Determine the scale factor

LMNO Became HIJK

The focus and directrix of the parabola are (–0.25, 0) and x = 0.25. Then the correct option is A.

It is the locus of a point that moves so that it is always the same distance from a non-movable point and a given line. The non-movable point is called focus and the non-movable line is called the directrix.

A parabola can be represented by the equation y² = – x.

The coordinates of the focus and the equation of the directrix will be given as

We know that the standard equation of the parabola y² = – 4ax.

On comparing, we have

a = 1/4 = 0.25

The focus of the parabola is at (–a, 0) that is (–0.25, 0).

The directrix of the parabola will be given as

y = a

x = 0.25

More about the parabola link is given below.

https://brainly.com/question/8495504

Answer:

A. focus: (negative one-fourth, 0); directrix: x = One-fourth

Step-by-step explanation:

i did it

Answer:

45 fluid ounces

Step-by-step explanation:

Weight will be more accurate and consistent

To think of it simply, you may not always fill a measuring cup completely to the top and never spill out of it, weight is a given, cup measurements turn into a very close measurement that isn't 100% exact

Step-by-step explanation:

the slope intercept form is

y = ax + b

"a" being the slope, "b" being the y- intercept (which is the y-value when x = 0).

the slope here :

in the table x is always increasing by 2.

and y is always investing by 1.

so, the slope is 1/2

the y-intercept :

we need to find the y-value for x = 0.

but we don't have a data point with x = 0 in the table.

so, we have to extend the structure of the table to the left.

x decreases by 2 (making it 0), and y decreases by 1 (making it -1).

therefore, the y- intercept (b) is -1.

and the line equation is

y = (1/2)x - 1

not sure about "the other method".

there is the point-slope form of the equation :

y - y1 = a(x - x1)

again with "a" begin the slope, and (x1, y1) being a point on the line.

if we get the y-intercept in the table, then this point is (0, y1).

and the equation would be

y - y1 = ax

in our case

y + 1 = (1/2)x

and another method ?

sometimes people write

nx + my = c

in our case starting with the original equation

y = (1/2)x - 1

2y = x - 2

-x + 2y = -2

x - 2y = 2

Answer:

3pm

Step-by-step explanation:

so for this you want to work backwards, starting at 7:30pm because that's when they have dinner.

how i would solve this is I would add up all the amount of time they want to tour around San francisco

so 45 + 1hr15mins = 2hrs

2hrs +2hrs30mins= 4hrs30mins

so starting at 7:30 take away 4hrs 30mins

7:30 - 4hrs = 3:30pm

3:30 - 30 minutes = 3pm

They must start their tour at 3pm.

hope that helps :)

Answer:

The latest time Sue's family can start their tour but still make it home for dinner would be:
3:00 p.m

Step-by-step explanation:

Starting at 7:30pm because that's when they have dinner:
45min. + 1hr & 15mins = 2hours

2hours + 2hours & 30mins= 4hours & 30mins

Starting at 7:30 take away 4hrs 30mins:

7:30p.m - 4hrs = 3:30p.m

3:30 - 30 minutes = 3:00p.m

In conclusion, they must start their tour at 3:00 p.m to be able to reach dinner by 7:30 p.m (which is the latest time).




Have a great rest of your day
#TheWizzer

Answer:

  28 and 32

Step-by-step explanation:

The product indicated in your problem statement is ...

  (30 -2)(30 +2)

  = 28 × 32

The two numbers are 28 and 32.

__

The equivalent (30^2 -2^2) means that product is 900 -4 = 896.

Answer:

1 13/20

Step-by-step explanation:

5 1/2 ÷ 3 1/3

11/2 ÷ 10/3
11/2 x 3/10 = 33/20

33/20 = 1 13/20

Hope this helps :)

Answer:

17/62 = 0.27419

Step-by-step explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

Answer:

1 theater room holds 115 people, it says that each showing was filled so that means that there were 115 for every 1 showing. There were 16 showings, so you multiply 115 x 16 which equals to 1,840 people.

Answer:Rewrite the cartesian equation as a polar equation.

