The radius of a circle is 2 feet longer than the radius of another circle. What is the
radius of each if their areas differ by 241 square feet?

Answer:

A.

Step-by-step explanation:

Answer:

The answer is a.

Step-by-step explanation:

When you plug in 2 for n, 2 - 1  1, so we put 5 for a (because a superscript 1 = 5) and evaluate. This number then become a superscript 2.

Answer:

Step-by-step explanation:

2x - 3x + 20 + 5x - 40 = 4       combine like terms

(2x - 3x + 5x) + (20 - 40) = 4

4x - 20 = 4      add 20 to both sides

4x = 24     divide both sides by 4

x = 6

Answer:

B 1,60

Step-by-step explanation:

Answer:

B 1,60

Step-by-step explanation:

did the test

Answer:

5+2x

Step-by-step explanation:

Answer:

5 + 2x

Step-by-step explanation:

Answer: y+2=-4/5(x-3)

Step-by-step explanation:

The equation of the line passing through the point (3, -2) with a slope of - 4 is y = -4x+10

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given is a slope of a line and a point passing by it, we need to find the equation of the line,

So, the general equation of the line is :-

y = mx + c

where, m is the slope, and the c is the y-intercept.

Put the value of the slope given, in the equation,

y = -4x+c

Now, for find the value of c, just put the values of the x and y from the point in the equation,

-2 = -4(3) + c

c = -2+12

c = 10

Now, we get the value of the c,

So, the equation is y = -4x+10

Hence, the equation of the line passing through the point (3, -2) with a slope of - 4 is y = -4x+10

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Answer:

that answer is b

Step-by-step explanation:

hope this helps

The area of square ABCD would be; 64 unit sq.

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

D = √[(x-p)² + (y-q)²]    units.

Given that Square ABCD has vertices; A(-4.5, 4), B(3.5, 4),C(3.5, -4), and D(-4.5, -4).

To find the distance from two of the vertices of the square. The distance formula is as follows;

√[(x-p)² + (y-q)²]  

A(-4.5, 4), B(3.5, 4),

D = √[(x-p)² + (y-q)²]  

D = √(3.5-(-4.5))² +(4 -(4))²

D = √(3.5-(-4.5))² +(4 -(4))²

D = √(64 + 0)

D = 8

Therefore, the side of the square is 8 units.

The area of the square = side x side

= 8 x 8

= 64 unit sq.

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Answer:

b<0

Step-by-step explanation:

2(b+2)>4(1+5b)−b

Step 1: Simplify both sides of the inequality.

2b+4>19b+4

Step 2: Subtract 19b from both sides.

2b+4−19b>19b+4−19b

−17b+4>4

Step 3: Subtract 4 from both sides.

−17b+4−4>4−4

−17b>0

Step 4: Divide both sides by -17.

−17b

−17

>

0

−17

b<0

Answer:

b<0

Answer:

2(b + 2) > 4(1 + 5b) -b

2b + 4 > 4 + 20b -b

2b - 20b + b > 4 - 4

-17b > 0

b < 0/-17

b < 0

Answer:

[tex]Volume = 8m^3[/tex]

Step-by-step explanation:

Given

[tex]Cubes = 8[/tex]

[tex]Length = m[/tex] for each

Required

Determine how much all cubes can hold

First, we need to determine the volume of each.

[tex]Volume = m * m * m[/tex]

[tex]Volume = m^3[/tex]

For the 8 cubes, we have:

[tex]Volume = 8 * Volume\ of\ 1[/tex]

[tex]Volume = 8 * m^3[/tex]

[tex]Volume = 8m^3[/tex]

Answer:

3 and 5

Step-by-step explanation:

Hope this helped :)

I did the same assignment and it was right!

Answer:

here is the answer

Step-by-step explanation:

Answer:

2, 3 and 4 represent the graph in the pic

Step-by-step explanation:

When you look at the graph, you can immediately tell the gradient and the y-intercept. The gradient is 1/2 and the y-intercept is -1

Hence the graph in the picture follows the formula: y = 1/2x - 1

When you expand/rearrange the options (1-5) into the slope form you would be able to see which of these options matches with the formula of the line.

1. y= 2x-1: Isn't the same as the equation of the line in the pic

2. Rearrange:

-2y = -x + 2        (divide both sides by 2)

y = x/2 - 1          (x/2 = 1/2x, its the same thing)

3. y= 1/2x - 1       (this is the formula of the line)

4. Expand right-hand-side:

y + 3 = 1/2x + 2    (rearrange)

y = 1/2x - 1            (this is the formula of the line)

5. Expand right-hand-side

y - 2 = 1/2x - 1      (rearrange)

y = 1/2x + 1          (is not the formula of the equation)

Answer:

Step-by-step explanation:

“Would I rather be feared or loved? Easy. Both. I want people to be afraid of how much they love me.” – Michael G. Scott

The answer is 35

Since they are supplementary they both equal 180 degrees.

(3x+10)+(2x-5)=180

Add them up

5x-5=180

Subtract 5 from both sides

5x=180-5

5x=175

Divide 5 from both sides

x=35.

Answer:

The answer is -2/Trust

Step-by-step explanation:

Answer:

Its D 100%

Step-by-step explanation:

Answer:

[tex]-20x^{7}y^{11}z^{4}[/tex]

Step-by-step explanation:

Multiply: -4 and 5 which then equals [tex]-20x^5y^4x[/tex] X [tex]xy^7z^4[/tex]

Add Exponents: [tex]x^5+x1+x1[/tex] and then [tex]y^4+y^7[/tex]which finally equals to the answer, [tex]-20x^7y^{11} z^4[/tex]

Answer:

the answers are the first one and the third one.

