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1 year ago

The point (5,-2) is a solution to this system 5x-y=27 -3x+4y=-23. true or false?

Mathematics

1 answer:

zzz [600]1 year ago

8 0

Answer:

True

Step-by-step explanation:

To determine if (5, - 2 ) is a solution to the system , substitute the values of x and y into the left side of both equations and if equal to the right side then it is a solution.

5(5) - (- 2) = 25 + 2 = 27 = right side

- 3(5) + 4(- 2) = - 15 - 8 = - 23 = right side

the point (5, - 2 ) makes both equations true then is a solution to the system.

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2 years ago

A boat is heading towards a lighthouse, whose beacon-light is 126 feet above the water. From point AA, the boat’s crew measures

vredina [299]

Using the slope concept, it is found that the distance from point A to point B is of 887 feet.

<h3>What is a slope?</h3>

The slope is given by the <u>vertical change divided by the horizontal change</u>.

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In this problem, the vertical change is of 126 feet.

At point A, the angle is of 6º, while the horizontal position is of $x_A$ , hence:

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Hence, the distance in feet is of:

$d = x_A - x_B = 1198.8 - 311.9 \approx 887$

More can be learned about the slope concept at brainly.com/question/18090623

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1 year ago

A mini basketball court has an area of 500

aivan3 [116]

Answer:

Step-by-step explanation:

let x,y be the sides of court.

2(x+y)=90

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y=45-x

xy=500

x(45-x)=500

45x-x²=500

x²-45x+500=0

x²-25x-20x+500=0

x(x-25)-20(x-25)=0

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when x=25

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2 years ago

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Answer:

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Step-by-step explanation:

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