Rewrite the cartesian equation as a polar equation.r

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Rewrite the cartesian equation as a polar equation.r2cos

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Rewrite the cartesian equation as a polar equation.r2cos2(θ

Rewrite the cartesian equation as a polar equation.r2cos2(θ)

Rewrite the cartesian equation as a polar equation.r2cos2(θ)−

Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6

Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6r

Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos

Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(

Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ

Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)

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Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−r

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Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−rsin(θ)

Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−rsin(θ)=

Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−rsin(θ)=−

Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−rsin(θ)=−9

Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−rsin(θ)=−9Tap to view steps...

The quadratic function which is represented by the graph of a Parabola fails the Horizontal Line Test thus is not a one to one function. Therefore the inverse is not a function unless with restricted domain.

Edit: Adding the solution below to address update in the comments:

y

=

(

x

+

3

)

2

x

=

(

y

+

3

)

2

±

√

x

=

y

+

3

y

=

−

3

±

√

x

=> inverse relation

Restricting the domain: Recall that the domain and the range of the inverse function are the range and the domain of the original function respectively. The range of the original function in this case is

y

≥

0

, that should be the domain of the inverse function so for the inverse function we take the positive square root as follow:

f

−

1

(

x

)

=

−

3

+

√

x

=> this is the inverse function the domain and the range are:

domain:

x

≥

0

range:

y

≥

−

3

This means we need to restrict the domain of the original function to:

x

≥

−

3

in order for it to have an inverse function.

Answer:

hi, I'm glad to help! 185

Step-by-step explanation:

11*7=77

11*6=66

6*7=42

77+66+42=185

Answer:

Hope the pictures will help. I have done what I knew

Step-by-step explanation:

in a function every valid values of x has exactly one assigned y value.

in an ordered pair the first number is x, the second number is y.

the y in (k, 0) is therefore 0.

and this y is different to all other y values in the relation.

therefore, k must be different to all other defined x values (otherwise it would give an x value a second y value, which would make this a not-function).

so, k must be an integer not out of {-9, 0, 2}

Answer:

the answer is 8 units

Step-by-step explanation:

The radius of a circle given by the equation [tex]\rm x^2+y^2-2x+8y-47=0[/tex] is 8 units.

It is given that the circle equation is given by  [tex]\rm x^2+y^2-2x+8y-47=0[/tex]

It is required to find the radius of the circle.

It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).

We circle the equation:

[tex]\rm x^2+y^2-2x+8y-47=0[/tex]

Converting this equation into the standard form of the circle:

[tex]\rm (x-a)^2+(y-b)^2=r^2[/tex]

[tex]\rm x^2+y^2-2x+8y-47=0[/tex]

[tex]\rm x^2+y^2-2x+8y-47+1-1+16-16=0[/tex]  (by adding and subtracting by                  

                                                                         1 and 16)

[tex]\rm x^2-2x+1+y^2+8y+16-1-16-47=0\\\\\rm (x-1)^2+(y-(-4))^2-64=0\\\\\rm (x-1)^2+(y-(-4))^2=64\\\\\rm (x-2)^2+(y-(-4))^2=8^2 \\\\[/tex]

By comparing with the standard circle equation, we get:

r = 8

Thus, the radius of a circle given by the equation [tex]\rm x^2+y^2-2x+8y-47=0[/tex]  is 8 units

Learn more about circle here:

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Answer:

82

Step-by-step explanation:

The sum of his previous grades were 308. In order to get an average grade of 78, he needs to have a score of 78*5 or 390. His necessary grade minus his current grade is 390 - 308, which is 82. The minimum score the student needs to get on his test in order to have an average of 78 is 82

Answer:

82.

Step-by-step explanation:

The sum of the 5 tests must be 5*78 = 390 for the average to be 78.

So in the last test is grade must be 390 - (83+81+70+74)

= 390 - 308 = 82.

Answer:

I think answer C

Step-by-step explanation:

You can display how many toothbrushes were distributed each month on the dot plot :)

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

440m^2

Step-by-step explanation:

15400/(22/7)=4900, which is r^2, so r=70. Now we can find the circumference by doing 22/7*2*70, which is 440.

