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1 year ago

7

Show all your calculations, including anything you plug into a calculator. If you use an app, please

1 answer:

katen-ka-za [31]1 year ago

3 0

Robert Morris, generally considered the financier of the Revolution, donated ships from his fleet of tobacco-trading vessels and turned to privateering. Raiding British convoys, he became the richest man in America. He personally signed 6,000 notes to pay off Washington's troops when the war ended.

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What are the focus and directrix of the parabola with the equation y=1/12 x^2

Nataly [62]

<h2>Answer:</h2>

$\boxed{y=-3}$

<h2>Step-by-step explanation:</h2>

The graph of this parabola is shown below. From this graph we know that:

VERTEX:

$(h,k)=(0,0)$

DIRECTIX:

Since the vertex lies on the origin and the parabola opens upward, then the standard form of this parabola is:

$x^2=4py$

So:

$y=\frac{1}{12}x^2 \\ \\ \therefore 12y=x^2 \ or \ x^2=12y \\ \\ \\ Then: \\ \\ 4p=12 \therefore p=3$

Then the directrix is:

$y=k-p \\ \\ \therefore y=0-3 \therefore \boxed{y=-3}$

4 0

3 years ago

XZ = 15 and the perimeter of XWZ is 50. What is the length of WZ?

Rom4ik [11]

Answer:

17.5

Step-by-step explanation:

The perimeter is the sum of the side lengths:

perimeter = XZ +WZ +WX

The figure shows us WX = WZ, so we can rewrite the formula as ...

perimeter = XZ +2·WZ

Filling in the given values, this becomes ...

50 = 15 + 2·WZ

35 = 2·WZ

35/2 = WZ = 17.5

The length of WZ is 17.5 units.

6 0

3 years ago

***NOTE YOU WOULD EARN 40 POINTS IF YOU ANSWER THIS QUESTION***

SSSSS [86.1K]

Answer:

mint

Step-by-step explanation:

3 0

3 years ago

Harman [31]

Check the picture below.

8 0

3 years ago

A school paid $31.25 for each calculator.

Sonja [21]

Answer:

500/31.25=16

Step-by-step explanation:

The school bought 16 calculators

4 0

2 years ago