Given m//n, find the value of x
In
135*
M
x*
N

Answer:

[tex]\mathrm{Focus:\;\;} \left(-\frac{5}{3},\:2\right)[/tex]

[tex]\mathrm{Directrix:\;\;}x=-\frac{1}{3}[/tex]

Step-by-step explanation:

The standard equation for a parabola is

[tex]4p\left(x-h\right)=\left(y-k\right)^2[/tex]

with vertex at (h, k) and a focal length of |p|

[tex]\mathrm{Rewrite}\:x=-\frac{3}{8}\left(y-2\right)^2-1\:\mathrm{in\:the\:standard\:form}[/tex]:

[tex]\mathrm{Add\:}1\mathrm{\:to\:both\:sides}[/tex]

[tex]x+1=-\frac{3}{8}\left(y-2\right)^2-1+1[/tex] or

[tex]x+1=-\frac{3}{8}\left(y-2\right)^2[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-\frac{3}{8}[/tex]
[tex]\frac{x+1}{-\frac{3}{8}}=\frac{-\frac{3}{8}\left(y-2\right)^2}{-\frac{3}{8}}[/tex]

[tex]\mathrm{Simplify}[/tex]
[tex]-\frac{8x}{3}-\frac{8}{3}=\left(y-2\right)^2[/tex]

[tex]\mathrm{Factor\:}-\frac{8}{3}[/tex]
[tex]\left(-\frac{8}{3}\right)\left(x+\frac{-\frac{8}{3}}{-\frac{8}{3}}\right)=\left(y-2\right)^2[/tex]

[tex]\mathrm{Simplify}[/tex]
[tex]\left(-\frac{8}{3}\right)\left(x+1\right)=\left(y-2\right)^2[/tex]

[tex]\mathrm{Factor\:}4[/tex]
[tex]4\cdot \frac{-\frac{8}{3}}{4}\left(x+1\right)=\left(y-2\right)^2[/tex]

[tex]\mathrm{Simplify}[/tex]
[tex]4\left(-\frac{2}{3}\right)\left(x+1\right)=\left(y-2\right)^2[/tex]

[tex]\mathrm{We\; can\; rewrite\:this\;as}[/tex]
[tex]4\left(-\frac{2}{3}\right)\left(x-\left(-1\right)\right)=\left(y-2\right)^2[/tex]

Comparing this with the standard form we get
[tex]\left(h,\:k\right)=\left(-1,\:2\right)[/tex]
[tex]\:p=-\frac{2}{3}[/tex]

The parabola is symmetric around the x-axis.

The focus lies a distance [tex]p[/tex] from the center [tex]\left(-1,\:2\right)[/tex] along the x axis

So focus is at
[tex]\left(-1+p,\:2\right)[/tex] [tex]=\left(-1+\left(-\frac{2}{3}\right),\:2\right)[/tex] [tex]=\bold{ \left(-\frac{5}{3},\:2\right)}[/tex]

The parabola is symmetric around the x-axis and so the directrix is a line parallel to the y-axis at a distance -p from the center

[tex]x=-1-p[/tex]

[tex]x=-1-\left(-\frac{2}{3}\right) = \bold{-\frac{1}{3}}[/tex]

6x² is the total area, in square feet, covered by the wood panels.

What is area?

So based on this, we can say that The expression to represent the total area, in square feet,

So, the wood panels is to be considered as the 6 ×  x² = 6x²

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[tex]\angle DAE \cong \angle DCF[/tex]

by CPCTC.

Answer:

ksjsbs jsioeie jsisjbdbd

Step-by-step explanation:

Answer:

Step-by-step explanation:

For f (x):

f (x) = (x + 3) ^ 2 - 2

For x = -1

f (-1) = (-1 + 3) ^ 2 - 2

f (-1) = (2) ^ 2 - 2

f (-1) = 4 - 2

f (-1) = 2

For x = 3

f (3) = (3 + 3) ^ 2 - 2

f (3) = (6) ^ 2 - 2

f (3) = 36 - 2

f (3) = 34

AVR = ((34) - (2)) / ((3) - (- 1))

AVR = 8

For g (x):

linear graph with and intercept of negative 3 over 2 and x intercept of 3

y = mx + b

b = -3/2

For me we have:

0 = m (3) - 3/2

3m = 3/2

m = 1/2

The function g (x) is:

g (x) = (1/2) x - 3/2

For x = -1

g (-1) = (1/2) (- 1) - 3/2

g (-1) = -1/2 - 3/2

g (-1) = -4/2

g (-1) = -2

For x = 3

g (3) = (1/2) (3) - 3/2

g (3) = 3/2 - 3/2

g (3) = 0

AVR = ((0) - (- 2)) / ((3) - (- 1))

AVR = 1/2

For h (x):

Using the table we have:

AVR = ((62) - (14)) / ((3) - (- 1))

AVR = 12

Answer:

Geometric.

