1
Select the correct answer.
What is the general form of the equation of a circle with center at (a, b) and radius of length m?
OA. x + y2 - 2ax – 2by + (a? + b2 - m?) = 0
OB.
x+y + 2ax + 2by+ (a1 + b2 - m?) = 0
O c.
x + y2 - 2ax - 2by + (a + b-m) = 0
OD. x + y2 + 2ax + 2by + 32 + b2 =-m?
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Answer:

The answer is 54 cubes.

Step-by-step explanation:

Answer:

Perimeter of rectangle = 4x + 80

Area = x² + 40x + 384

Step-by-step explanation:

Perimeter of rectangle = 2*(length + width)

                                      = 2* (x + 24 + x + 16)

                                      = 2*( x +x + 24 + 16)    {Combine like terms}

                                      = 2* (2x + 40)

Use Distributive property : a*(b +c) = a *b + a*c

                                     = 2*2x + 2*40

                                     = 4x + 80

Area of rectangle = length * width

                             = (x + 24) (x + 16) {use FOIL method}

                            = x*x + x*16 + 24*x + 24*16

                             = x² + 16x + 24x + 384  {Combine like terms}

                             = x² + 40x + 384

Answer: g(x)=3f(x)

Step-by-step explanation:

So we know it isnt a translation. Which eliminates the first 2 answer choices. So its between the last 2. If it were 1/3 the grap would have been steeper.

I hope this helps!

Answer:

[tex]x(3x + 2) = 3x^2 + 2x[/tex]

Step-by-step explanation:

Given

[tex]x(3x + 2)[/tex]

Required

Apply distributive property

[tex]x(3x + 2)[/tex]

Distribute

[tex]x(3x + 2) = x * 3x + x * 2[/tex]

[tex]x(3x + 2) = 3x^2 + 2x[/tex]

Answer:

-42

Step-by-step explanation:

8 + (-10)5 = 8-50 = -42

Answer:

Step-by-step explanation:

Part A:

Mark did not round to the nearest hundreds, he rounded to the nearest tens.

Option A (Incorrect):

271 and 582 are normally not rounded down, unless we are using limits coming from the left and a unique equation.

Option B (Incorrect):

271 as the same problem as option A, but 582 rounding to 600 is correct. It doesn't make sense to round both numbers differently, unless stated.

Option C (Incorrect):

271 rounding to 300 is correct, but 582 is not normally rounded down to 500 unless we are using limits coming from the left and a unique equation. Unless stated, don't round both numbers differently.

Option D (Correct):

271 rounded to 300 and 582 rounded to 600 looks correct for rounding to the hundreds.

Part B:

There are two ways to solve this question:

One way:

271 + 582 = 853

Round 853 to the nearest hundred for 900

(Note: Round 853 to the nearest tens for 850.)

Second way:

271 + 582

Round Numbers:

300 + 600

= 900

Answer:

12 balloons

Step-by-step explanation:

120 divided by 10 = 12

:)

Answer:

(this isnt a mathematics question, it's science, btw)

Indeed, you are correct. It is 1. I think.

Because you get one allele from each parent, to make up 2 alleles per offspring.

Hope that helps!

Answer:

Step-by-step explanation:

Answer:

3y-4

Step-by-step explanation:

y+7×3-3

(y×3)+7-3

3y-4

Answer:

b

Step-by-step explanation:

Answer:

so I'm not 100% sure but in these types of questions you are supposed to divide

so you have a pack of 24 bottles for 7.99

so you would do 7.99÷24 = 0.33

then to check it you can multiply

0.33× 24 bottles and it gives you 7.93 which is super close to 7.99 anyway I hope this helps ...

Answer:

x-2

Step-by-step explanation:

(x+2)× ___=(x+2)(x-2)

___=(x+2)(x-2)/(x+2)

___=x-2

The polynomial which should be filled in the blank is (x - 2).

Polynomials are mathematical expressions which consist of one or more terms involving variables and coefficients connected with operations like multiplication, subtraction, addition and natural number powers of variables.

Given that,

x² - 4 = (x + 2) (x - 2).

We have to find the blank space.

By commutative property, the other side is also equal.

