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Zepler [3.9K]
3 years ago
10

Answers for the 2 boxes please:)​

Mathematics
1 answer:
masha68 [24]3 years ago
6 0

Answer:

(5,-5)

Step-by-step explanation:

<u>Eliminate</u><u> </u><u>y-term</u>

(2x + 5x) + ( - 3y + 3y) = 25 + 10 \\ 7x = 35 \\ x =  \frac{35}{7}  \\  x = 5

We can eliminate x-term but for this system of equations, eliminating y-term is faster.

<u>Substitute</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>5</u><u> </u><u>in</u><u> </u><u>any</u><u> </u><u>given</u><u> </u><u>equations</u><u>.</u>

I will choose to substitute in the first equation.

2x - 3y = 25 \\ 2(5) - 3y = 25 \\ 10 - 3y = 25 \\ 10 - 25 = 3y \\  - 1 5 = 3y \\ 3y  =  - 15 \\ y =  - 5

<u>Answer</u><u> </u><u>Check</u>

Substitute both x-value and y-value in any given equations

2x - 3y = 25 \\ 2(5) - 3( - 5) = 25 \\ 10 + 15 = 25 \\ 25 = 25

The equation is true. (<em>It</em><em> </em><em>is</em><em> </em><em>better</em><em> </em><em>to</em><em> </em><em>check</em><em> </em><em>both</em><em> </em><em>the</em><em> </em><em>answer</em><em> </em><em>for</em><em> </em><em>both</em><em> </em>equation.)

Thus the answer is (5,-5)

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lutik1710 [3]
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Use the position equation given below, where s represents the height of the object (in feet), v0 represents the initial velocity
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(a) 7.5 seconds

(b) The horizontal distance the package  travel during its descent is 1737.8 ft

Step-by-step explanation:

(a) The given function for the height of the object is s = -16·t² + v₀·t + s₀

The initial height of the object s₀ = 900 feet

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158 miles/hour = 231.7126 ft/s

The horizontal distance the package  covers in the 7.5 second of vertical flight = 231.7126 ft/s × 7.5 s = 1737.8445 feet = 1737.8 ft to one decimal place

The horizontal distance the package  travel during its descent = 1737.8 ft.

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