Step-by-step explanation:

For example

2, 4, 8, 16

where the common ratio is 4/2 = 8/4 = 16/8 = 2.

Answer:

184-70

=114

114/9.5

=12

Step-by-step explanation:

1. Needed points is 184 and rewards points was 70

2. So he need extra 114 points for free movie ticket

3. 114 divide by 9.5 which is earn piont for every time he buy ticket

The equation 70 + 9.5x = 184 represents the situation and the number of visits is 12 if Marques has a points card for a movie theater.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Marques has a points card for a movie theater. • He receives 70 rewards points just for signing up

Let x be the number of visits.

The linear equation can be framed as follows:

70 + 9.5x = 184

9.5x = 184 - 70

After solving the above linear equation in one variable:

9.5x = 114

x  = 12

Thus, the equation 70 + 9.5x = 184 represents the situation and the number of visits is 12 if Marques has a points card for a movie theater.

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Answer: Total number of employees are employed by the store = 15 employees.

Step-by-step explanation:

The ratio of Full time employees to Not Full time employees would be 1 to 4.

Let, Full time employees F =1      

Not Full time employees N =4

We can write:

                                F/N = ¼

Cross multiply to get:

                                 N=4F

If 5 more Full time employees were hired, then the ratio would be 2 to 3.

This would be mean there are no (F+5) Full time employees.

Also there are still Not Full time employees.

We can write:

                             (F+5) / N = 2/3

Cross multiply to get:

                              3(F+5) =2N

Expand to get:

                               3F+15=2N

Replace N with 4F to get:      

                               3F+15=2(4F)

Solve to get:

                              3F+15=8F

                              15=8F-3F

                              15=5F

                                F=3

So, there are presently 3 Full time employees.

How many employees does the store have?

Since           F=3,

we can use the equation N=4F

To help find the value of N Replace F with 3 to get:

                              N = 4(3)

Solve to get:

                               N=12

So, Full time employees F=3    

Not Full time employees N=12

Then, Total number of employees = F+N

                                                         = 3+12

                                                         = 15.

Hence, Total number of employees = 15 employees.

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Answer:

it shows that the answer is (-2,8(

the brackets are the symbols of inequality

Answer:

2 [tex]\frac{1}{10}[/tex]

Step-by-step explanation:

.10

change it to 10/100

reduce by 10

1/10

Answer: 2 1/10

Step-by-step explanation:

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is 1 number to the right of the decimal point, place the decimal number over 10^1(10). Next, add the whole number to the left of the decimal.

2 1/10

A 25% rate of interest is required for Rupees 4000 amount to Rupees 6000 in 2 years.

Here we are given the following-

Principal amount = Rs 4000

Amount received after 2 years = Rs 6000

Time period = 2 years

Let the rate of interest = r%

Then, according to the simple interest formula-

Simple interest = Principal × time period × rate/100

and Simple interest = Final amount - principal amount

Here, simple interest = 6000 - 4000 = Rs 2000

Thus,

2000 = 4000 × 2 × r/100

2000/4000 = 2 × r/100

1/2 = 2 × r/100

1/4 = r/100

r = 100/4

r = 25

Thus, the rate of interest is 25%.

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Answer: He can play 6 games

Step-by-step explanation:

40-10 = 30

30- 12 = 18

18- 8.50 = 9.50

9.50 divided by 1.50 = 6.3

The difference between the highest recorded temperature on Earth of 134 degrees Fahrenheit and the lowest recorded temperature of -128.6 is equal to 262.6 degrees Fahrenheit.

In mathematics, the difference can be described as the result of the subtraction of one numeral or value to another.

Hence the difference between the highest recorded temperature and the lowest recorded temperature on Earth can be found by the subtraction of the highest and lowest recorded temperatures.

