2x+ 5y = 15
5x+10y = 35
O A. (5.-1)
O B. (5,1)
(
O C. (10,-1)
O D. (10,1)

The center of a circle that includes the points (-5, 2) and (-3, 6) could be (a) (0,2)

The points are given as:

(-5, 2) and (-3, 6)

The equation of  a circle is represented as:

[tex](x -a)^2 + (y - b)^2 = r^2[/tex]

Where:

Substitute both points in the above equation

[tex](-5 + a)^2 + (2 - b)^2 = r^2[/tex]

[tex](- 3+ a)^2 + (6 - b)^2 = r^2[/tex]

The radii are equal.

So, we have:

[tex](-5 + a)^2 + (2 - b)^2 = (- 3+ a)^2 + (6 - b)^2[/tex]

Expand the equations

[tex]25 -10a + a^2 + 4 - 4b + b^2 = 9 - 6a + a^2 + 36 - 12b + b^2[/tex]

Evaluate the like terms

[tex]25 -10a + 4 - 4b = 9 - 6a + 36 - 12b[/tex]

Collect like terms

6a -10a - 4b + 12b = 9  + 36  - 25 - 4

Evaluate

-4a + 8b = 16

Divide through by - 4

a - 2b = -4

Next, we test the options:

Option (a) (a,b) = (0,2)

Substitute these values in the equation

0 - 2*2 = -4

Evaluate

-4 = -4

Both sides of the equation are the same

Hence, the center of a circle that includes the points (-5, 2) and (-3, 6) could be (a) (0,2)

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Answer:

x = 33.

x = 2.

Step-by-step explanation:

200(x-0.3)=600

200x - 60 = 600

200x - 60 + 60 = 600 + 60

200x = 660

x = 660/200

x = 3.3.

-10(x-1.7)=-3

-10x + 17 = -3

-10x + 17 - 17 = -3 - 17

-10x = -17 - 3 = -20

     x = 2.

Answer:

x plus y is 44 to the 99th power

Step-by-step explanation:

The fact that the healthy school lunch has a higher price than the current lunch means that it has a higher economic cost.

An economic cost in this scenario, is the increased cost that comes with a commodity having greater perceived value.

A healthy school lunch will help a person stay healthy which is why it has more value than the current lunch. This is the reason for its higher price.

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Answer: cost

Step-by-step explanation:

Answer:

$8.78

Step-by-step explanation:

first you need to find 20% of $175.50

which is 35.10

then you divide 35.10 by 4 leaving you with 8.78

please mark brainliest

Answer:

B and D

Step-by-step explanation:

hope it helps in some way possible

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

if we ever face a number written in the form of [tex]\underline{x^{n}}[/tex]where x denotes the base and n denotes the exponent or power , we can expand it in the following way -

[tex] x^{n} = x \times x \times x \times.... x ( upto\: " n " \: times )[/tex]

therefore ,

[tex]8 {}^{5} = 8 \times 8 \times 8 \times 8 \times 8[/tex]

option ( B )

hope helpful -,-

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[tex]\diamond\:\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\:\diamond[/tex]

           ✶ How would you write [tex]\bold{8^5}[/tex] as a multiplication expression [tex]\textit{?}[/tex]

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}\diamond[/tex]

    ✶ The exponent indicates how many times a certain number was multiplied by itself.

      ✶ In this case we have [tex]\bold{8^5}[/tex], so 8 was multiplied by itself five times.

So we conclude that [tex]\bold{8^5}[/tex] written as a multiplication expression looks as follows:-

[tex]\bigcirc\!\!\!\!\checkmark[/tex] 8•8•8•8•8

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Answer:

3 cups of butter ivy will have left over

Answer:

Below in bold.

Step-by-step explanation:

7,16,10,16,9,13,14

Arrange in ascending order:

7 9 10 13 14 16 16

The median = middle value

= 13 pounds.

Mean = (7+9+10+13+14+16+16)/7

= 12.14 pounds.

Answer:

I believe it should be the first one

Step-by-step explanation:

in the first one if you put a line straight it would cross it twice making it not function.

Answer:

The first one is not a function.

Step-by-step explanation:

When you perform the vertical line test on the graphs, the first graph is the only one that passes through a X value multiply times.

The length of AD in triangle ABC in which ∠1 = ∠2 is 3.75.

The (interior) bisector of an angle, also called the internal angle bisector, is the line or line segment that divides the angle into two equal parts.

Here, Let the lenght of AD be x

         AB = 10 , AC = 6 and BC = 6

by Angle-Bisector theorem which states that

if a ray bisects an angle of a triangle, then it divides the opposite side into segments that are proportional to the other two sides.

So, CD/BD =AC/AB

      CD/(BC-CD) = 6/10

       10. CD = 6.BC - 6.CD

        16 CD = 6 X 6

         16 CD = 36

          CD = 36/16

         CD  = 2.25

Now, AD = AC - CD

         AD = 6 - 2.25

         AD = 3.75

Thus, the length of AD in triangle ABC in which ∠1 = ∠2 is 3.75.

