How do you solve 2. 310x/4y times 8y/5x =

Reflecting the polygon FGHI across the line involves flipping the line across the line y = -1

The coordinates are given as:

F(2, – 1), G(5,2), H(8, 3), and I(6, 0)

The line of reflection is given as:

y = -1

To reflect the line, we apply the following rule of reflection

(x,y) [tex]\to[/tex]  (x,-y-2)

So, we have the following coordinates of the image

F' = (2, – 1)

G' = (5,-4)

H' = (8, -5)

I' = (6, -2)

See attachment for the image of the reflected polygon

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Roy bought 35 pounds of pet food.

Addition is one of the four basic operations of arithmetic, The addition of two whole numbers results in the total amount or sum of those values combined.

Addition is the process of finding the total, or sum, by combining two or more numbers.

An example of addition is: 5 + 11 + 3 = 19.

Given that, Roy bought a 25 pound bag and a 10 pound bag of pet food we need to find that how many pounds of pet food did he buy

Since, we are required to find what amount of pet food did Roy bought from the market, here we will simply add both the amounts to get the total amount.

Total food =  25 pound bag + 10 pound bag

= 35 pound bag

Hence, Roy bought 35 pounds of pet food.

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Answer: 5/8

Step-by-step explanation:

You could convert 1/4 to 2/8 because the numbers you're subtracting have a common factor of 2. After subtracting 2/8 from 7/8, you're left with 5/8.

Answer:

7/8 - 1/4 = 5/8

Step-by-step explanation:

The equation is 7/8 - 1/4 = ?

So you need to have a common denominator for both fractions in order to subtract the two.

In order to make 7/8 and 1/4 have a common denominator, multiply 1/4 by 2. Then it becomes 2/8.

Now you can subtract the two fractions because they both have a common denominator.

7/8 - 2/8 = 5/8

the volume of the pot.

bolume of a triangular prism= BH

area of a triangle= 1 / 2 × base × height

B = 1 / 2 × b × h

b = 3 units

h = 5 units

B = 1 / 2  × 3 × 5

B = 15 / 2

B = 7.5 units²

H = 26 units

 B = 7.5 units²

V = 7.5 × 26

V= 195 unit³

so, the volume of the pot is 195 unit³.

The perimeter of the flag Akihiro draws is the sum of the flag's side lengths

The perimeter of the flag Akihiro draws is 20 units

From the coordinate plane, the side lengths of the flag are:

6 units, 4 units, 6 units and 4 units

Add up the side lengths, to determine the perimeter (P)

P = 6 units + 4 units + 6 units + 4 units

Evaluate the sum

P = 20 units

Hence, the perimeter of the flag Akihiro draws is 20 units

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Answer:

20 units

Step-by-step explanation:

Answer:

y = -x + 3

Step-by-step explanation:

the equation is parallel to the line

y + x = 4

y = 4 - x

parallel means the same slope. So our new equation has a slope of -1

Now, the equation of a line is given by y = mx + b where m is the slope.

y = -x + b

now we plug in the points given in the question to find b.

4 = 1 + b

b = 3

so the final answer is y = -x +3

make sure to comment if you need any further guidance.

Answer:

impossible? you have only 2 coins

Answer:

I'm going to assume you mean 3 fair coins. The probably would be 1/8, so unlikely.

Step-by-step explanation:

Using sampling concepts, it is found that a systematic sampling of 500 words would be achieved as follows:

B. Randomly select one of the first 200 words and then every 200th word thereafter for the sample.

Samples may be classified as:

In this problem, he wants a systematic sampling, hence he should choose every kth word, which means that the answer is between options a and b.

He will choose 500 words out of 100,000, hence the value of k is given by:

k = 100000/500 = 200.

Which means that option B is correct.

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Answer:

B

Step-by-step explanation:

khan

Answer:

864 cm²

Step-by-step explanation: Volume of cube Side^3

Side of Cube= (1728)^1/3 = 12cm Total surface area = 6 x Side^2= 6 x 144 = 864 cm²

Answer:

C) $560

Step-by-step explanation:

Suppose that: r=price of red bike ,  b=price of blue , g=price of green.

Given: r=(2/3)b   g=(5/4)b  g=210+b  

Solution:

(5/4)b=210+b                   (g=g)

(5/4)b-b=210                   (take b as common factor)

b((5/4)-1)=210                  

b(0.25)=210  

b=210/0.25=$840    (so the price of blue bike is 840$)

Substitute b in equation of r:

r=(2/3)b=(2/3)(840)=560

so red bike costs $560.

Given figure is a parallelogram

To Find

Value of"x"

[tex]m \angle \: A = m \angle \: C[/tex]

[tex]2x + 35 = 5x - 22[/tex]

[tex] \implies 2x - 5x = - 22 - 35 \div \\ \implies - 3x = - 57 \\ \\ \implies x = \frac{ - 57}{ - 3} \\ \\ \implies x = \cancel\frac{ - 57}{ - 3} \\ \\ \implies x = 19[/tex]

[tex]\therefore \text{Option C= 19 is the correct answer}[/tex]

Answer:

d. 5(d - 4)

Step-by-step explanation:

the entrance fee is d dollars

a booklet of ride tickets cost 2.5 times the entrance fee = 2.5d

a meal ticket costs $4 less than the entrance fee = d - 4

One meal ticket costs d - 4.

