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3 years ago

-1.6 + (-2.4) add. write your answer in simplest form

Mathematics

2 answers:

svlad2 [7]3 years ago

7 0

Answer:

The answer is -4

Step-by-step explanation:

You would write put the equation -1.6+(-2.4) and then you can circle the -1.6 and the -2.4 and then on top of both forms you can put if it is negative and positive. If they are both negative and positive then you add both of them and then determine the sign. If both of them are not negative or positive then you would subtract and to find the sign for unlike integers you would look at the number with the greatest absolute value.

alukav5142 [94]3 years ago

5 0

Answer:

-4

Step-by-step explanation:

<u>Step 1: Combine</u>

Adding a negative number is same as subtracting a number.

-1.6 + (-2.4)

-1.6 - 2.4

-4

Answer: -4

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maw [93]

The irrigation system is positioned 9.5 feet above the ground to start.
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<h3>How to determine the position?</h3>

Since the height (feet) of the spray of water is given by this equation h(x) = -x² + 10x + 9.5, we can logically deduce that the irrigation system is positioned 9.5 feet above the ground to start.

<h3>How to determine the maximum height?</h3>

For any quadratic equation with a parabolic curve, the axis of symmetry is given by:

Xmax = -b/2a

Xmax = -10/2(-1)

Xmax = 5.

Thus, the maximum height on the vertical axis is given by:

h(x) = -x² + 10x + 9.5

h(5) = -(5)² + 10(5) + 9.5

h(5) = -25 + 50 + 9.5

h(5) = 34.5 feet.

Therefore, the spray reaches a maximum height of <u>84.5 feet</u> at a horizontal distance of <u>5 feet</u> away from the sprinkler head.

Also, the spray reaches all the way to the ground at about:

Maximum distance = √34.5 + 5

Maximum distance = 10.87 feet.

Read more on maximum height here: brainly.com/question/24288300

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<u>Complete Question:</u>

An irrigation system (sprinkler) has a parabolic pattern. The height, in feet, of the spray of water is given by the equation h(x) = -x² + 10x + 9.5, where x is the number of feet away from the sprinkler head (along the ground) the spray is.

1. The irrigation system is positioned____ feet above the ground to start.

2. The spray reaches a maximum height of ____feet at a horizontal distance of feet away from the sprinkler head.

3. The spray reaches all the way to the ground at about_____ feet away

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