That is,

(x + 2) (x - 2) = x² - 4

Hence the correct option is (x - 2).

Learn more about polynomials here :

https://brainly.com/question/11536910

#SPJ5

Answer:

2 cm is were youll find the polygon at. it shouldnt be hard to see the area of were the polygon is

Answer:

208 cm²

Step-by-step explanation:

14 cm × 16 cm = 224 cm²

14 cm - 6 cm = 8 cm

8 cm × 2 cm = 16 cm²

224 cm² - 16 cm² = 208 cm²

Answer:

x = 128

Step-by-step explanation:

Adjacent angles - Angles right next to each other. They share a common vertex

Vertical angles - angles that are vertically aligned with each other.

The angle that has a measure of 128 degrees and x are vertical angles

If you didn't know vertical angles are congruent so because one angle equals 128 degrees the other equals 128 degrees

x = 128

The given angle are the vertical angles and the measure of the angle x is 128°.

Given that,
To specify whether the angles are adjacent or vertical. Then find the value of x.

orientation of one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,
By the observation, angle x and 128° are the vertical angles and by the property of the intersection of the line both are equal angles so the measure of angle x is also equal to 128°.

Thus, the given angle is the vertical angle and the measure of the angle x is 128°.

Learn more about Angles here:

https://brainly.com/question/13954458

#SPJ2

Answer:

450 x (1 + 0.5) ^ X = Phone subscribers

Step-by-step explanation:

Since a telecommunications company in a small town had 450 phone subscribers before they introduced a plan for newly joining members, and the company recorded an approximate 50% increase each month in the number of new phone subscribers, where they had one new subscriber at the start of the plan, to determine the number of phone subscribers x months after the plan was launched, the following function must be considered and solved:

450 x (1 + 0.5) ^ X = Phone subscribers

So, for example, in 3 months, the number of subscribers would be the following:

450 x (1 + 0.5) ^ 3 = 1,518.75

Thus, in 3 months, the company would have 1,518 subscribers.

Answer:

$17,280

Step-by-step explanation:

Formula:

I = Prt

Given:

P = 48000

r = 0.06

t = 6

Work:

I = (48000)(0.06)(6)

I = 17280

Answer:

−8y^2+9x+4y+11

Step-by-step explanation:

=12x+4y+−3x+2+−8y^2+9

Combine Like Terms:

=12x+4y+−3x+2+−8y^2+9

=(−8y^2)+(12x+−3x)+(4y)+(2+9)

=−8y^2+9x+4y+11

Good luck <3

Answer:

-8y^2+9x+4y+8

Step-by-step explanation:

^ refers to squared in my answer

Find the volume of each and then divide the volume of the box by the volume of the cube.

Volume of box: 8 1/2 x 5 1/2 x 2 1/2 = 116 7/8 cubic inches.

Volume of cube = 1/2^3 = 1/8 cubic inches

Number of cubes: 116 7/8 / 1/8 = 935 cubes.

Answer:

D

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C

Given

5y = - [tex]\frac{1}{4}[/tex] x - 6 ( multiply through by 4 to clear the fraction )

20y = - x - 24 ( add x to both sides )

x + 20y = - 24 → D

Question: Assume the complete question as, Two forces of 20 Newton’s and 30 Newton’s²  act on a point. The resultant force is 40 Newton’s. Find the angle between the two forces

Answer:

75.5°

Step-by-step explanation:

From the question,

Using cosine rule,

R² = P²+Q²-2PQcosθ................... Equation 1

Where θ angle between the the two forces.

Given; R = 40 Newton, P = 20 Newton, Q = 30 Newton.

Substitute these values into 1

40² = 20²+30²-[2×20×30(cosθ)]

1600 = 400+900-(1200cosθ)

1600 = 1300-1200cosθ

1200cosθ = 1600-1300

1200cosθ = 300

cosθ = 300/1200

cosθ = 0.25

θ = cos⁻¹(0.25)

θ = 75.5°

Hence the angle between the forces is 75.5°

Answer:

Step-by-step explanation:

you do 10/2 for the radius, so that will be 5. then you do 3.14*5*5= 78.5

Answer:

The amount of apples is the Xs and The cost is the Ys

Step-by-step explanation: