Which mathematics property justify the following statement? 3(5x+2)=3×5x+3×2

Mathematics

1 answer:

olchik [2.2K]3 years ago

5 0

3(5x+2)=3×5x+3×2

Distributive property....

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A boat is anchored 2.2 km due south of a lighthouse. Along the shore, the town of Beachton is 16.8 km due east of the lighthouse

pogonyaev

Answer:

16.9 km

Step-by-step explanation:

From the diagram attached, we can see that the problem forms a triangle.

So, to find the distance(d) from the boat to Beachton , we can make use of Pythagoreas theorem.

Thus;

d² = 16.8² + 2.2²

d² = 282.24 + 4.84

d² = 287.08

d = √287.08

d = 16.9434

Approximating to the nearest tenth, we have;

d ≈ 16.9 km

6 0

3 years ago

In attempting to solve the system of equations and , John graphed the two equations on his graphing calculator. Because he saw o

asambeis [7]

Answer:

The correct answer is NO.

Step-by-step explanation:

John is graphing two lines with equations say ax + by + c = 0 and dx + ey +f =0 on his graphing calculator.

For John to get a unique solution the coefficients should follow the following condition $\frac{a}{d} \neq \frac{b}{e}$ . So when he plots the lines he get an intersecting pair of lines.

For John to get no solution the coefficients should follow the following condition $\frac{a}{d} = \frac{b}{e} \neq \frac{c}{f}$ . When we plot in this case we get two parallel lines.

For John to get an infinite many solution the coefficients should follow the following condition $\frac{a}{d} = \frac{b}{e} = \frac{c}{f}$ . And when we plot the lines in this case we get one line superimposed on the other.