4. The function A(r) = πr² gives the area of a circle with radius r. What is the context domain?

I only need help with #4 pls

Number Line:

Closed Circles are used when signs are "≤" or "≥"

Open Circles are used when signs are "<" or ">"

The graph of x > -1 on a number line would be towards the right from -1 with open circle as the sign is ">"

Graph should look like this:

The slope of the  line passing through the points (3, 3) and (0, -6) is 3.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We need to find the slope of line passing through points (3, 3) and (0, -6)

Plug in the values in formula.

m=-6-3/0-3

m=-9/-3

m=3

Hence, the slope of the  line passing through the points (3, 3) and (0, -6) is 3.

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Answer:

[tex]\overline{TH}[/tex]

Step-by-step explanation:

The diameter of a circle is a line that goes from one side to the other in a circle. It is the longest straight line that can be drawn in a circle. It also goes through the center of a circle.

That is the answer

- Kan Academy Advance

Answer:

150

Step-by-step explanation:

The common difference, d, is +3      add +3 to find the next term.

  to find the second term add +3 to the first term

     to find the third term add  2 * +3

        to find the 60th term add  59 * +3 to the first term

                 -27  +   (59*3) = 150

Answer:

94

Step-by-step explanation:

add all the sides together

Answer:

20cm²

Step-by-step explanation:

3+3=6, 4+1=5 (make it a rectangle and find the sides first)

A=6×5=30cm²

Now you can take away the invisible sides,

30-6-3-1=20

Answer:

f(x)=2|x|

Step-by-step explanation:

graphing calculators work wonderz

The quadratic functions are given as below:-

x = 3y² - 6y + 5

y = 2x² + 2

y = 2x² -8x + 6

y = 5x² + 45x -8

The polynomial having a degree of two or the maximum power of the variable in a polynomial will be 2 is defined as the quadratic equation and it will cut two intercepts on the graph at the x-axis.

As we know that the function which will have the highest power of the variable equal to 2 will be called a quadratic polynomial.

So from the given expressions following equations has a degree of 2.

x = 3y² - 6y + 5

y = 2x² + 2

y = 2x² -8x + 6

y = 5x² + 45x -8

Therefore the above equations are quadratic functions.

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Answer:

4x(2x-1)

Step-by-step explanation:

Using GCF, you can be able to take out a factor of 4x from 8x^2 and 4x.

Answer:

a=263.76cm3

b=301.44cm3

c=41.52m3

Answer:

B i think

i examined carefully and im %75 sure that is it B

Step-by-step explanation:

im so sorry if it's wrong

Answer:

B

Step-by-step explanation:

more people prefer chicken.

because  73 people prefer chicken.

more people under 40 prefer chicken.

because 39 people prefer chicken where as only 21 people prefer steak

so the correct answer is b

Answer:

√10+√15-√14-√21

Explanation:

(√2 * √5) = √10

(√2 * -√7) = -√14

(√3 * √5) = √15

(√3 * -√7) = -√21

Put it all together: √10 + √15 - √14 - √21

Hope this helped :)

The simplified form of the expression  (√2+√3)(√5-√7) is √10-√14+√15-√21

An expression is combination of variables, numbers and operators.

The given expression is (√2+√3)(√5-√7)

√2(√5-√7) + √3(√5-√7)

We have to apply  distributive property

√2.√5 - √2.√7 + √3.√5 -√3.√7

√2×5 -√2×7 +√3×5 -√3×7

√10-√14+√15-√21

Hence, the simplified form of the expression  (√2+√3)(√5-√7) is √10-√14+√15-√21

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The greasiest possible number of intersections for these graphs is 2 if the Mark is solving an equation where one side is a quadratic expression and the other side is a linear expression.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

As we know the standard form of a quadratic equation is:

[tex]\rm Y = \rm ax^2+bx+c[/tex]

And a linear equation can be written as:

y = mx + d

Equating both the expression:

ax² + bx + c = mx + d

ax² + (b-m)x + c - d = 0

The above equation is an also quadratic equation, and we know that the quadratic equation have maximum two roots.

Thus, the greasiest possible number of intersections for these graphs is 2 if the Mark is solving an equation where one side is a quadratic expression and the other side is a linear expression.

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The difference in distance between Aero plane A and B is; 34.67 km

To get the bearing;

∠H = (115 - 90) + (270 - 203)

∠H = 92°

Then, we will use cosine rule to get the distance between both Planes A and B.

d_ab = √(18² + 29² - 2(18 * 29) * cos 92)

d_ab = √(324 + 841 + 36.435)

d_ab = 34.67 km

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The number of small tiles are needed​ is 300 tiles.