Five meal tickets cost 5(d - 4).

Answer: d. 5(d - 4)

Answer:

it should be over 8 inches long

Step-by-step explanation:

by the instructions

a side of a triangle is 8 inches and other one is 4 inches

and the OPPOSITE of OBTUSE angle is the 3 Rd one

As the Third side which connect the 1st and 2nd side ( of the obtuse angle) it should be over 8 inches.

Answer:

Step-by-step explanation:

4 * 9 + 2* 9 + 1/2*6 * 3

= 36 + 18 + 9

= 63 in^2

Answer: C) [tex]f^{-1}(x)=3-7x[/tex]

Step-by-step explanation:

When solving for an inverse of a function replace f(x) with x and replace the original x with y.

[tex]f(x) = \frac{3-x}{7} \\x=\frac{3-y}{7}[/tex]

Now solve for y

[tex]x=\frac{3-y}{7} \\(7)x=(\frac{3-y}{7}) (7)\\7x=3-y\\7x+y=3-y+y\\7x+y=3\\7x-7x+y=3-7x\\y=3-7x[/tex]

Replace y with the [tex]f^{-1}(x)[/tex]

Answer:

A

Step-by-step explanation:

3 * 10^2 is 300miles in 5hrs. that sounds more reasonable than the other options. have a good day! pls give brainliest

Answer:

slope = - 2

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = ( - 1, 2) ← 2 points on the line

m = [tex]\frac{2-0}{-1-0}[/tex] = [tex]\frac{2}{-1}[/tex] = - 2

Answer:

[tex]slope = -2[/tex]

Step-by-step explanation:

Step 1:  Determine two points

We need to take two points off of the equation that is used in thsi graph and we can see that we have (0, 0) and (-1, 2)

Step 2:  Determine the slope

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{2 - 0}{-1 - 0}[/tex]

[tex]m = \frac{2}{-1}[/tex]

[tex]m = -2[/tex]

Answer:  [tex]slope = -2[/tex]

Answer:

[tex]7y=-5x-11[/tex]

Step-by-step explanation:

Since it says the lines are parallel both of their gradients will be same.

so gradient of line 1 = [tex]y=\frac{14-5x}{7}[/tex] = [tex]y=\frac{14}{7}-\frac{5x}{7}[/tex]= [tex]-\frac{5}{7}[/tex]

so equation of line 2 = [tex]y-y_{1}=m(x-x_{1} )[/tex]

                                   = [tex]y-(-3)_{}=\frac{-5}{7} (x-(-2)_{} )[/tex]

                                   = [tex]y +3=-\frac{5}{7}x+\frac{10}{7}[/tex]

                                   = [tex]y =-\frac{5x+10}{7}-3[/tex]

                                   = [tex]7y=-5x-11[/tex]

Step-by-step explanation:

basically a line equation typically looks like

y = ax + b

with a being the slope, and b bent the y-intercept (y value when x = 0).

5x + 7y = 14

7y = -5x + 14

y = -5/7 x + 14/7 = -5/7 x + 2

so, wie know the slope of the original line : -5/7 .

any line parallel to it must have the same slope.

our desired line looks like

y = -5/7 x + b

to get b we use the provided point (-2, -3).

-3 = -5/7 × -2 + b = 10/7 + b

-21/7 = 10/7 + b

-31/7 = b

and the full equation is

y = -5/7 x - 31/7

7y = -5x - 31

5x + 7y = -31

Answer:

(0,0)

Step-by-step explanation:

x value of vertex = -b/2a

ax^2+bx+c

-2x^2+0x+0 sinc you have no value of b & c in your quadratic function

-b = 0

2a = (2)(-2)

-b/2a = (0/-4) = 0

x value of the vertex = 0

plug 0 in for all values of x in the function to find y coordinate value

-2(0)^2 = 0

(x,y) = (0,0)

Answer:

261.05

Step-by-step explanation:

A=½ bh

The base is 22.7

The height is 23

22.7×23=522.1

Since the shape is a triangle we divide it by 2!!

522.1÷2=261.05

The perimeter of the figure is 261.05. Hope you understand how to solve it now :))

The resulting points of the rectangle after applying rigid transformations are E'(x, y) = (2, -1), F(x, y) = (2, -3), G(x, y) = (-2, -3), H(x, y) = (-2, -1).

Rigid transformations are transformations in which Euclidean distances are conserved in every point of the geometrical locus. Reflections and translations are sound examples of rigid transformations.

