What is the slope of a line that is perpendicular to the line represented by the equation x – y = 8?

volume of a circular spa : v = πr²h

v= 3.14 x 6 x 6 x 3.5 = 395.64

The volume of a cylinder is equal to the product of the area of the circular base and the height of the cylinder. The volume of a cylinder is measured in cubic units.

To the formula for finding the area of a circle, A = πr2.[6] Just plug the radius you found into the equation. Here's how to do it:

A = π x 12

A = π x 1

A = π

Since π is normally rounded to 3.14, you can say that the area of the circular base is 3.14 in.2

To learn more about the volume of  cylinder, refer

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Answer:

see explanation

Step-by-step explanation:

Given

2x² + 7x = 15 ( subtract 15 from both sides )

2x² + 7x - 15 = 0 ← in standard form

To factorise the left side

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 2 × - 15 = - 30 and sum = + 7

The factors are + 10 and - 3

Use these factors to split the x- term

2x² + 10x - 3x - 15 ( factor the first/second and third/fourth terms )

2x(x + 5) - 3(x + 5) ← factor out (x + 5) from each term

(x + 5)(2x - 3) ← in factored form

Answer:

$3.80

Step-by-step explanation:

We are given a graph showing the location of 3 houses where you had to do lawn work today, with the distances from your house.

Given that one truck gets 8 miles per gallon of gasoline and gas costs $1.52 per gallon, we are to find the total cost of the gas used.

Total distance = 7 + 3 + 4 + 6 = 20 miles

Gallons of gas used = 20 / 8 = 2.5

Total cost of gas used = 2.5 * 1.52 = $3.80

Answer:

$15.45 (Answer F)

Step-by-step explanation:

Total expenditure was ($1.75/lb)(4.2 lb) + ($2.25/lb)(3.6 lb) = $15.45

Because line BD goes through the center of the circle Angle A is a right angle which equals 90 degrees.

Set the equation for A to equal 90 and solve for x:

3x-6 = 90

Add 6 to each side:

3x = 96

Divide both sides by 3:

x = 32

Now we have a value for x , use that to solve for angle b:

B = x +9 = 32 + 9 = 41 degrees.

Now we know A and B, we can solve for D.

The three inside angles of a triangle need to equal 180.

D = 180 - 90 - 41 = 49 degrees.

The answer is D) 49

Answer:

subtract 3 from both sides

Step-by-step explanation:

Given

2x + 3 = 11 ( subtract 3 from both sides )

2x = 8 ( divide both sides by 2 )

x = 4

Answer:

3 - [tex]\sqrt{11}[/tex]

Step-by-step explanation:

Radical roots occur in conjugate pairs.

3 + [tex]\sqrt{11}[/tex] is a root then so is 3 - [tex]\sqrt{11}[/tex]

Answer:

[tex]3-\sqrt{11}[/tex]

Step-by-step explanation:

The function [tex]f(x)[/tex] has a grade of 4, becaus it has 4 roots.

Now, if one of its roots is [tex]3+\sqrt{11}[/tex], it means there fourth is [tex]3-\sqrt{11}[/tex], because square roots have two results, one positive and one negative.

So, the function cannot have a positive square root solution and not have a negative root solution.

Therefore, the right answer is [tex]3-\sqrt{11}[/tex].

Answer:

Step-by-step explanation: The most important step to do is to simplify the equations down. We do this by finding common variables.

Common Variables are pairs such as 12x and 32x, and not 12x and 32y or 12 and 32.

1. [tex]12 -3y - 2x + x + 2x = 12 - 3y + x[/tex]

2. [tex]3x + 2y - 2x + y + 12 = 12 + 3y + x[/tex]

3. [tex]x + 3y + 2x - 3x + 7 + 5 = 12 + 3y[/tex]

4. [tex]12+ 3y[/tex] cannot be simplified any further.

5. [tex]12-3y+x[/tex] cannot be simplified any further.

6. [tex]5 + 2y + 7x - 4x + 3y - 17 = -12 + 5y + 3x[/tex]

7. [tex]4y + 3y + 3x - 6y - 10 - 2= -12+3x+y[/tex]

8. [tex]-12 +  3x + y[/tex] cannot be simplified any further.

9. [tex]12+ 3y + x[/tex] cannot be simplified any further.

