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AleksandrR [38]
2 years ago
10

Brian draws a triangle on the coordinate plane and names it AMNB. The dilation

Mathematics
1 answer:
Shkiper50 [21]2 years ago
3 0

Answer:

Step-by-step explanation:

I am looking for the answers and I can’t find it

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U have a 90% chance of picking an orange marble, 10% of picking a different color
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ILL GIVE U BRAINLYIST
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When a sprinkler is installed in the ground, the spray of water goes up and falls in the pattern of a parabola. The height, in i
Westkost [7]

Answer:

(1) 256 inches

(2) 5 feet

(3) 400 inches

(4) 10 feet

Step-by-step explanation:

(1) The function that gives the height in inches of the spray of water at a distance <em>x</em> from the sprinkler head is given as follows;

h(x) = 160·x - 16·x²

At x = 2 feet, we have;

h(2) = 160 × 2 - 16 × 2² = 256

Therefore, the height of the spray water at a horizontal distance of 2 feet from the sprinkler head h(2) = 256 inches

(2) The x-coordinate, x_{max}, of the maximum point of a parabola given in the form, y = a·x² + b·x + c is found using the following formula;

x_{max} = -b/(2·a)

The x-coordinate, x_{max}, of the maximum point of the given equation of the parabola, h(x) = 160·x - 16·x², (a = -16, b = 160) is therefore;

x_{max} = -160/(2 × (-16)) = 5

Therefore, the number of feet along the way, the function will reach maximum height, x_{max} = 5 feet

(3) The function, h(x) = 160·x - 16·x², will reach maximum height, h_{max}, at x = 5, therefore;

h_{max} =  h(5) = 160 × 5 - 16 × 5² = 400

The maximum height of the spray, h_{max} = 400 inches

(4) The water is at ground level where h(x) = 0, therefore;

At ground level, h(x) = 0 = 160·x - 16·x²

160·x - 16·x² = 0

∴ 16·x × (10 - x) = 0

By zero product rule, we 16·x = 0, or (10 - x)  = 0, from which we have;

x = 0, or x = 10

The water is at ground level at x = 0 and x = 10 feet, therefore, the water will hit the ground again (the second time after leaving the sprinkler head at x = 0) at x = 10 feet.

7 0
2 years ago
Which expression is equivalent to 4(3+5)-3.94?
kondor19780726 [428]

Answer:

4(3+5)-3.94

4(8)-3.94

32 - 3.94

what do you mean by . multifaction or decimal

Step-by-step explanation:

3 0
3 years ago
How do I put improper fractions in order on a number line? Ex: these 3 fractions are out of order 4/3, 7/3 and 17/9 where does t
aliya0001 [1]
If you divide the fractions, you get 4/3=1.33; 7/3=2.33; and 17/9=1.88
Find the decimal places on the number line and label them with the fractions. I hope this helps!
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