Based on all the information given in the statement, we must apply the following vectorial formula to each vertex of the rectangle EFGH:

(x', y') = (x + 3, -y)     (1)

If we know that E(x, y) = (-1, 1), F(x, y) = (-1, 3), G(x, y) = (-5, 3) and H(x, y) = (-5, 1), then the new coordinates are calculated below:

E'(x, y) = (2, -1), F(x, y) = (2, -3), G(x, y) = (-2, -3), H(x, y) = (-2, -1)

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The approximate length of the actual object is 1465 ft, which is closest to option D.

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).

First, let's convert the length of the model from millimeters to inches:

372.5 mm = 372.5/10 cm = 37.25/2.54 in ≈ 14.65 in

Next, we can use the scale of the model to find the length of the actual object in feet:

0.5 in. = 50 ft.

So, 1 in. = 100 ft.

Therefore, the length of the actual object in feet is:

14.65 in x (100 ft/in) = 1465 ft

Therefore, the closest length is 1467 feet.

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well, we know that π is 180°, so then what is 3π/5?

[tex]\begin{array}{ccll} radians&degrees\\ \cline{1-2} \pi &180\\ \frac{3\pi }{5}&x \end{array}\implies \cfrac{\pi }{~~ \frac{3\pi }{5}~~}~~ = ~~\cfrac{180}{x}\implies \cfrac{5\pi }{3\pi }=\cfrac{180}{x} \\\\\\ \cfrac{5}{3}=\cfrac{180}{x}\implies 5x=540\implies x=\cfrac{540}{5}\implies x=108[/tex]

Answer:

KR = 9

Step-by-step explanation:

If K is the midpoint of ER, then EK = KR and ER = 2(EK).

Given:

         ER = 2(EK)

⇒ 4x + 2 = 2(x + 5)

⇒ 4x + 2 = 2x + 10

⇒ 2x + 2 = 10

⇒ 2x = 8

⇒ x = 4

As EK = KR  and EK = x + 5  and x = 4:

⇒ KR = 4 + 5    

⇒ KR = 9

KR:-

The amount of ml required for the 1500mg order is 2.1ml

Conversion factors are used to convert units from one form to another.

Using the conversion factor

2.2g = 2200mg

x = 1500mg

Find the ratio of the expressions

2.2/x = 2200/1500
2200x = 2.2 * 1500
2200x = 3300
X = 3300/2200
x = 1.5grams

Since the dosage is 2.2 g/3 ml, then for 1.5grams

Volume required = 1.5*3/2.2
Volume required = 2.1 ml

Hence the amount of ml required for the 1500mg order is 2.1ml

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The area of the hexagon and pentagon area 779.4cm^2 and 84.303cm^2 respectively.

Data;

The area of a hexagon with apothem 15 can be calculated by first finding the length of the side of the hexagon.

Length of hexagon can be found using trigonometric ratio;

[tex]a = x\sqrt{3}[/tex]

Making x the subject of formula

[tex]x = \frac{a}{\sqrt{3} }\\x = \frac{15}{\sqrt{3} }\\x = 8.660[/tex]

And then the length of the side is 2x

[tex]s = 2 * 8660 = 17.32[/tex]

The perimeter of the hexagon is;

[tex]p = 6s \\p = 6 * 17.32=103.92[/tex]

And the area is given as

[tex]A = \frac{1}{2} * perimeter * apothem\\A = \frac{1}{2} * 103.92 * 15\\A = 779.4unit^2[/tex]

The area of the hexagon is 779.4 squared unit.

The area of the pentagon can be found using several methods, but we can simply find the angle between the sides if we divide the pentagon into 10 pieces and then substitute the formula.

Total area of a pentagon is 360 degree.

[tex]\theta = \frac{360}{10} = 36^0\\[/tex]

The area of a pentagon is given as

[tex]A = \frac{5s^2}{4 tan \theta} \\A = \frac{5 * 7^2}{4* tan36} \\A = 84.303cm^2[/tex]

The area of the pentagon is 84.303cm^2

From the calculations above, the area of the hexagon and pentagon area 779.4cm^2 and 84.303cm^2 respectively

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Answer:

105.2°

Step-by-step explanation:

Supplementary means the angles add up to 180. 180-74.5=105.2

Answer:

The answer is 15.2

Step-by-step explanation:

This is literally the EASIEST subject in math so all you do is subtract 90 - 74.8 easy peasy! That's middle school math lol.

Answer:

Hope the picture will help you

Answer:

(- 2, 0 )

Step-by-step explanation:

to find where the line crosses the x- axis, let y = 0 in the equation and solve for x.

0 = 3x + 6 ( subtract 6 from both sides )

- 6 = 3x ( divide both sides by 3 )

- 2 = x

the line crosses the x- axis at (- 2, 0 )

Instead of y write 0:

0=3x+6

0=3x+6

Subtract 6 on both sides :

-6 = 3x

Switch the order :

3x = -6

Divide by 3 on both sides :

x = -2

Now that we know the x coordinate of the point, we should find the y coordinate, which is always equal to 0.

(-2, 0)