Answer
the answer is P=7.8
Step-by-step explanation:
P=14.7e -0.21x
X=14.7e (-0.63)
take the natrual log of both sides
1n(P)=1n(14.7e(-.63)
1n(P)=1n(14.7)-.63
(because ln(e^a) = a)
1n(P)=2.688 - .63
1n(P)=2.058
P=e 2.058
P=7.8
Answer:
x = 12
Step-by-step explanation:
The sum of the two smaller angles is 140
80+5x = 140
Subtract 80 from each side
80+5x-80 =140-80
5x = 60
Divide each side by 5
5x/5 = 60/5
x = 12
Answer:
OPTION A: 2x + 3y = 5
Step-by-step explanation:
The product of slopes of two perpendicular lines is -1.
We rewrite the given equation as follows:
2y = 3x + 2
⇒ y =
The general equation of the line is: y = mx + c, where 'm' is the slope of the line.
Here, m = .
Therefore, the slope of the line perpendicular to the line given = because .
To determine the equation of the line passing through the given point and a slope we use the Slope - One - point formula which is:
y - y₁ = m(x - x₁)
The point is: (x₁, y₁) = (-2, 3)
Therefore, the equation is:
y - 3 = (x + 2) $
⇒ 3y - 9 = -2(x + 2)
⇒ 3y - 9 = -2x - 4
⇒ 2x + 3y = 5 is the required equation.