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Alona [7]
3 years ago
5

Choose the property that justifies the equation(properties of addition)

Mathematics
1 answer:
White raven [17]3 years ago
4 0
Additive inverse property
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30. Multiply a decimal less than 1 and a whole number._____________________
Talja [164]
30.
the multiplication of a decimal less than 1 and a whole number is always smaller than the whole number, because we are taking a fraction of the whole number.

31.
the product of a decimal greater than 1 and a whole number is always greater than the whole number because we are scaling the whole number.
3 0
3 years ago
An irrigation system (sprinkler) has a parabolic pattern. The height, in feet, of the spray of water is given by the equation ℎ(
maw [93]
  1. The irrigation system is positioned 9.5 feet above the ground to start.
  2. 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.
  3. The spray reaches all the way to the ground at about 10.87 feet away​

<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

#SPJ1

<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​

8 0
2 years ago
Is 6x³- 4x+1 a binomial or trinomial?​
andreev551 [17]

Answer:

( a ) Trinomial, the degree of the polynomial = 3

( b ) Polynomial, the degree of the polynomial = 4

( c ) Binomial, the degree of the polynomial = 2

( d ) Monomial, the degree of the polynomial = 1

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
What is the equation of a line that contains the points (8, –3) and (–8, 3)?
DerKrebs [107]

Answer:

1. D y = 8

2. C y = −8

Step-by-step explanation:

1.Both points have y-coordinate 8, so the line is horizontal.

A horizontal line has equation y = k

where k is the y-coordinate of all of its points.

The y-coordinate of all points on this line is 8.

Answer: y = 8

2.A line with 0 slope is a horizontal line. All points on a horizontal line have the same y-coordinate.

A horizontal line has equation

y = k

where k is the y-coordinate of all of its points.

The y-coordinate of the given point is -8, so all points must have -8 as the y-coordinate.

Answer: y = -8

8 0
3 years ago
Please help me answer
Alla [95]

Answer:

No

Step-by-step explanation:

6 0
3 years ago
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