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3 years ago

Reuben is making a replica of the US flag for his school project.

1 answer:

8 0

A) The perimeter is twice the sum of length and width.
.. 2*(2.5 cm +4.75 cm) = 14.5 cm

b) (1 in)/(0.5 cm) = (flag perimeter)/(14.5 cm)
.. (14.5 cm)*(1 in)/(.5 cm) = flag perimeter
.. flag perimeter = 29 in

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Calculate a four-day moving average for the price of the stock for the end of day 7. day 1 - 62.00; day 2 - 56.00; day 3 - 50.00

Aneli [31]

At day 7, the four-day moving average for the price of the stock would be $58.25.

<h3>What is the four-day moving average at day 7?</h3>

This can be found as:

= (Day 7 price + Day 6 + Day 5 + Day 4) / Number of days

Solving gives:

= (59 + 55 + 59 + 60) / 4

= 233 / 4

= $58.25

Find out more on moving averages at brainly.com/question/15188858.

#SPJ1

8 0

2 years ago

11x + 10y - 8x - 12y<br><br> (a) x + -2y<br> (b) 3x + 2y<br> (c) -x + 2y<br> (d) 3x + -2y

svetoff [14.1K]

Answer:

d) 3x+-2y

Step-by-step explanation:

combine like terms of x and y

11x-8x=3x

10x-12x=-2y

brainliest?

8 0

3 years ago

A parabola has a focus of F(2, -0.5) and a directrix of y=-1.5 P(x,y) represents any point on the parabola, while D(x, -1.5) rep

prohojiy [21]

The sketch of the parabola is attached below

We have the focus $(a,b) = (2, -0.5)$
The point $P(x,y)$
The directrix, c at $y=-1.5$

The steps to find the equation of the parabola are as follows

Step 1
Find the distance between the focus and the point P using Pythagoras. We have two coordinates; $(2, -0.5)$ and $(x,y)$ .
We need the vertical and horizontal distances to find the hypotenuse (the diagram is shown in the second diagram).
The distance between the focus and point P is given by
$\sqrt{ (x-a)^{2}+ (y-b)^{2} }$

Step 2
Find the distance between the point P to the directrix $c$ . It is a vertical distance between y and c, expressed as $y-c$

Step 3
The equation of parabola is then given as
$\sqrt{ (x-a)^{2}+ (y-b)^{2} }$ = $y-c$
$(x-a)^{2}+ (y-b)^{2}= (y-c)^{2}$ ⇒ substituting a, b and c
$(x-2)^{2}+ (y--0.5)^{2} = (y--1.5)^{2}$
$(x-2)^{2}+ (y+0.5)^{2}= (y+1.5)^{2}$ ⇒Rearranging and making $y$ the subject gives

$y= \frac{ x^{2} }{2} -2x+1$

7 0

4 years ago

If the Alexanders completed the 735 mile trip in 15 hours, what was their average rate of travel?

Darina [25.2K]

The rate of travel here is in mph - "miles per hour".

That just means how many miles you can travel in one hour. In this problem, you're given 15 hours, and the distance they travel within those 15 hours.

Therefore, you should divide both the number of miles and the number of hours by 15 to find out how far they can travel in 1 hour.

735 ÷ 15 = 49 miles
15 ÷ 15 = 1 hour

Their average rate of travel was 49 miles in 1 hour, which is 49 mph.

6 0

3 years ago

Read 2 more answers

2x + y = 2<br><br> x – 2y = -4<br><br> what is x and y?

sergiy2304 [10]

Answer:

x = 0

y = 2

Step-by-step explanation:

2x + y = 2 (Multiply by 2)

x – 2y = -4

4x + 2y = 4

x – 2y = -4

5x = 0

x = 0

2x + y = 2

2(0) + y = 2

0 + y = 2

y = 2

5 0

3 years ago