 1*sin<span>θ = </span>sin<span>θ
Therefore </span>cos(π/2 - θ) = sin<span>θ
QED </span>
