MATHEMATICS HIGH SCHOOL

. . Select interior, exterior, or on the circle (x - 5) 2 + (y + 3) 2 = 25 for the following point.. . (3, 2). . interior. exterior. on the circle

Answers

Answer 1

Answer: Hello,

C=(5,-3)
P=(3,2)
PC²=(3-5)²+(2+3)²=29
29>25 ==> P is exterior to the circle.

Answer 2

Answer:

Answer:

Step-by-step explanation:

C=(5,-3)

P=(3,2)

PC²=(3-5)²+(2+3)²=29

29>25 =P is exterior to the circle

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Work out the area of a parallelogram of base 10cm and height 7cm.
Compute the distance between the two points. (3, 7) and (0, 0)

Solve the following equation. Remember to check for extraneous solutions 7/(b+3) + 5/(b-3) = (10b-2)/(b²-9).

Answers

Answer:

b= 2 is the solution for the given equation.

Step-by-step explanation:

Here, the given expression is:

$(7)/((b+3)) + (5)/((b-3)) = (10b -2)/((b^(2) -9))$

Simplifying Left side, we get

$(7)/((b+3)) + (5)/((b-3))$

= $(7(b-3) + 5(b+3))/((b+3)(b-3))$

Also, by ALGEBARIC IDENTITY: $x^(2) -y^(2) = (x+y)(x-y)$

So, $(b+3)(b-3) = b^(2) -9$

So, LHS becomes $(7(b-3) + 5(b+3))/(b^(2) -9)$

Compare both Left side, Right side we get

$(7(b-3) + 5(b+3))/(b^(2) -9)$ = $(10b -2)/((b^(2) -9))$

or, 7(b-3) + 5(b+3) = 10b -2

⇒ 7b - 21 + 5b + 15 = 10b -2

or, 12b - 10b = 6-2

or, 2b = 4 ⇒ b = 4/2 = 2

⇒ b= 2 is the solution for the given equation.

If a caterer charges a fixed cost for preparing a dinner plus an additional cost for each person served. You know that the cost for 100 students will be $750 and the cost for 150 students will be $1050. find the caterers fixed cost and the cost per student served.

Answers

$x+100y=750 \n x+150y=1050 \n 50y=300 \n y=6 \n x=750-600=150$
The fixed cost is $150, while the per-student cost is $6.

It would be $6 per student while the fixed cost is $150

The ratio of the radii of two similar cylinders is 3:5. The volume of the smaller cylinder is 54pi cubic centimeters. Find the volume of the larger cylinder.

Answers

The volume of the larger cylinder is 250Pi.

We have given that,

The ratio of the radii of two similar cylinders is 3:5. The volume of the smaller cylinder is 54pi cubic centimeters.

We have to determine the volume of the larger cylinder.

What is the formula of the cylinder?

The formula to calculate the volume of a cylinder is given by the product of base area and its height.

5/3 = 1.66667

1.666666^3=4.6296 (Volume is measured in cubic units)

54x4.6396=250

250 x pi = 250Pi.

To learn more about the cylinder visit:

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5/3 = 1.66667

1.666666^3=4.6296 (Volume is measured in cubic units)
54x4.6396=250
250 x pi = 250Pi.

A carton of paper is priced at $27.00 now. If the papergoes on sale for 25% off the current price, what will be the sale price of the carton?

Answers

If a pack of paper costs $27.00 right now. If the paper is discounted by 25% from its regular price, the carton will be sold for $6.75.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

Given that a carton of paper costs $27.00 right now, If the price of the paper is discounted by 25%,

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

The sale price of the carton is,

sale price = 25% of the current price

sale price =(25/100)× $27.00

sale price = $6.75

Thus, if a pack of paper costs $27.00 right now. If the paper is discounted by 25% from its regular price, the carton will be sold for $6.75.

Learn more about the percentage here:

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Divide the 27 by 4 and that will give you 6.75. Subract the 6.75 from the 27 and theres your answer (20.25) so the sale price is $20.25

-1 + n/2 = -11
HELP
THNX

Answers

Answer:

n = -20

Step-by-step explanation:

$-1 +(n)/(2) = -11\n$ add 1 on each side

$(n)/(2) = -11 + 1\n\n(n)/(2) =-10$ multiply by 2

n = -20

For the polynomial 8x3y2 – x?y2 + 3xy2 – 4y3 to be fully simplified and written in standard form, the missing exponent on the x-term must be

Answers

In writing the standard form, the order of the exponents of the terms must be decreasing from left to right. Looking at the first term on the left, the exponent of x is 3. Looking at the third term from the left, the exponent of x is 1. Therefore, the missing exponent on the x-term must be 2.

Short answer: 2

Why?

The missing x term is between an exponent of 3 and 1. Because this is standard form, we put the biggest exponent first and then go down the list. Therefore, it must be 2.

Good luck!

-RxL

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