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Answer:

650

Step-by-step explanation:

195

_. of 30

100

and these 30 zero cut and 100 zero also cut and 3 * 195= 65 and 65 x 10 =650

Answer:

Step-by-step explanation:

It nearly confused me, but I got the entire thing in my brain.

Given equation:

Solve:

Answer is 95.2.

Answer:

Square root of 169 by Prime factorization is 13×13

Answer:

13*13

Hope this helped!

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[tex]\diamond\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

         [refer to attachment for question]

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

Remember, the radius is exactly one-half of the diameter, so if we need to find the diameter, we multiply the radius times 2:-

r=6.5m

d=13m

r=9.1 ft

d=18.2 ft

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Answer:

Step-by-step explanation:

Making the equation of the parabola :

⇒ y = a(x - h)² + k

⇒ y = (x + 1)² - 17 - 13

⇒ y = (x + 1)² - 30

x-intercepts have y = 0 :

Taking the square root on each side :

The x-intercepts are :

Answer:

D

Step-by-step explanation:

The median is 8, so it is less than 9.

Answer:

Option D is not true

Step-by-step explanation:

The mode is the highest occuring number.From the data.

The mode is 9 and is greater than 7.This mean option A is correct.

The range is the difference between the highest number and the lowest which is 15-4 =11.Hence option C is correct because the range is more than 10.

The median when the data is arranged in either ascending or descending order i.e (15,12,11,9,9,7,5,4).Hence,the middle numbers are 9 and 9.To get the median,we get the average of the numbers which will be 9+9=18 ÷2= 9. The median is 9 which means option D is not correct.

The mean will be the addition of the numbers divided by the number of items

[tex] \frac{9 + 15 + 5 + 7 + 9 + 12 + 11 + 4}{8} [/tex]

[tex] = \frac{72}{8} [/tex]

[tex] = 9[/tex]

The mean is equal to 9 which means Option B is correct.

This implies that the only option which is incorrect is option D

Answer:

A.

Step-by-step explanation:

C = 2πr = πd

A. C = π(38.5 in.) = 120.95 in.

First guess: Answer: A.

Answer:

43.75, or 43.8 to the nearest 10th

Step-by-step explanation:

The mean is the mathematical average of a set of two or more numbers.  Summing the numbers in a set and dividing by the total number gives you the arithmetic mean.

The total of your numbers is 700.

There are 16 numbers.

700 divided by 16 is 43.75

Step-by-step explanation:

a = 2

b = 1

c = 4

[tex]3ac - a + 2b[/tex]

= Solution ,

= 3 × 2 × 4 - 2 + 2 × 1

= 24 - 2 + 2

= 24 + 2 - 2

= 26 - 2

= 24

hence the answer is 24....

The value of the expression will be   [tex](xy)^2+\dfrac{1}{(xy)^2}=2[/tex]

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that:-

The value of the expression is [tex]xy+\dfrac{1}{xy}=2[/tex]

So we need to find [tex](xy)^2+\dfrac{1}{(xy)^2}=?[/tex]

The value of the expression will be calculated as:-

 [tex]xy+\dfrac{1}{xy}=2[/tex]

Squaring the above equation.

[tex](xy)^2+\dfrac{1}{(xy^2)}+2\times (xy)^2\times \dfrac{1}{(xy^2)}=4[/tex]

[tex](xy)^2+\dfrac{1}{(xy^2)}=2[/tex]

Again squaring the above expression.

[tex](xy)^4+\dfrac{1}{(xy^4)}+2\times (xy)^4\times \dfrac{1}{(xy^4)}=4[/tex]

[tex](xy)^4+\dfrac{1}{(xy^4)}=2[/tex]

Hence the value of the expression will be   [tex](xy)^2+\dfrac{1}{(xy)^2}=2[/tex]

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Answer:

the answer is A for the shaded region

Answer:

2513 miles

Explanation:

[tex]\sf Length \ of \ arc = \dfrac{\theta}{360} * 2\pi r[/tex]

Here given:

∅ = 36°

radius = 4000 miles

Insert following:

[tex]\sf \rightarrow \dfrac{36}{360} * 2\pi (4000)[/tex]

[tex]\sf \rightarrow 800\pi \ \ \ (in \ terms \ of \ \pi )[/tex]

[tex]\sf \rightarrow 2513.3 \ \ (rounded \ to \ nearest \ tenth)[/tex]

[tex]\sf \rightarrow 2513 \ \ (rounded \ to \ nearest \ mile)[/tex]

The economic order quantity of the product with the demand of 390 units is 1392.86 units.

This refers to an inventory management technique that helps make efficient inventory management decisions.

The formula for economic order quantity is [tex]\sqrt{2 * D * S / H}[/tex]

Given data

Demand = 390 units.

Unit price of product is ETB 25.

Ordering cost is ETB 40 per order

inventory carrying cost is estimated to be 35 percent per yer

EOQ = [tex]\sqrt{2*390*25/40*0.35}}[/tex]

EOQ = 19,500 / 14

EOQ = 1392.85714286

EOQ = 1392.86 units

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Answer:

No

Step-by-step explanation:

5(-3)= -15

5(1)= 5

-15+5=-10

-10 is greater than -19 not less than or equal too.

Hope this helps!