A's slope is y = 5.75x + 3

B's slope is y = 5.5x + 4

here's the answer hope this helps :)

Answer:

D. x2 + 6x + 9

Step-by-step explanation:

For anyone who didn't understand the above answer^^

The Answer Is:

24

-Hope this helps!

Answer:

24 Dollars

Step-by-step explanation:

In order to figure out the total, we must multiply 42 times 4/7. We get a total of 24.

Answer:

0

Step-by-step explanation:

There is no x, therefore there is no slope.

Answer:

(2 x - 1) (x + 1) (x - 3)

Step-by-step explanation:

Factor the following:

2 x^3 - 5 x^2 - 4 x + 3

Hint: | Find all linear factors of 2 x^3 - 5 x^2 - 4 x + 3 via the rational root theorem. Do this by finding rational roots. The candidates are x = ± p/q for all p that are divisors of the constant term 3 and for all q that are divisors of the leading coefficient 2.

The possible rational roots of 2 x^3 - 5 x^2 - 4 x + 3 are x = ± 1/2, x = ± 3/2, x = ± 1, x = ± 3. Of these, x = 1/2, x = -1 and x = 3 are roots. This gives 2 x - 1, x + 1 and x - 3 as all factors:

Answer: (2 x - 1) (x + 1) (x - 3)

Answer:

Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept).

Step-by-step explanation:

Answer:

Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line.

Answer: Choice C) Undefined slope is when there is no vertical change

If you replace "vertical" with "horizontal", then choice C would be a true statement. All vertical lines have an undefined slope.

This is because the slope formula

m = (y2-y1)/(x2-x1)

has 0 in the denominator when you subtract the x coordinates. Dividing by zero is undefined. For any single vertical line, the x coordinates of any two points are the same. For instance, the vertical line through 4 on the x axis is the equation x = 4, and every point on this line has x coordinate 4.

Answer:

y = - 2(x + 4)² + 6

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (- 4, 6 ) , thus

y = a(x - (- 4) )² + 6 , that is

y = a(x + 4)² + 6

To find a substitute (- 2, - 2) into the equation

- 2 = a(- 2 + 4)² + 6 ( subtract 6 from both sides )

- 8 = a(2)² = 4a ( divide both sides by 4 )

- 2 = a , thus

y = - 2(x + 4)² + 6 ← equation in vertex form

Answer:

128/4 or 32

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

7-5(x+6)= -7x-17

Distribute

7 - 5x-30 = -7x-17

Combine like terms

-5x-23= -7x-17

Add 7x to each side

-5x-23+7x= -7x-17+7x

2x -23 = -17

Add 23 to each side

2x-23+23 = -17+23

2x= 6

Divide by 2

2x/2 = 6/2

x =3

Answer:

x = 3

Step-by-step explanation:

7 - 5(x + 6) = -7x - 17

~Simplify left side

7 - 5x - 30 = -7x - 17

~Combine like terms

-5x - 23 = -7x - 17

~Add 23 to both sides

-5x = -7x + 6

~Add 7x to both sides

2x = 6

~Divide 2 to both sides

x = 3

Best of Luck!

Answer:

0

Step-by-step explanation:

-(-x) ^3-x^3

x^3-x^3

=0

Answer:

Step-by-step explanation:

Six dice (each of a different color) are rolled. Since the number of times the 6 dice were rolled isn't stated, take it to be 1.

Hence, 6 dice are rolled at once for this experiment.

Of interest is the number of dice that show a "one". In other words, the variable in question (X) is:

The number of dots that show on the upward face of the rolled dice.

The values that X may take on are:

1  2  3  4  5  6

On average, how many dice would you expect to show a one?

One die.

How is this gotten? By finding the probability that a one or one dot appears when the 6 dice are rolled at once. Since there are 6 dice in number, and each die has the same 6 faces containing dots, the probability of getting a one is 1/6. In this case, one out of 6 dice is expected to show one dot.

Find the probability that all six dice show a dot in just one toss.

Logically, this probability is going to be very small! It is almost impossible for all 6 dice to land on the same face in just a single toss. In other words, expect many decimal places in the probability figure.

1/6 divided by 6  = 0.167/6  = 0.028 approximated to three decimal places.

This would also represent the probability that 2 dots, 3 dots, or any other number of dots appears on all dice in one toss!

Is it more likely (in this experiment) that 3 or 4 dice will show a one (a single dot)?

The answer is yes! It is more likely that 3 or 4 dice (instead of all 6) will show a one or will show the same number of dots.

Kudos!

Answer:

so the correct statement is;

The equation 2 ( 3 w − 6 ) + 2 w = 36 can be used to find the width of the rectangle, and the width is 6 feet

Step-by-step explanation:

Here, we want to select the statement which is true

Let the width be w

the length is 6 ft less than 3 times the width

The length will be (3w - 6) ft

Mathematically, the perimeter of a rectangle can be calculated using the formula;

2( l + b) = P

Thus;

2(3w -6 + w) = 36

divide both sides by 2

3w -6 + w = 36/2

3w -6 + w = 18

4w -6 = 18

4w = 18 + 6

4w = 24

w = 24/4

w = 6

Answer:

4

Step-by-step explanation:

Answer:

The slope of the line is y = -3x+4.