Answer:
d = 14/5
Step-by-step explanation:
The point (-4,2) means that;
At x = -4, y = 2
Now general form of a linear equation is;
Ax + By + C = 0
We are given;
4y = 3x + 6
Rearranging to the form of a linear equation gives;
3x - 4y + 6 = 0
Thus, A = 3, B = -4 and C = 6
Thus, at point (-4,2), distance between them is;
d = (3(-4) - 4(2) + 6)/√(3² + (-4)²)
d = -14/5
We will take the absolute value.
Thus; d = 14/5
35 necklaces multiplied by 4 weeks is 140. Multiply 140 by 15, representing the amount of money each necklace costs and you get 2,100. That is the total amount sold, but because the 6 costumers brought their necklaces back, you have to take 6 times 15 to see how much the total returned necklaces cost. That would be $210, so you take $2,100 and subtract $210, and your answer is $1,180. That is the final answer.
Answer:
174 ft²
Step-by-step explanation:
The polygon cam be decomposed into two rectangles.
The area of the polygon = rectangle A + rectangle B
Area of rectangle A = L* W
L = 18 ft
W = 9 ft
Area of rectangle A = 18*9 = 162 ft²
Area of rectangle B = L* W
L = 20 - 18 = 2 ft
W = 6 ft
Area of rectangle A = 2*6 = 12 ft²
✔️Area of the polygon = 162 + 12 = 174 ft²
Answer:
i think its -3
Step-by-step explanation:
The answer is 150 million.
Step 1. Calculate the growth rate.
Step 2. Calculate the population number in 2014.
We will use the formula for exponential growth:
A = P * eⁿˣ
where:
A - the final amount (value)
P - the initial amount (value)
e - the mathematical constant (e ≈ 2.72)
n - the growth rate
x - the time
Step 1:
A = 141 million = 141 000 000
P = 136 million = 136 000 000
n = ?
x = 2000 - 1991 = 9
Therefore:

Logarithm both sides of the equation:

Step 2:
Now when we know the growth rate, it is easy to estimate the population in 2016
A = ?
P = 141 000 000
n = 0.004
t = 2016 - 2000 = 16

Thus, the population will be nearly 150 million in 2016