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Anit [1.1K]
3 years ago
7

What is the best next step in the construction of the perpendicular bisector of AB?

Mathematics
1 answer:
Vladimir79 [104]3 years ago
6 0

Answer:

This construction shows how to draw the perpendicular bisector of a given line segment with compass and straightedge or ruler. This both bisects the segment (divides it into two equal parts, and is perpendicular to it. It finds the midpoint of the given line segment.

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Shakespear's Pizza sells 1 comma 100 large Vegi Pizzas per week for ​$16 a pizza. When the owner offers a​ $5 discount, the week
zimovet [89]

Answer:

(a) A(x) = 100x + 1100

(b) x = 2.5 USD

(c) A(x) = 100x + 1100 and x = -1.5 USD

Step-by-step explanation:

(a) Since there's a linear relation between weekly sales A(x) and the discount, we can model it as the following expression

A(x) = mx + b

where x is the discount, m is the slope and b is the intersect of the linear equation. We can solve for slope first

m = \frac{s_2 - s_1}{x_2 - x_1} = \frac{1600 - 1100}{5 - 0} = \frac{500}{5} = 100

To solve for b, we can just plug in m = 100, x = 0 and A(0) = 1100

1100 = 100*0 + b

b = 1100

Therefore A(x) = 100x + 1100

With discount x, the actual price would then be p - x. Where p is the original undiscounted pricing ($16 in this case)

And with sale A(x), the revenue would then be

R = (p - x)A(x) = (p - x)*(100x + 1100)

R = 100xp + 1100p - 100x^2 - 1100x

R = -100x^2 + (100p - 1100)x + 1100p

To find the maximum value of this, we can take the 1st derivative and set it to 0

R' = -200x + 100p - 1100 = 0

200x = 100p - 1100

x = \frac{100p - 1100}{200} = 0.5p - 5.5

when p = $16 then x = 0.5*16 - 5.5 = 8 - 5.5 = 2.5 USD

(c) when the price p is $8 then A(x) would sill be 100x + 1100 because it doesn't depend on p, but the discount. But to maximize the revenue, x will need to be

0.5p - 5.5 = 0.5*8 - 5.5 = 4 - 5.5 = -1.5 USD

So the Pizza owner would need to raise the price by 1.5 USD because originally the pizza is already inexpensive.

4 0
2 years ago
I’ll Brainlylist to whoever gets this correct - Due today <br> Please and thank you
Mariulka [41]

Answer:

1. 0 & 2

2. 5

3. 10

4. 17

hope this helps!

4 0
2 years ago
Write the following comparison as a ratio reduced to lowest terms.<br> 114 hours to 13 days
kicyunya [14]

The ratio of 114 hours to 13 days is 19:52.

<h3>How to calculate the ratio?</h3>

It should be noted that ratio is simply used to show the comparison between two things that are illustrated.

In this case, we want to calculate the ratio of 114 hours to 13 days. It should be noted that 24 hours make one day. Therefore, 13 days will be:

= 13 × 24 = 312 hours.

The ratio of 114 hours to 13 days will be:

= 114 / 312

= 19 / 52

The ratio is 19:52.

Learn more about ratio on:

brainly.com/question/2328454

#SPJ1

6 0
11 months ago
200 chairs on 40 rows ___ in each row (answer it please)
Solnce55 [7]
<span>200 chairs on 40 rows _ 5__ in each row

200/40 =5</span>
6 0
3 years ago
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Eight subtracted from 4 times a number is equal to 4 less than 6 times the number.
butalik [34]
8-4 \cdot x=4-6\cdot x \\\\ 8-4x=4-6x \\\\ -4x+6x=4-8 \\\\ 2x=-4 \ \ \ |:2 \\\\ \boxed{x=-2}
5 0
2 years ago
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