what does PEMDAS mean in math

Completing the squares, it is found that the center and the radius of the circles are given as follows:

a) The center is (-4,1) and the radius is 5.

b) The center is (3, 10) and the radius is 11.

c) The center is (8,-5) and the radius is 1.

d) The center is (-4,0) and the radius is 10.

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

Item a:

x² + 8x + y² - 2y = 8

Completing the squares:

(x + 4)² + (y - 1)² = 8 + 4² + 1²

(x + 4)² + (y - 1)² = 25

Comparing to the standard equation: The center is (-4,1) and the radius is 5.

Item b:

x² - 6x + y² - 20y = 12

(x - 3)² + (y - 10)² = 12 + 3² + 10²

(x - 3)² + (y - 10)² = 121

The center is (3, 10) and the radius is 11.

Item c:

x² - 16x + y² + 10y + 88 = 0

(x - 8)² + (y + 5)² = -88 + 8² + 5²

(x - 8)² + (y + 5)² = 1

The center is (8,-5) and the radius is 1.

Item d:

x² + 8x + y² = 84

(x + 4)² + (y - 0)² = 84 + 4²

(x + 4)² + (y - 0)² = 100

The center is (-4,0) and the radius is 10.

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Answer:

he go 2 full 13 in pecies 2.30

Step-by-step explanation:

Answer:

writing a poem about someone who has died

Step-by-step explanation:

lyric poems are deep, emotional, and powerful, thus the selected option should be best for that

Answer:

The last one

Step-by-step explanation:

Answer:

the graph is shifted up 9, compressed by a factor of 2

Step-by-step explanation:

General form of an absolute value equation:

f(x)= a|x - h| + k

The variable a tells us how far the graph stretches vertically, and whether the graph opens up or down. The variables h tell us how far the graph shifts horizontally and vertically.

parent function f(x) = |x|,  

the translation of the function g(x) = 2|x| + 9 from the parent function.

- the +9 shift the graph up 9

- the 2 compresses the graph

Answer:

10 units

Step-by-step explanation:

From the graph,

Coordinates of A = (-7,-6)

Coordinates of B = (1,0)

Distance between two coordinates is given by the formula,

[tex] = > \sqrt{( {x_{2}-x_{1}}^{2} ) + ( {y_{2}-y_{1}}^{2} )} [/tex]

Let A(-7,-6) = (x1 , y1)

B(1,0) = (x2 , y2)

=> AB = √[( 1 - (-7))² + ( 0 - (-6))²]

=> AB = √ 8² + 6² = √ 64 + 36 = √100

=> AB = 10 units

Answer:

sorry it took long, got a bit distracted.

Answer:

10 cartons

Step-by-step explanation:

1 liter is equal to 1000 milliliters

We are looking for 2 liters of mango juice. So you would need 2000 milliliters of juice.

But the juice is sold in 200 milliliter cartons. So if you multiply 200 by 10, it should give you 2000.

Answer: Choice C)  9/16

Reason:

Square the 3 up top to get 3^2 = 3*3 = 9

Square the 4 down below to get 4^2 = 4*4 = 16

Answer: I’m pretty sure 50 moons could fit inside the Earth.

Step-by-step explanation:

Hope this helps, and have a healthy and happy day. :)

Answer:

49.2

Step-by-step explanation:

See the attachment

Answer:

9.936

Step-by-step explanation:

V = Bh

B = base

base = Lengh x width

base = 4.8 x 2.3

base = 11.04

V = 11.04h

H = height

H = .9

V = .9 x 11.04

V = 9.936

Answer:

9.936 m³

Step-by-step explanation:

Answer:

Point Q

Step-by-step explanation:

Find the perfect squares that are either side of 10.

Perfect squares:  1, 4, 9, 16, 25, ....

Therefore, 10 is between 9 and 16.

[tex]\implies \sqrt{9} < \sqrt{10} < \sqrt{16}[/tex]

[tex]\implies 3 < \sqrt{10} < 4[/tex]

So √10 is between 3 and 4.

As 10 is closer to 9 than it is to 16, √10 is closer to √9 than √16, which means that √10 is closer to 3.

Therefore, point Q best represents √10

When you divide or multiply by a negative number, you must change the direction of the inequality sign. This is because of this rule of inequalities: As you can see, x is originally less than y. But, when it’s multiplied by a negative number, x becomes greater than y. That’s because smaller negative numbers are closer to 0, making them worth more.

The numbers on the mailboxes represent categorical data.

Categorical data are also known as qualitative data. It is a type of that can only take on a fixed number of values. An example of categorical data is gender. One can either be a male or a female.

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Answer:

10 seats

Step-by-step explanation:

600-50 = 550

550/55 = 10

The probability of choosing chocolate, vanilla, and strawberry flavor is 1 / 625

Probability determines the likelihood that a random event would happen.  The probability the event occurs with certainty is 1 and the probability that the event would not occur with certainty is 0.