Find the radius of the circle:

Area of a circle = pi x r^2

15,400 = 22/7 x r ^2

Divide both sides by 22/7

4900 = r^2

Take the square root of bothe sides:

R = 70

The radius of the circle is 70 meters.

now find the circumference:

Circumference = 2 x pi x radius

Circumference = 2 x 22/7 x 70

Circumference = 440 meters

answer: 440 meters

Answer:

60 feet

Step-by-step explanation:

Answer:

  32.2 units

Step-by-step explanation:

The length of a line segment can be found from its endpoint coordinates using the distance formula.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((18 -2)² +(-18 -10)²) = √(16² +(-28)²) = √1040

  d ≈ 32.2

The line segment is about 32.2 units long.

The approximate length of the segment is 32.25 units if the line segment has endpoints at (2, 10) and (18, -18).

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

We have two points (2, 10) and (18, -18)

From the distance formula:

[tex]\rm d= \sqrt{(x_2-x_2)^2+(y_2-y_1)^2}[/tex]

[tex]\rm d= \sqrt{(18-2)^2+(-18-10)^2}[/tex]

[tex]\rm d= \sqrt{(16)^2+(-28)^2} \\\\\rm d= \sqrt{(256+784)\\[/tex]

[tex]\rm d =\sqrt{1040} \\\\d = 32.249[/tex] units  or

d = 32.25 units

Thus, the approximate length of the segment is 32.25 units if the line segment has endpoints at (2, 10) and (18, -18).

Learn more about the distance formula here:

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#SPJ4

Answer:

just trust yourself

Step-by-step explanation:

Considering the double line graph, it is found that a good prediction for eighth grade enrollment in 2010 is of 165.

It states that:

In 2009, there were 150 students enrolled in the 8th grade, hence an estimate for 2010 should be of about 165 or 170 students.

More can be learned about graphs at https://brainly.com/question/24808124

Answer:

165

Step-by-step explanation:

Answer:

335.69

Step-by-step explanation:

If the exchange rate of USD to Kuwaiti Dinar is 0.2879, multiply the amount of USD by the exchange rate to get the answer.

$1,166 x 0.2879 = 335.6914

335.6914 rounded to the nearest hundredth (two decimal places) is 335.69

So, it is A, 335.69 dinar.

335.69 dinar Sharon will get in exchange for $1,166 option (a) 335.69 is correct.

It is defined as the comparison between two quantities that how many times the one number acquires the other number. The ratio can be presented in the fraction form or the sign : between the numbers.

We have a total amount that will need to convert = $1,166

Exchange rate of us dollars to kuwaiti dinar = 1 : 0.2879

It means $1 converted into 0.2879 dinar

The amount $1,166 in kuwaiti dinar = 1166×0.2879

= 335.69 dinar

Thus, 335.69 dinar Sharon will get in exchange for $1,166 option (a) 335.69 is correct.

Learn more about the ratio here:

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Answer: 4/6

Step-by-step explanation: This because most dice have a  6 sides on them and others have more and if you roll a 6-sided dice you will get 4/6 of a probabilty that you will role a 4.

Answer:

it would also be 65 degrees because the angles match up and because the statement says that both angles are congruent.

Answer:

QR would equal 65

Step-by-step explanation:

It is 65 because if you look at QSR = QST, this tells you that QT and QR are equal to eachother. :)

Hope this helps!!

Have a wonderful day!!

Please rate and mark brainliest!!

Answer:

2l

Step-by-step explanation:

hence.f10 divido 8-2

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Here's the solution ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{2 {}^{n} - 1}{ {4}^{n} - 1} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{2 {}^{n} - 1}{ {( {2}^{2}) }^{n} - 1} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{2 {}^{n} - 1}{ {( {2}^{n}) }^{2} - 1} [/tex]

Now we will use this identity in denominator

[ a² - b² = (a + b)(a - b) ]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{ \cancel{(2 {}^{n} - 1)}}{ {( {2}^{n} }^{} + 1) \cancel{( {2}^{n} - 1)}} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{ 1}{ {( {2}^{n} }^{} + 1) } [/tex]

