Answer:
.
Step-by-step explanation:
Let 
represent this exponential function. 
, 
.
. As a result, 
.
.
As a result,
.
.
This function represents an exponential decay since 
.
Answer: 11x + y +28 = 0
Step-by-step explanation:
To find the equation of the line, we must first find the slope(m)
Given ; x₁= -3 y₁ = 5 x₂= -2 y₂= -6
slope(m) = y₂ - y₁ / x₂ - x₁
= -6-5 / -2-(-3)
= -11/(-2+3)
= -11
slope(m) = -11
We can now proceed to find tge equation.
Equation of a straight line is;
y - y₁ = m (x - x₁)
y - 5 = -11 (x --3)
y - 5 = -11 (x +3)
y - 5 = -11x - 33
y + 11x -5 +33 =0
y + 11x -28 =0
11x + y - 28 = 0
24.) y = mx + b
slope(m) = 0.25
(0,4)...x = 0 and y = 4
now we sub and find b, the y int
4 = 0.25(0) + b
4 = b
so ur equation is : y = 0.25x + 4
26.) y = mx + b
slope(m) = 3/2
(-5,1)....x = -5 and y = 1
sub and find b, the y int
1 = 3/2(-5) + b
1 = - 15/2 + b
1 + 15/2 = b
2/2 + 15/2 = b
17/2 = b
ur equation is : y = 3/2x + 17/2
28.) y = mx + b
slope(m) = 4
(0,0)...x = 0 and y = 0
time to sub
0 - 4(0) + b
0 = b
so ur equation is : y = 4x + 0.....or just y = 4x
30.) (7,1)(7,8)....notice how the x's are the exact same number....this
means that ur line is a vertical line with a slope that is undefined.
ur equation is : x = 7
32.) (-2,-3)(0,0)
slope = (0 - (-3) / (0 - (-2) = (0 + 3) /(0 + 2) = 3/2
y = mx + b
slope(m) = 3/2
(0,0)...x = 0 and y = 0
sub
0 = 3/2(0) + b
0 = b
ur equation is : y = 3/2x + 0 or just y = 3/2x
34.) (1/3,0)(0,-1/4)
slope = (-1/4 - 0) / (0 - 1/3) = (-1/4)/(-1/3) = -1/4 * -3 = 3/4
y = mx + b
slope(m) = 3/4
(0,-1/4)...x = 0 and y = -1/4
sub
-1/4 = 3/4(0) + b
-1/4 = b
so ur equation is : y = 3/4x - 1/4
You use the tan/cos/sin rules
So we know that the hypotenuse=46.8, opposite=44
We can use sin (negative) to find it
sin^-1=opp/hyp
sin^-1=44/66.8
=70 degrees
Hope this helps!! :)
