3x + 4y = 18......(2,3)
3(2) + 4(3) = 18
6 + 12 = 18
18 = 18...correct
2x - 2y = 2....(2,3)
2(2) - 2(3) = 2
4 - 6 = 2
-2 = 2...incorrect
when (2,3) is subbed into equation 1, it is true
when (2,3) is subbed into the second equation, it is false
the ordered pair (2,3) is not a solution to the system of linear equations
Answer: 80 miles for the first ship, and 150 miles for the other.
Explanation:
First thing we should do is correspond each number with a letter:
Let x be the distance travel by ship heading east
Let y be the distance travel by ship heading south
y = x + 70 -- (1)
sqrt(x^2 + y^2) = 170 -- (2)
Subtract (1) into (2):
sqrt(x^2 + (x + 70)^2) = 170
x^2 + x^2 + 140x + 4900 = 28900
2x^2 + 140x - 24000 = 0
x ^2 + 70x - 12000 = 0
(x - 80)(x + 150) = 0
x = 80 or -150
Since the distance for the first ship can’t be negative, therefore, x = 80 -- (3)
Subtract (3) into (1), therefore, y = 150
Hope this helps! :)
The volume of the diamond will be equal to V=202.56 cm³
<h3>What is volume?</h3>
The Volume of the cone is the amount of quantity, which is obtained in the 3-dimensional space.
The Mass is given as= 712.04 grams
The density is given as =3.51 gram per cm cube
So we know that the density is given by the formula:
V=202.56 cm³
Hence the volume of the diamond will be equal to 
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This is 2/3 / 1/4 = 2/3 * 4/1 = 8/3
Its C
Answer:
3.39
Step-by-step explanation:
Using the formulas
A=πr^2
d=2r
Solving for d
![d = 2 \sqrt[2]{ \frac{a}{\pi} } = 2( \sqrt{ \frac{9}{\pi} } )](https://tex.z-dn.net/?f=d%20%3D%202%20%5Csqrt%5B2%5D%7B%20%5Cfrac%7Ba%7D%7B%5Cpi%7D%20%7D%20%20%3D%202%28%20%5Csqrt%7B%20%5Cfrac%7B9%7D%7B%5Cpi%7D%20%7D%20%29)
π≈3.38514
