Find the coordinates of the circumcenter of the triangle with the given vertices.

L(3,−6), M(5,−3), N(8,−6)

The expression that represents how much money Kate will collect

is y = 5x + 2x.

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given, During a fundraiser, Kate wants to sell the same number of $5 candy bars as $2 candy bars.

Let, The number of candies she sold be 'x' and the total cost of the candies be 'y'.

Therefore, The phrase that describes the amount of money Kate will bring in is y = 5x + 2x.

y = 7x.

learn more about equations here :

https://brainly.com/question/29657988

#SPJ1

Answer:

4n=10-n

n=2

Step-by-step explanation:

add n to both sides

5n=10

divide both sides by 5

n=10/5

n=2

Answer:

(B)

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Substitute values for x until they all work.

A. y = 2 x 2 + 5 = 9 fail

B. y = 2 x 2 - 6 = -2 fail

C. y = -2 x 2 - 5 = -9 fail

D. y = -0.5 x 2 - 5 = -6 ok

y = -0.5 x 5 - 5 = -7.5 ok

y = -0.5 x 6 - 5 = -8 ok

Answer:

A=10.75

Step-by-step explanation:

Formula; A=wl

Plug in values; 2.5·4.3

Area ; 10.75

Answer:

Formula: bh

Plug in Values: 4.33 and 2.5

Area: 10.825 inches squared

Step-by-step explanation:

Before anything, when you converted 4 1/3 to 4.3, I recommend doing 4.33. ‘Ight, let’s begin.

The formula is base times height, therefore, you multiply the base (2.5) times the height (4.33).

2.5x4.33=10.825

The solution to the given quadratic equation is x = -1 + 3i OR x = -1 - 3i

From the question, we are to solve the given quadratic equation

From the given information,

The quadratic equation is

x² + 2x + 10 = 0

Using the Quadratic formula,

x = [-b ± √(b² - 4ac)] / 2a

From the equation,

a = 1, b = 2, and c = 10

Then,

x = [-b ± √(b² - 4ac)] / 2a

x = [-(2) ± √((2)² - 4(1)(10))] / 2(1)

x = [-2 ± √(4 - 40)] / 2

x = [-2 ± √(-36)] / 2

x = [-2 ± -6i] / 2

x = -1 ± 3i

x = -1 + 3i OR x = -1 - 3i

Hence, the solution is x = -1 + 3i OR x = -1 - 3i

Learn more on Solving Quadratic equations here: https://brainly.com/question/8649555

#SPJ1

x=125

...............

Format in the example are Surds on the page above in own word is [tex]36z^{15} ,\ 100,\ 9^7,\ and \ 6r^3\\[/tex]

Surds are the root values for which there is no whole number representation. Indices represent the exponent or power of a value. For instance, the base is 3 and the index is 2 for the number 32. the index being 3/2.

These are the surds rules:

1) [tex](2z^3)^5=32^{15}[/tex]

2)  [tex]\sqrt[3]{1000*1000}=100[/tex]

3) [tex]\frac{9^{3} }{9^{-4} } = 9^7[/tex]

4) [tex](6r^{-3}) ^{-1} = 6r^3[/tex]

To know more about Surds visit:-

brainly.com/question/30069850

#SPJ1

9514 1404 393

Answer:

  26.2 in³

Step-by-step explanation:

The formula for the volume of a cone uses the radius of the cone as one of its variables. Here, the diameter is given, so we need to divide it by 2 to find the radius.

  r = d/2 = (5 in)/2 = 2.5 in

The volume is ...

  V = 1/3πr²h

  V = (1/3)π(2.5 in)²(4 in) = 25π/3 in³ ≈ 26.2 in³

The volume of the cone is about 26.2 in³.

Answer:

it's a terminating decimal

Answer:

The fencing required to enclose a circular garden whose radius is 22m is 138.16m

Answer:

[tex]\boxed {\boxed {\sf 88 \ meters}}[/tex]

Step-by-step explanation:

We want to find the amount of fencing required to enclose the garden. The fencing goes around the garden, which is a circle. Essentially, we are finding the perimeter or circumference of the circle.

The formula for circumference is:

[tex]c=\pi \times d[/tex]

We are given the radius, so we need to find the diameter. The radius goes from the center to the edge of the circle, while the diameter goes from edge to edge through the center. So, the diameter is twice the radius of 14 meters.

Now we know the diameter is 28 meters. We also know 22/7 is being used for pi. Substitute these values into the formula.

[tex]c= \frac{22}{7} \times 28 \ m[/tex]

[tex]c=88 \ m[/tex]

The circumference is 88 meters, so 88 meters of fencing is requires to enclose the garden.

If the measure of angle A equals pi over 6, the angle c equals 18, and the angle an equals 9, triangles may be formed.

You only need to apply the Triangle Inequality Theorem, which asserts that the sum of a triangle's two side lengths is always greater than the third side. A triangle will exist if this holds true for each of the three possible added side length combinations.

From the given information, we have that:

m<B = pi/6 = 30 degres

c = 10

b = 5

This shows that we can use the cosine rule to find the third side b of the triangle. Since all the sides are complete, hence we can use the information given to find just 1 triangle

To know more about angle visit :-

https://brainly.com/question/13954458

#SPJ1

Answer: Show the table

Step-by-step explanation:

SHow the table

Answer:

Distance = 13

Step-by-step explanation:

Using the distance formula, plug in the two points:

d = sqrt(9-(-3))^2+(-3-2)^2

d = sqrt(12)^2+(-5)^2

d = sqrt144+25

d = sqrt169

d = 13

Molly has to walk for 16/x minutes where x is the speed of molly.

Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time

Given here molly needs to cross a river 16 feet then let her speed be x and t be the time taken to cross the river

Then we have x=16/t

                        t=16/x

Hence, Molly has to walk for 16/x minutes where x is the speed of molly.

Learn more about the speed of an object here:

https://brainly.com/question/28224010

#SPJ1

Answer: Bottom left corner

Angle DEC and Angle DEH

=============================================================

Explanation:

I recommend opening your favorite paint program, and using different colors to mark on the drawing as I have done below (see attached image). Note how angle DEC is in red and angle DEH is in blue. The two angles are adjacent, meaning they share the same ray (in this case, ray ED) and they form a straight angle.

Because they form a straight angle, or straight line, this means the two angles are supplementary. Supplementary angles always add to 180.

Answer:

the answer is false because Every system of linear equations has exactly one solution, no solution or infinite number of solutions

Answer:

3.5m(3m + 1.8)

10.5m^2+6.3m

Step-by-step explanation:

On solving the question, 5 topping would pay the same amount for Pizza A and Pizza B,  the value of equation 0.50x=2.50=>   x=5

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

let x be the number of toppings,the total cost of a pizza is given by:

pizza cost+topping cost

for pizza a =10+1.50x

for pizza b=12.50+1.00x

we solve for when cost are same and for how many toppings

   10+1.50x=12.50+1.00x

   10+0.50x=12.50

   0.50x=2.50

        x=5

would pay the same amount for Pizza A and Pizza B. are 5 toppings,

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Answer:

A: y = 9.5x + 22.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]N^{2} =49[/tex]

To solve take the square root of 49.

[tex]\sqrt{49}[/tex] = 7

Option c which is 7

Answer:

150π ft³

Step-by-step explanation:

Volume is ,

=> V = πr²h

=> V = π × (5 ft)² × (6 ft)

=> V = 25 × 6 × π ft³

=> V = 150π ft³

Answer:

Angle BEC and DEA

Step-by-step explanation:

Adjacent = sharing a common side/vertex.

So angle BEC and DEA are adjacent to CED.

Answer:

The answer is 0.54 have a great day

By using concept of angle relationship, we get x equal to 27°.

We compare the position, measurement, and congruence of two or more angles when we talk about angle relationships. For instance, two pairs of vertical angles are created when two lines or line segments intersect.

∠BAF+∠EAF=180°

∠EAF=180° - 138°

∠EAF=42°

Since, ∠EAF and ∠BAC are vertically opposite angle,

Hence,

∠EAF =  ∠BAC =42°

Again,

∠EAD+∠DAC+BAC=180°

4x+30°+42°=180°

4x=180°-72°

4x=108°

x=27

To know more about angle visit:-

brainly.com/question/30147425

#SPJ1

Answer:

its 1 and 3 and 5

Step-by-step explanation:

because i saisd so

Answer: option b), option c), and option e) are correct options.

Step-by-step explanation:

Given:

The area of a rectangular room= 750 square feet

The width of the room = 5 feet less than the length of the room

The length of the room = Y

To find:

Equations that can be used to solve the value of Y i.e. the length of the rectangular room.

Solution:

The equation can be derived from using the following formula:

Area of rectangle = length * width

According to the question,

Length of the rectangular room = Y

Width of the rectangular room = 5 feet less than the length of the room

                                                       = (Y-5)

Since, Area of rectangle = length * width

Area of the rectangular field = length of the room* width of the room

                          750             = Y (Y – 5)                         ………..eqn. (1)

Or, the above equation can be solved a step further and written as

                          750             = Y2 – 5Y                          ………..eqn. (2)

                         750- Y2 + 5Y= 0                                    ………..eqn. (3)

                         750-Y (Y- 5) =0                                    ………..eqn. (4)

Apart from the above equations, if we solve eqn. (2) we get the following equation:

                          750             = Y2 – 5Y

                           Y2 – 5Y- 750= 0

                          Y2 – 30Y + 25Y- 750 = 0

                          Y (Y- 30) + 25 (Y- 30) = 0

                                                                   take Y- 30 common from L.H.S.

                           (Y -30) (Y+ 25)   = 0                            …………….eqn. (5)        

Hence, the correct options are option b), option c), and option e).

Given:

The scale factor between two circles is [tex]\dfrac{2x}{5y}[/tex].

To find:

The ratio of their areas.

Solution:

We know that, all circles are similar.

The ratio of the areas of similar figures is equal to the ratio of squares of their corresponding sides or equal to the square of ratio of their corresponding sides.

The scale factor is the ratio of the corresponding sides.

Ratio of areas of circles = Square of scale factor between two circles

[tex]\text{Ratio of areas of circles}=\left(\dfrac{2x}{5y}\right)^2[/tex]

[tex]\text{Ratio of areas of circles}=\dfrac{(2x)^2}{(5y)^2}[/tex]

[tex]\text{Ratio of areas of circles}=\dfrac{4x^2}{25y^2}[/tex]

Therefore, the correct option is D.