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3 years ago

What is the solution to the system of equations?

Mathematics

1 answer:

Minchanka [31]3 years ago

4 0

Answer:

(1, –5)

Step-by-step explanation:

It is relatively easy to try the offered solutions to see what works.

(1, -5)

3(1) +10(-5) = -47 . . . true

5(1) -7(-5) = 40 . . . true

(1, -5) is the solution

_____

As a check, you can try some of the other choices:

(1, 5)

3(1) +10(5) ≠ -47

(-1, -5)

3(-1) +10(-5) ≠ -47

(-1, 5)

3(-1) +10(5) ≠ -47

None of the other choices works in the first equation, so they're not the solution.

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Answer:

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Step-by-step explanation:

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We can assume that the random variable t represent the number of years that the radio is already here. So the interest is find this probability:

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$=\frac{1}{8} \int_{8}^{\infty} e^{-\frac{1}{8}x}dx$

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Answer:

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Step-by-step explanation:

First, visualize. Assuming that the tower is at a perfectly 90° angle to the ground, you have a right triangle. We will call this triangle ΔABC where A is where you are, B is the top of the tower, and C is the base of the tower. Now we know the following:

∠A = ?

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Note: Triangles are labeled with three pairs of letters: a, b and c and A, B and C. The lower case letters, a, b and c represent the sides, and the upper case letters are the angles that are directly opposite of those sides. (see attached reference)

c is easy, c is the hypotenuse, so you can use the following equation to find the hypotenuse:

a² + b² = c²

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c = ± $\sqrt{a^{2} +b^{2} }$