3 years ago

What is the answer to 19/5+5/4

Mathematics

2 answers:

elena-s [515]3 years ago

7 0

Answer:

exact form : 101/20

Decimal : 5.05

Mixed Number: 5 1/20

Furkat [3]3 years ago

4 0

The answer would be 101/20

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Which equation represents the equation of the parabola with focus (-3 3) and directrix y=7?

Artemon [7]

Answer:

The equation $y=\frac{-x^2-6x+31}{8}$ represents the equation of the parabola with focus (-3, 3) and directrix y = 7.

Step-by-step explanation:

To find the equation of the parabola with focus (-3, 3) and directrix y = 7. We start by assuming a general point on the parabola (x, y).

Using the distance formula $d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }$ , we find that the distance between (x, y) is

$\sqrt{(x+3)^2+(y-3)^2}$

and the distance between (x, y) and the directrix y = 7 is

$\sqrt{(y-7)^2}$ .

On the parabola, these distances are equal so, we solve for y:

$\sqrt{(x+3)^2+(y-3)^2}=\sqrt{(y-7)^2}\\\\\left(\sqrt{\left(x+3\right)^2+\left(y-3\right)^2}\right)^2=\left(\sqrt{\left(y-7\right)^2}\right)^2\\\\x^2+6x+y^2+18-6y=\left(y-7\right)^2\\\\x^2+6x+y^2+18-6y=y^2-14y+49\\\\y=\frac{-x^2-6x+31}{8}$

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3 years ago

The new Coat and Jacket Store was ready to open. The workers put out 42 racks of men’s and boy’s coats and jackets with 16 items

Nataliya [291]

42 x 16=672
35 x 24=840

672+840=1512

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3 years ago

What is the place value of the number 9 in 328.095?

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Answer:

The tenths place

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3 years ago

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Assoli18 [71]

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Step-by-step explanation:

I belive it is slower because the scooter was 30 feet per 2 seconds. 30+30+60 feet, 2+2= 4 seconds= 60 feet and 4 seconds which makes the 55 feet per 4 seconds slower.

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4 years ago