Now, we start to match the equations.

Equation 1 is the same as Equation 5

Equation 2 is the same as Equation 9

Equation 3 is the same as Equation 4

Equation 6 is the same as none of them.

Equation 7 is the same as Equation 8.

And there you are have it!

Answer:

An imaginary number is a number that does not exist pretty much. It is usually written as "i", and, when squared = -1. However, you cannot root -1 to get a number, so i is the term that is given to be the answer.

Note:

i² = -1

~

Answer: %150

Step-by-step explanation:

Percent increase = New Value - original value/ original value * 100

15 - 6/6 * 100

9/6 * 100

1.5 * 100

150

Answer:

last choice

Step-by-step explanation:

So the y-intercept is -2 and the slope is -2/3

The only choices I'm going to look at is first and last because they go through -2 on y-axis.

Now -2/3 is the slope that means the graph should be going down reading it left to right so the last choice,

Answer:

D. 21

Step-by-step explanation:

Hope I helped!

Your answer is for this question is 21

1.) To find 70% percent of 30 you simply multiply both. To do that you gotta first change the percent into a decimal by moving the point two types to the left.

70 = 70.0

2.) As you can see we change the percent into a decimal.

70% = .70

3.) Now we can multiply 30 by .70 which will give us an answer of 21.

Hope this helps!!!

Please Mark as Brainliest!!!

Answer:

215.6 m²

Step-by-step explanation:

The area (A) of a regular polygon is

A = [tex]\frac{1}{2}[/tex] perimeter × apothem

perimeter = 7 × 7.7 = 53.9 m, hence

A = 0.5 × 53.9 × 8 = 215.6 m²

Answer:

215.6 meters squared

Step-by-step explanation:

1 pound

Step-by-step explanation:

15+10=25

25÷6=24.1

Answer:

Yes, this is a good statistical question because a variety of answers are given.

Step-by-step explanation:

A question can be called a good statistical question because of the variety of the answers it can bring to data. The answers to the same question will be different for different people.

Hence,

Yes, this is a good statistical question because a variety of answers are given ..

Answer:

C

Step-by-step explanation:

Did Unit Test Review B)

Answer:

C

Step-by-step explanation:

Given the similarity ratio, then the

linear ratio of sides = linear ratio of perimeters.

Hence

ratio of perimeters = [tex]\frac{9}{4}[/tex]

Answer:

no

Step-by-step explanation:

The sum of the angles of a triangle must add to 180 degrees

115+55+20 = 190

This is not equal to 180 so it is not a triangle.

Answer:

No

Step-by-step explanation:

115°,55°, and 20° = 190° degrees and a triangle can only be 180° .

Answer:

a) -5/2.

Step-by-step explanation:

Try substituting (-5/2) into f(x):

6(-5/2)^4 + 5(-5/2)^3 - 33(-5/2)^2 - 12(-5/2) + 20

= 234.375 + -78.125 - 206.25 + 30 + 20

= 0.

So it is -5/2.

Answer:

a) [tex]x= -5/2[/tex]

Step-by-step explanation:

We substitute in the function the values given in the options to confirm whether they are roots or not

a) [tex]x= -5/2[/tex]

the function will be:

[tex]f(-\frac{5}{2} )=6(-\frac{5}{2} )^4 + 5(-\frac{5}{2} )^3-33(-\frac{5}{2} )^2-12(-\frac{5}{2})+20[/tex]

simplifying:

[tex]f(-\frac{5}{2} )=6(\frac{625}{16} )-5(\frac{125}{8} )-33(\frac{25}{4} )+30+20[/tex]

[tex]f(-\frac{5}{2} )=234.375-78.125-206.25+50\\f(-\frac{5}{2} )=0\\\\[/tex]

since the function when [tex]x= -5/2[/tex] is equal to zero, this is an actual root of f(x).

The equation which is correct for the given function is:

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

By looking at the graph we observe that the graph of the function passes through the point (-4,0) , (-2,0)  , (-3,-2)

A)

         [tex]y=(x+4)(x+2)[/tex]

when x= -3 we have:

[tex]y=(-3+4)(-3+2)\\\\y=1\times (-1)\\\\y=-1\neq -2[/tex]

Hence, option: A is incorrect.

B)

     [tex]y=x^2+3x-2[/tex]

when x= -2 we have:

[tex]y=(-2)^2+3\times (-2)-2\\\\y=4-6-2\\\\y=-4\neq 0[/tex]

Hence, option: B is incorrect.

C)

    [tex]y+2=-2(x+3)^2[/tex]

when x= -2 we have:

[tex]y+2=-2(-2+3)^2\\\\y+2=-2[/tex]

[tex]y=-4\neq 0[/tex]

Hence, option: C is incorrect.

D)

   [tex]y+2=2(x+3)^2[/tex]

We see that the graph of this equation matches the given graph of the function.

Answer:

D. y + 2 = 2(x+3)^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the first number = x

Let the second number = y

x + y = 24

7x - y = 16                     Add these two equations      

8x = 40                          Divide by 8

8x/8 = 40/8

x = 5

The smaller number will be 5

================

5 + y = 24

y = 19

==================

Proof

7*5 - 19 = 16

35 - 19 = 16

Answer:

x | y

-2| -4

-1 | -2

0 |0

1  | 2

2 | 4

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

We know that the general formula for arithmetic sequence is  

a_n=a_0+(n-1)d

Using the general formula, we can make equations for 6th term and 9th term

a_6=a_0+(6-1)d

a_6=a_0+5d

101=a_0+5d Eqn 1

For 9th term

a_9=a_0+(9-1)d

a_9=a_0+8d

83=a_0+5d   Eqn 2

Subtracting equation 2 from equation 1

101-83=a_0+5d-(a_0+8d)

18=a_0+5d-a_0-8d  

18=-3d

d= -6

Putting d=-6 in Eqn 1, we get:

101=a_0+5(-6)

101=a_0-30

a_0=101+30

a_0=131

Now that we have values of a_0, and d we can find the 17th term

a_17=a_0+(17-1)d

=131+(16)(-6)

=131-96

=35

So the 17th term is 35 ..

Answer:

The correct answer option is E) No solution.

Step-by-step explanation:

We are given the following quadratic equation which we are to solve for x when the value of y is 0:

[tex]y = x ^2+ 6x +12[/tex]

[tex]x ^2+ 6x +12=0[/tex]

Using the quadratic formula since there are no factors:

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

Substituting the values in the formula to get:

[tex]x=\frac{-6 \pm \sqrt{6^2-4(1)(12) }}{2(1)}[/tex]

[tex]x=-3+\sqrt{3}i[/tex] or [tex]x=-3-\sqrt{3}i[/tex]

There are no real number solutions to this quadratic equation.

Answer:

no it is not a function

Step-by-step explanation:

it has no sequence and in order for a table to be a function it needs a sequence. look at X it goes from 1, 5, 7, then back down to 2 it has no correlation.

Answer:

no its not a function and ill explain why

Step-by-step explanation:

it has no sequenceand in order for a table to be a functionit needs a sequence. look at Xit goes from 1, 5, 7, then back down to 2 it has no correlation.

Answer:

see explanation

Step-by-step explanation:

Given

f(x) = [tex]e^{2x}[/tex] - 4

let f(x) = y

y = [tex]e^{2x}[/tex] - 4

Switch x and y and solve for y, that is

x = [tex]e^{2y}[/tex] - 4 ( add 4 to both sides )

x + 4 = [tex]e^{2y}[/tex]

Take the ln of both sides

ln(x + 4) = ln [tex]e^{2y}[/tex] = 2y [tex]ln_{e}[/tex] = 2y

Divide both sides by 2

y = [tex]\frac{ln(x+4)}{2}[/tex], that is

[tex]f^{-1}[/tex] (x) = [tex]\frac{ln(x+4)}{2}[/tex]

Answer:

1 ticket equals to $2.50. Since x number of tickets are sold, the total amount raised will be $2.50 multiply by x, which is 2.5x. Since y represents the total amount of money raised, 2.5x equals to y

Hi,

x - 3 = 7

x = 7 + 3

x = 10

Answer:

B) 8 over 35 plus 8 over 35 equal 64 over 1225

Step-by-step explanation:

There are 8 yellow tiles out of 35 tiles.

Its not A because she replaces.

Its not C or D because you would only add when it says and

Answer:

8 over 35 multiplied by 8 over 35 equal 64 over 1225

Step-by-step explanation:

I got it right on my test. Give the other person brainliest.