The difference in the two temperatures = highest recorded temperature - lowest recorded temperature

Difference in Farenheit = 134 - ( -128.6)

Difference in Farenheit  = 134 + 128.6

Difference in Farenheit  = 262.6

Hence, the difference between the highest recorded temperature and the lowest recorded temperature is calculated to be 262.6 degrees fahrenheit.

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a) 3 - 8 + 2i - (-5i) = -5 + 2i +5i = -5 + 7i

b) 4 - 20i - 2i + 10i² = 4 - 22i + 10([tex]\sqrt{-1}[/tex])² = 4 - 22i + 10(-1) = 4 - 10 -22i

= -6 -22i

c) Multiply both numerator and denominator by i

[tex]\frac{i(-2-4i)}{i^{2} }[/tex] = [tex]\frac{-2i - 4i^{2} }{i^{2} }[/tex] = [tex]\frac{-2i - 4(\sqrt{-1})^{2} }{(\sqrt{-1})^{2}}[/tex] = [tex]\frac{-2i - 4(-1)}{-1}[/tex] = [tex]\frac{-2i+4}{-1}[/tex] = 2i - 4 = -4 + 2i

d) Multiply both numerator and denominator by (3+6i)

[tex]\frac{(3+6i)(-3+2i)}{(3+6i)(3-6i)}[/tex] = [tex]\frac{-9+6i-18i+12i^{2} }{9-36i^{2} }[/tex] = [tex]\frac{-9-12i+12(\sqrt{-1} )^{2} }{9-36(\sqrt{-1} )^{2} }[/tex] = [tex]\frac{-9-12i+12(-1)}{9-36(-1)}[/tex] = [tex]\frac{-9-12-12i}{9+36}[/tex]

= [tex]\frac{-21-12i}{45}[/tex] = [tex]-\frac{21}{45} - \frac{12}{45}i[/tex]

Answer:

102500

Step-by-step explanation:

The result can be shown in multiple forms.

Scientific Notation:

1.025

10

5

Expanded Form:

102500

Answer:b. the salt and sugar will disappear and the oil will float on the surface of water

Step-by-step explanation: If you stir salt and sugar it will dissapear but oil in thick and if you know it will float to the surface

Hence , on solving the given expression , we get values of h(1) = 58/35 ,    h(2) = 86 /35 and  h(-1/2) =26 /35.

We have given an expression h(x)=-4/5x+6/7 .

Putting x = 1 in h(x) , we get

   h(1) = 4/5(1) +6/7

          = 4/5 +6/7

          = 28 + 30 /35

          = 58 /35

Putting x = 2 in h(x) , we get          

   h(2) = 4/5(2) +6/7

          = 8/5 + 6/7

          = 56 + 30 /35

          = 86 /35

Putting x = -1/2 in h(x) , we get      

  h(-1/2) =  4/5(-1/2) +6/7

             = -2/5 + 6/7

             = -14 + 30 /35

             = 26 /35

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Answer:

525

Step-by-step explanation:

f(x)=(x)(2x+5)

f(x)=2x^2+5x

f(15)=2*(15)^2 + 5*15

= 2*225 + 75

=450 + 75

=525

The difference in the elevation between the canyon and the bird's nest is 737. 3 feet

From the information given, we have that;

Let's convert the mixed fractions to improper fraction;

= - 263/ 5 = - 52. 6 feet

789 3/ 10 = 7893/ 10 = 789. 3 feet

The difference in the elevation between the canyon and the bird's nest ;

= -52. 6 + 789. 9

= 737. 3 feet

Thus, the difference in the elevation between the canyon and the bird's nest is 737. 3 feet

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b r = 17 - b

when it is 8 inches tall after 9 inches have burned from the candle.

A formula in mathematics is an assertion of a fact, rule, or principle using mathematical symbols. Equations, equalities, identities, inequalities, and asymptotic expressions are a few examples of formulae.

In the theory of logic, the word "formula" is also frequently used to refer to a sentential formula, also known as a propositional formula, or a formula in propositional calculus.

A 17 inch candle is lit and steadily burns until it is burned out.

Let b represent the burned length of the candle (in inches ) and let r represent the remaining length of the candle (in inches) .

Write a formula that expresses r in terms of b r = 17 - b  

Preview b. When 6.8 inches have burned from the candle, the remaining length of the candle is 10.2 inches.