Answer:

[tex]\sf \dfrac{1}{2^n+1}[/tex]

Step-by-step explanation:

Given expression:

[tex]\sf \dfrac{2^n-1}{4^n-1}[/tex]

Rewrite [tex]\sf 4^n[/tex]:   [tex]\sf 4^n=(2^2)^n=2^{2n}=(2^n)^2[/tex]

Rewrite 1:  1 = 1²

[tex]\sf \implies \dfrac{2^n-1}{(2^n)^2-1^2}[/tex]

Apply difference of two square formula to the denominator

[tex]\sf a^2-b^2=(a+b)(a-b)[/tex]

[tex]\sf \implies \dfrac{2^n-1}{(2^n+1)(2^n-1)}[/tex]

Cancel out the common factor [tex]\sf 2^n-1[/tex] :

[tex]\sf \implies \dfrac{1}{2^n+1}[/tex]

Answer:

[tex]y = (-3/2)\, x + (-2)[/tex].

Step-by-step explanation:

If [tex](x_{0},\, y_{0})[/tex] is on the equation of the line [tex]y = m\, x + b[/tex], then substituting [tex]x = x_{0}[/tex] and [tex]y = y_{0}[/tex] into the equation would still give an equality: [tex]y_{0} = m\, x_{0} + b[/tex].

In this question, since [tex](-2,\, 1)[/tex] is a point on the line [tex]y = m\, x + b[/tex], equality shall still hold after substituting in [tex]x = (-2)[/tex] and [tex]y = 1[/tex]:

[tex]1 = m\times (-2) + b[/tex].

Similarly, since [tex](2,\, -5)[/tex] is a point on this line, equality shall still hold after substituting in [tex]x = 2[/tex] and [tex]y = (-5)[/tex]:

[tex](-5) = m\times 2 + b[/tex].

The unknowns of both equations are [tex]m[/tex] and [tex]b[/tex].

Solve this system of two equations and two unknowns:

[tex]\left\lbrace\begin{aligned}& (-2)\, m + b = 1\\ & 2\, m + b = (-5)\end{aligned}\right.[/tex].

[tex]\left\lbrace\begin{aligned}& m = -\frac{3}{2} \\ & b = -2\end{aligned}\right.[/tex].

Therefore, the equation of this line would be:

[tex]y = (-3/2)\, x + (-2)[/tex].

Answer:

complex

Step-by-step explanation:

The trigonometric ratio will be Cos(n)=12/13

Given is a Right triangle LMN with right angle at M i.e. angle M = 90 degrees.

Given are the sides LM = 15, MN = 36, and LN = 39.

It says to find cos(n) = ?

So opposite side would be LM, adjacent side would be MN, and LN is the hypotenuse.

We know that the cosine ratio is given by :-

[tex]Cos(n)=\dfrac{adjacent}{Hypotenuse}[/tex]

[tex]Cos(n)=\dfrac{MN}{LN}[/tex]

[tex]Cos(n)=\dfrac{36}{39}[/tex]

[tex]Cos(n)=\dfrac{12}{13}[/tex]

Hence the required ratio will be   [tex]Cos(n)=\dfrac{12}{13}[/tex]

To know more about trigonometry, follow

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Answer:

the answer is the first one

Step-by-step explanation:

because

Answer

c                                                  hope it helps

By finding the area of the rectangle, we will see that she will need 150 ft^2 of flooring.

For a rectangle of length L and width W, the area is:

A = L*W

And the perimeter is:

P = 2*(L + W).

In this case, we know that the length is 5ft longer than the width, so we can write:

L = W + 5ft

We also know that the perimeter is 50ft, so we can write:

P = 50ft = 2*(W + 5ft + W)

     50ft = 4*W + 10ft

     40ft/4 = W = 10ft

So the width is 10 ft, and then the length will be:

L = 10ft + 5ft = 15ft

So the area of the rectangle is:

A = 10ft*15ft = 150 ft^2

She will need 150 ft^2 of flooring.

If you want to learn more about areas, you can read:

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Answer: 27

Step-by-step explanation: