Find the equation of a parabola with a focus of (0, 9) and directrix y = –9.

Given

4

18

Procedure

The mean proportional, or geometric mean, of two positive The mean proportional, or geometric mean, of two positive

When solving

The answer would be 18

Answer:

0.26

Explanation

Given the expression

Cos 75°

According to the calculator

Cos 75° = 0.2588

Converting to the nearest hundredth

Cos 75 = 0.26

Hence the required answer is 0.26

Solution

- The two angles, <7 and <11 are supplementary. This implies that the line q is a transversal line upon which angles <7 and <11 are drawn.

- In order for line q to be the transversal and <7 and <7 to be supplementary, it implies that the lines r and s are parallel.

Final Answer

The answer is "r and s"

Zero Exponent Rule:

Thus, anything to the power of 0 is "1", except 0.

Let's simplify the expression shown:

Shavon is running faster by 0.33 meter.

From the information, Shavon and Jesiah are having a race and Shavon can run 100 meters in 30 seconds. The speed will be:

= Distance / Time

= 100 / 30

= 3.33 meter per second

Jesiah can run 120 meters in 40 seconds. The speed will be:

= Distance / Time

= 120 / 40

= 3 meters per second.

Shavon runs faster. This is illustrated as:

= 3.33 - 3

= 0.33 meter

She's 0.33 meters faster.

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The two ways to find solution of the expression (17-8) are by direct arithmetic method and indirect simplification method.

In arithmetic method, the first step is to determine whether the numbers are rational or irrational, so as to simplify the solution process. If numbers are rational, then they are checked for the sign determining their position on number line and then the calculations are performed. Here, 17 is positive rational number and -8 is negative rational number. Hence, 17-8 is equalized to 9. In indirect simplification method, the numbers to be subtracted are broken down to simpler terms which can be easily subtracted and reduced to get the answer. In the subtraction of 17-8, we break 8 in the form of (7+1). Then the expression becomes 17 - (7+1). Now, this expression can easily be solved to get the answer. Therefore, 17 - (7+1) = 10 - 1 = 9.

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Answer:

y = 1/3 x + 6

Explanation:

The slope of two parallel lines is the same; thereofre the equation of the line we are seeking looks like

where b is a constant hitherto unknown.

Now, we know from point (-3, 5) that when when x = -3, y = 5; therefore,

the above simplifies to

Hence, the equation of the line is

Answer: =111e3t(33cosh11−−√t+711−−√sinh11−−√t)

Step-by-step explanation:

Answer:

-490

Step-by-step explanation:

:]

Answer: Arithmetic

Step-by-step explanation: Because its decreasing at a constant rate of the same number 8

Take natural log on both side of the equation to simplify it,

S

Answer:

The correct option is 3.

Step-by-step explanation:

The parent cube root function is

From the given graph it is clear that the graph of f(x) is transformed by reflecting the graph of g(x) across y-axis and shifting two units down.

If the parent cube root function is reflected across the y-axis, then x is replaced by -x.

Now, the graph of new function sifts 1 unit down. So, the required function is

The graph shows the function .

From the given graph it is clear that the graph passes through the points (-8,1), (0,-1) and (8,-3).

Check the above function by these points.

At x=-8,

At x=0,

At x=8,

All these points satisfy by the abobe function. It means the above function is correct.

Therefore the correct option is 3.

Data

• Increase: 6% per month

• Current users: 21,740

• Users after 8 months: ?

Procedure

As we are increasing 6%, we have to multiply the original quantity, which represents the 100%, times 100% plus the increase (6%). However, this must be done in decimals:

Then, for the first month the user base will be:

Then, for the second month the user base will be:

The third month would be:

We could do this for eight months or we can take a shortcut:

where U represents the user, U0 is the initial users, i is the increase rate, and n is the number of months.

Replacing the data we have we get:

Answer: 34,650.26 users after 8 months with a 6% increase per month.

Answer:

x=2log(2)−3log(4)log(4)−log(2)

Step-by-step explanation:

I hope this matches one of your answers

The decimal form is -4

We have the explicit equatiion:

The 8th term is 78

y = 10 * 8 - 2

y = 80 - 2

We replaced x by 8

Therefore, for finding the 9th term, we calculate the value this way:

y = 10 * 9 - 2

y = 90 - 2

y = 88

The 9th term of the series is 88

The solution set for y = 4x-3 is {(2,5)} from the replacement set {(-3, 9), (-2, -11), (0, -2), (2,5)}.

The provided function is an equation of line in slope-intercept form of line.

According to which, if a line has slope m and it has the Y-intercept c, then the equation of line will be,

y = mx+c,

One thing to be noted here is, if the line passes through (a,b) then it will satisfy the equation and also, it will be called a solution of the equation.

The equation is y = 4x-3,

The given replacement sets is, {(-3, 9), (-2, -11), (0, -2), (2,5)}.

We will check for each and every element of the set,

1. For (-3,9)

Putting values in,

y = 4x-3

9 = 4(-3)-3

9 ≠ -15

Not a solution.

2. For (-2,11)

Putting values in,

y = 4x-3

11 = 4(-2)-3

11 ≠ -11

Not a solution.

3. For (0,-2)

Putting values in,

y = 4x-3

-2 = 4(0)-3

-2 ≠ -3

Not a solution.

4. For (2,5)

Putting values in,

y = 4x-3

5 = 4(2)-3

5 = 5

It is a solution for the equation y = 4x -3.

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Okay, here we have this:

Considering the provided figure, we are going to calculate the requested surface area, so we obtain the following:

Then we will substitute in the following formula:

Surface Area of Triangular Prism=(√3a^2)/2+3(a+h)

Replacing:

Surface Area of Triangular Prism=(√3*8^2)/2+3(8+6)

Surface Area of Triangular Prism=(√3*64)/2+3(14)

Surface Area of Triangular Prism=(√3*64)/2+42

Surface Area of Triangular Prism=(√3*32)+42

Surface Area of Triangular Prism=32√3+42

Surface Area of Triangular Prism=97 ft^2

Finally we obtain that the aproximately surface area is 97 ft^2.

Answer:

199FT

Step-by-step explanation:

I took the quiz

Answer:

h = -10

Step-by-step explanation:

-3(h+6) - 7 = 5

-3h - 18 - 7 = 5

-3h - 25 = 5

     +25    +25

-----------------------

-3h = 30

÷-3     ÷-3

-----------------------

h = -10

I hope this helps!

If the area of the rectangle is 800 square feet. Then the cost to tile the shaded area will be $3,512.

Let W be the rectangle's width and L its length.

The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be

Area of the rectangle = L × W square units

The area of the rectangle is given below.

A = 20 x 40

A = 800 square ft

Then the cost to tile the shaded area will be given as,

C = 4.39 x 800

C = $3,512

If the area of the rectangle is 800 square feet. Then the cost to tile the shaded area will be $3,512.

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The missing diagram is attached below.

Answer:

The instantaneous rate of change of the function at the given value is -2.

Explanation:

The instantaneous rate of change of the function at point x=a can be written as;

For the given function;

Then the derivative of the function is;

substituting x=0, we have;

Therefore, the instantaneous rate of change of the function at the given value is -2.

A word problem of the scenario is "twelve more than twice a number is greater than double the sum of the number and six"

It has no solution

The inequality expression is given as

2x + 12 > 2(x + 6)

To create the word problem, we represent the variable with a real world concept

Take for instance, we can set the variable to "a number"

So, the representation of x is "a number"

This means that the word problem can be:

Twelve more than twice a number is greater than double the sum of the number and six

In (a), we have

Twelve more than twice a number is greater than double the sum of the number and six

When represented as an inequality, we have

2x + 12 > 2(x + 6)

Open the bracket

2x + 12 > 2x + 12

Both sides of the inequality are the same and the inequality symbol is greater than

This means that the inequality has no solution

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The factors of the expression are 2.5 and 11/5.

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions. Similar to this, we are describing an algebraic expression when we explain an expression in words that has a variable (an expression with a variable). For instance, the algebraic expression for "3 more than x" can be written. x + 3.

Given Data

Elon writes an algebraic expression to represent the product of 10 and the difference of 5y and 1.

Algebraic expression:

The factors of the expression are:

10 = 5y -1

11 = 5y

y = 11/5

y = 2.5

The factors of the expression are 2.5 and 11/5.

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we have

then, we use the trigonometric tangent identity:

answer: x = 47.2

Use the order of operations and the distributive property to solve this expression. Work starting from the parenthesis.

8(12 + 3) = 120
8(15) = 120
120 = 120

The equation is true.

Answer:

True because you must do parentheses first so 12+3=15x8=120 so it is equivalent

(i) –2.7, –9, –30, –100, ... case of a geometric sequence

(ii) –1, 2.5, –6.25, 15.625, ... case of a geometric sequence

(iii) 9.1, 9.2, 9.3, 9.4, ... not a case of a geometric sequence

(iv) 8, 0.8, 0.08, 0.008, ... case of a geometric sequence

(v) 4, –4, –12, –20, .. not a case of a geometric sequence

What is a geometric sequence?

A geometric sequence is one in which the ratio of two succeeding terms is fixed. The common ratio is what's known as this ratio.

Checking each sequence one by one right now.

(i) –2.7, –9, –30, –100, ...

r=(-9/2.7)=3.33

=(-30/9)=3.33

=(-100/9)=3.33

⇒This is a case of a geometric sequence

(ii) –1, 2.5, –6.25, 15.625, ...

r=(2.5/-1)=2.5

=(-6.25/2.5)=2.5

=(15.625/-6.25)= 2.5

⇒This is a case of a geometric sequence

(iii) 9.1, 9.2, 9.3, 9.4, ...

since the ratio between terms is not the same.

⇒This is not a case of a geometric sequence

(iv) 8, 0.8, 0.08, 0.008, ...

since the ratio between terms is the same.

⇒This is a case of a geometric sequence

(v) 4, –4, –12, –20, ..

since the ratio between terms is not the same.

⇒This is not a case of a geometric sequence

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Answer:

option 1,2,4,5 are correct answers

Step-by-step explanation:

We need to apply "Distributive Property" in order to get rid of the grouping symbols in the algebraic expression.

Such means to multiply 3 by each of the terms inside the parenthesis. That is:

3 times x and then 3 time 4:

3 times x remains as "3 x" since we don't know the value of "x", and 3 times 4 becomes 12:

3 (x+4) = 3 x + 12

Which seems to be the second option you listed.

The terms in the given expression are

The common factor in all the three time is

Take the common factor outside the brackets and write the remaining inside the brackets.