Using area of rectangular formula

Area of the room = length(l) × breadth (b)

Area of the room=300 cm×180 cm

Area of the room=54,000 cm²

Number of tiles needed = Area of rectangular region / Area of one tile

Number of tiles needed=54,000/180

Number of tiles needed=300 tiles

Therefore the number of small tiles are needed​ is 300 tiles.

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Answer:

z = 10

Step-by-step explanation:

First apply multiplication to inside the parenthesis:

2(z+5) = 2z + 10

5(z+ 2) = 5z + 10

10(z − 1) = 10z - 10 now write the full equation

2z + 10 + 5z + 10 = 10z - 10 add like terms

7z + 20 = 10z - 10 transfer like terms to the same side of the equation

20 + 10 = 10z - 7z

30 = 3z divide both sides by 3

10 = z

Answer:

3x - 11

Step-by-step explanation:

x + 5/ 3x-11

3x - 11 is the quotient

Answer:

x = 55.866 ft.

Step-by-step explanation:

39^2 + 40^2 = x^2

1521 + 1600 = 3121

sqrt(3121) = 55.8659

Rounded = 55.866

Make sure to add the ft.

Answer:

Step-by-step explanation:

a²+b²=c²

39²+40²=c²

3121=c²

c=√3121

c=55.866 to 3.d.p

Answer:

He can print 62 documents

Step-by-step explanation:

500/8=62.5

He can print only 62 documents because he cannot print half a document.

Hope this helps!

If not, I am sorry.

Answer:

Correct option is C)

given, y≥2x+1 and

y>

2

1

x−1

Answer:

D

Step-by-step explanation:

y>_2/3 x+1 (as diagram shows the deepest line that's why it should be either greater than or equal sign or less than or equal sign)

Now check those point,

we get for (-3,-1) is -1=-1 and for (3,3) is 3=3. This can be greater than bcoz it's upon the root point.

The value of the expression f(5) + j(-2)  is -8 where f(x)=12-3x and j(x)=x² + 4x - 1

The expression is given as:

f(5) + j(-2)

Where f(x)=12-3x and j(x)=x² + 4x - 1

Calculate f(5) and j(-2)

f(5)= 12 - 3(5) = -3

j(-2) = (-2)² + 4(-2) - 1 = -5

So, we have:

f(5) + j(-2)  = -3 - 5

Evaluate

f(5) + j(-2)  = -8

Hence, the value of the expression f(5) + j(-2)  is -8

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Answer:

  0.86°

Step-by-step explanation:

The relations between trig functions and sides of a right triangle are summarized in the mnemonic SOH CAH TOA. It tells you the relation between an angle and its adjacent and opposite sides is ...

  Tan = Opposite/Adjacent

__

The geometry described in the problem statement is modeled by the right triangle shown in the attachment. (The horizontal scale has been compressed.) The angle of interest has an adjacent side of 400 ft. Its opposite side is the additional elevation the ball must have to clear the fence (8 ft - 2 ft) = 6 ft.

For angle α, we have the relation ...

  tan(α) = (6 ft)/(400 ft) = 0.015

The inverse tangent function can be used to find the angle from its tangent:

  α = arctan(0.015) ≈ 0.859372°

The angle of elevation needs to be a minimum of 0.86°.

Answer:

D

Step-by-step explanation:

7.50/10=0.75

0.75*6=4.5

So, you will get 6 batteries for $4.50 which of course is less than $4.95.

Answer:8000 i think

Step-by-step explanation:

=20 to the power of nine-20 to the power of four=20 to the power of three.

20 to the power of three is 8000.

Hope this helps.

Answer:

Step-by-step explanation:

I’m not sure u didn’t even add numbers

Answer:

tanG = 2

tanH = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The function tangent is the opposite side divided by the adjacent one(SohCahToa).

Relative to angle G, the side with measure 2 is opposite while the wide with measure 1 is adjacent. From this we can set up an equation and substitute:

tan(m<G) = [tex]\frac{opposite}{adjacent}[/tex]

tan(m<G) = [tex]\frac{2}{1} = 2[/tex]

The same can be done for <H. The opposite side is 1 while the adjacent is 2:

tan(m<H) = [tex]\frac{opposite}{adjacent}[/tex]

tan(m<H) = [tex]\frac{1}{2}[/tex]

Answer:

-2/5

Step-by-step explanation:

the distance between -1 and -3 on the y-axis is 2. 2 is the rise of your slope. two find the run, find the distance between -5 and 0. The distance is negative 2. Rise over run equals the slope so -2/5 is the answer

Answer:

True

Step-by-step explanation:

Cant really provide step by step per se.