Therefore the point should be on the graph of r in terms of b. c. On the graph below:

i, represent the linear relationship between l and b ii. plot the point that represents the candle when it is 8 inches tall after 9 inches have burned from the candle.

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Answer:

A. y is more than are equal to 1

Step-by-step explanation:

range is y, lowest point is 1, highest is all real numbers, so range is anything more than 1

Answer:

B. y <= 1

Step-by-step explanation:

Because the function touches the point 1 on the y-line of the graph and goes upward into infinity, all values of y will be greater than or equal to one.

Answer is 32.5 because the other ones isnt it

The average rate of change for the function will be 234.

It is the average amount by which the function is modified per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph that represents the function. The average rate of change of the function is given as,

Average rate = [f(x₂) - f(x₁)] / [x₂ - x₁]

The function is given below.

f(x) = 3ˣ + 17

The value of the function at x = 3 will be

f(x) = 3³ + 17

f(x) = 27 + 17

f(x) = 44

The value of the function at x = 6 will be

f(x) = 3⁶ + 17

f(x) = 729 + 17

f(x) = 746

Then the average rate of change for the function will be

Average rate = [746 - 44] / [6 - 3]

Average rate = 702 / 3

Average rate = 234

The average rate of change for the function will be 234.

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Answer:

2b² + 2b

Step-by-step explanation:

b + 3b² + b - b²

= 3b² - b² + b + b

= 2b² + 2b

Answer:

[tex] \sf \: {2b}^{2} + 2b [/tex]

Step-by-step explanation:

Given expression,

→ b + 3b² + b - b²

Let's simplify the expression,

→ b + 3b² + b - b²

→ (3b² - b²) + (b + b)

→ (2b²) + (2b)

→ 2b² + 2b

→ 2b(b + 1)

Hence, answer is 2b² + 2b.

The vector that represents the resultant velocity of the plane will be V = 30.72 i + 135.89 j + 53.46 k.

The quantity which has magnitude, and direction, and follows the law of vector addition is called a vector.

An airplane is taking off headed due north with an air speed of 173 miles per hour at an angle of 18° relative to the horizontal. The wind is blowing with a velocity of 42 miles per hour at an angle of  S 47° E.

Let north be the y-axis and east be the x-axis. Then the vector equation will be given as,

V = (42 sin 47°) i + (173 cos 18° - 42 cos 47°) j + (173 sin 18°) k

V = 30.72 i + 135.89 j + 53.46 k

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Answer:

-6a - 48

The distributive property states that for an expression a(b + c), it can be evaluated to ab + ac.

To distribute, expand the algebraic expression using the aforementioned policy.

[tex]-6(a+8)[/tex]

Multiply a and b together.

[tex]-6\times a=-6a[/tex]

Then, multiply a and c together.

[tex]-6\times8=-48[/tex]

Finally, add the two values together.

[tex]-6a+(-48)=-6a-48[/tex]

[tex]\boxed{\bold{-6a-48}}[/tex]

Hey there!

Distributive Property formula:

a(b + c)

= a(b) + a(c)

= a * b + a * c

= ab + ac

Your equation: -6(a + 8)

Solving:

-6(a + 8)

= -6(a) - 6(8)

= -6 * a - 6 * 8

= -6a - 48

Therefore, your answer should be:

-6a - 48

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The objective observations are so important to science because they are helpful in removing bias.

Objective observations are simply the direct observation recorded by an observer. It does not contain any personal interpretation by the observer. So it can be considered as a bias less observation.

In a scientific study, objective observations are equal to facts. An objective observer will not have a predetermined mind. So that observation will not contain prejudice. That is why it is not biased. So an objective observation helps in removing bias. So they are important in Science.

The opposite of objective observation is subjective observation. In a subjective observation, there is a chance of personal interpretations.

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At 0.6% per year compound interest. Brian will get 6841.19 after 6 years.

The interest earned on savings that is computed using both the original principle and the interest accrued over time is known as compound interest.

It is said that Italy in the 17th century is where the concept of "interest on interest" or compound interest first appeared. It will accelerate the growth of a total more quickly than simple interest, which is solely computed on the principal sum.

Money multiplies more quickly thanks to compounding, and the more compounding periods there are, the higher the compound interest will be.

Based on the given conditions, formulate: 6600×(0.6%+1) 6

Evaluate the equation/expression: 6841.19264

Round the number: 6841.19

Answer: 6841.19

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