The probability of choosing chocolate, vanilla, and strawberry flavor = (1 / 25)³ =  1 / 625

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Answer:

EG = 41

Step-by-step explanation:

the 2 base angles are congruent then the triangle is isosceles with the 2 legs being congruent , that is

7x + 9 = 5x + 23 ( subtract 5x from both sides )

2x + 9 = 23 ( subtract 9 from both sides )

2x = 14 ( divide both sides by 2 )

x = 7

then

EG = 6x - 1 = 6(7) - 1 = 42 - 1 = 41

Answer:

EG = 41

Step-by-step explanation:

As two base angles are equal, this is an isosceles triangle and the sides opposite to the equal angles are equal.

  7x + 9 = 5x + 23

Subtract 9 from both sides

         7x = 5x + 23 - 9

         7x = 5x + 14

Subtract 5x from both sides.

    7x - 5x = 14

           2x = 14

Divide both sides by 2

             x = 14/2

             x = 7

EG = 6x - 1

     = 6*7 - 1

     = 42 - 1

EG = 41

Answer:

601sqmm

Step-by-step explanation:

1/2 x AB x AC x sin(79)

= 1/2 x 35 x 35 x sin(79)

= 601.24 sqmm

Answer:

Step-by-step explanation:

Answer:

no you cant

Step-by-step explanation:

slope is

9-(-1)/-2-3

10/(-5)

=-2

slope is -2

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

     What is the slope of the line containing (-2, 9) and (3, -1)?

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

We can find the slope using the following formula:-

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

[tex]\bigstar[/tex] substitute the numbers in lieu of the letters:-

[tex]\boxed{\frac{-1-9}{3-(-2)}}[/tex]

[tex]\dagger[/tex] On simplification,

[tex]\boxed{\frac{-10}{3+2}}[/tex]

[tex]\dagger[/tex] On further simplification,

[tex]\boxed{\frac{-10}{5}}[/tex]

[tex]\dagger[/tex] Which simplifies to

[tex]\boxed{Slope=-2}[/tex]

[tex]\rule{300}{1}[/tex]

The two-dimensional net of this pyramid is the square base has side lengths of 756 feet. the triangular sides have a height of 612 feet.

A square pyramid is a 3-dimensional shape with a square base and 4 triangular faces that are joined at a vertex.

The net of a pyramid is made up of one square  and four triangles. The rectangle is the base of the pyramid, and the triangles are the lateral faces.

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the answer is B, or #2. hope this helps. Edgen 2022.

AnswerAnswer:

a= -2

Step-by-step explanation

[tex]\huge\underline{\purple {A}\purple{n}\purple {s}\purple {w}\purple {e}\purple {r} ➾}[/tex]

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

(1,5)

(-1,3)

Step-by-step explanation:

The solution is in the image

Answer:

245 tiles

Step-by-step explanation:

1 meter = 100 cm

Area of bathroom = 3.5m x 2.8m = 350x280 = 9800 cm²

Area of each tile = 20cm x 20cm = 400 cm²

Total number of tiles required = 9800/400 = 245

Note

Strictly speaking we have to find out how many tiles can be fitted in the length and breadth of the bathroom. Since the bathroom is 350 cm wide, we can fit 350/20cm = 17.5 tiles. However, there is no concept of 1/2 tile so the question has an ambiguity. along the width, we can fit 280/10 = 14 tiles

17.5 x 14 = 245 but if the question is reworded to how many tiles do we need to purchase to floor the bathroom it would be 18 x 14 = 252

Answer:

2. [tex]-2^{3}[/tex]

4. [tex]-1.2^{3}[/tex]

6. [tex]-100n^{3}[/tex]

Step-by-step explanation:

hope this helps and is right!! p.s. i really need brainliest :)

Given Information :-

⠀

⠀

To Find :-

⠀

⠀

Solution :-

⠀

We know that, the formula used to calculate distance , when we are provided with time and speed, is :-

⠀

[tex] ✤ \: \orange{ \underline{ \boxed{ \sf Distance = Speed \times Time}}} \: \star \\ \\ [/tex]

Thus, putting the given values, we will get,

⠀

[tex] \sf \hookrightarrow Distance = \dfrac{6 \: m}{s} \times 5 \: s \\ \\ \\ \sf \hookrightarrow Distance = \frac{6 \: m}{ \cancel s} \times 5 \: \cancel s \\ \\ \\ \sf \hookrightarrow Distance =6 \: m \times 5 \: \: \: \: \\ \\ \\ \sf \hookrightarrow Distance =30 \: m \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]

Thus, the distance covered in 5 second by that speed is 30 m.

⠀

[tex] \underline{\rule{227pt}{1.5pt}} \\ \\ [/tex]

The theoretical probability and experimental probability of spinning an odd number is equal to 5/9 and 2/3 respectively. The theoretical probability is less than the experimental probability of this event.

Theoretical probability of an event is the ratio of number of favorable outcome to the total expected number of outcome of that event.

Vicky has a spinner divided into 9 equal sections that are labeled 1 though 9. There are total 5 odd terms. Thus, the theoretical probability of getting odd in ten spins is,

P=5/9

P=0.556

The data of spin 10 times is:

{2, 4,​ 1, 8, 7, 5, 3, 4, 1, 9}

Here, the odd numbers are 6. Thus, experimental probability of spinning an odd number is,

P=6/9

P=2/3

P=0.667

Thus, the theoretical probability and experimental probability of spinning an odd number is equal to 5/9 and 2/3 respectively. The theoretical probability is less than the experimental probability of this event.

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