PlS HELP ME!!!!!!!!!!!!

Answer:

f(x) = [tex]\frac{1}{16}[/tex] (x - 2)² + 2

Step-by-step explanation:

From any point (x, y ) on the parabola the focus and the directrix are equidistant.

Using the distance formula

[tex]\sqrt{(x-2)^2+(y-6)^2}[/tex] = | y + 2 | ← square both sides

(x - 2)² + (y - 6)² = (y + 2)² ← subtract (y + 2)² from both sides

(x - 2)² + (y - 6)² - (y + 2)² = 0 ← subtract (x - 2)² from both sides

(y - 6)² - (y + 2)² = - (x - 2)² ← expand left side using FOIL and simplify

y² - 12y + 36 - y² - 4y - 4 = - (x - 2)²

- 16y + 32 = - (x - 2)² ← subtract 32 from both sides

- 16y = - (x - 2)² - 32 ← divide all terms by - 16

y = [tex]\frac{1}{16}[/tex] (x - 2)² + 2

Answer:44.767=45

Step-by-step explanation:

sinR=

71

50

​

R=\sin^{-1}(\frac{50}{71})

R=sin

−1

(

71

50

​

)

R=44.767\approx 45^{\circ}

R=44.767≈45

∘

Answer:

45

Step-by-step explanation:

Answer:

her hourly pay is £8.50

Step-by-step explanation:

h= hourly pay

n = number of hours worked over 40 hours in a week

week pay = 40h + (n x 2 x h)

544 = 40h + 2nh

52 - 40 = 12, so n = 12

544 = 40h + 2 x 12 x h

544 = 40h + 24h

544 = 64h

544/64 = 8.5 h=8.5 (£8.50)

just to check:

£8.50 x 40 = £340

£8.50 x 2 x 12 = 204

340 + 204 = 544 yayy the answer is correct

hope this helps x

plzzz can i hv brainliest

Answer: 20/3

Step-by-step explanation:

To write 6 2/3 as a fraction greater than 1, we simply have to convert it from a mixed fraction to an improper fraction. This will be:

6 2/3 = [(6 × 3) + 2]/3

= (18 + 2)/3

= 20/3

Therefore, the answer is 20/3.

Answer:

 it would be 9/8 as the perimeter

Step-by-step explanation:

you would add all the sides together

1/8+3/4+1/4 = 9/8

Answer:

1 1/8 in.

Step-by-step explanation:

you have to add up all of the sides. 3/4 plus 1/4 equals 1. 1 plus 1/8 equals 1 1/8. Hope I helped you : )

Answer:

4.3

Step-by-step explanation:

Add the numbers and divide by 2 , finding the average, that is

middle number = [tex]\frac{1.5+7.1}{2}[/tex] = [tex]\frac{8.6}{2}[/tex] = 4.3

Answer:

4.3 is the answer

Step-by-step explanation:

(1.5 + 7.1 ) ÷ 2 = 4.3

Answer:

C which is b-7=28

Btw I just had a question like this on a test yesterday and I got it right

Answer:

x = 8

Step-by-step explanation:

-4x + 6(6 - 2x) = -7x - 36

-4x + 36 - 12x = -7x - 36

-16x + 36 = -7x - 36

      +36           +36

-16x + 72 = -7x

+16x           +16x

72 = 9x

divide by 9

x = 8

Answer:

Rs 2

Step-by-step explanation:

5 pen =Rs 10

1 pen = 10÷2

=Rs 2

number 1:

m=7

5m-6

=5(7)-6

=35-6

=29

the answer is 29

Answer:

Rise over Run

Step-by-step explanation:

Start to count up and count across the graph so like

^ then ——>

|

Answer: 54 cubic units

Step-by-step explanation:

I did it on khan academy and I got it right

Answer:

54 cubic units picture for proof below

Step-by-step explanation:

Answer:

5/9

hope of it helps

help me grow ❤️

Answer:  0.5 is the answered simplified i think correct me if im wrong anyone!

[tex]\tt{} {2x}^{2} - 26x + 84[/tex]

[tex]\tt{}2 {(x}^{2} - 13x + 42)[/tex]

[tex]\tt{}2 {(x}^{2} - 6x - 7x + 42)[/tex]

[tex]\tt{}2( x \times (x - 6) - 7(x - 6))[/tex]

[tex]\tt{}2(x - 6) \times (x - 7)[/tex]

Answer:

125.6

Step-by-step explanation:

Circumference = 2 x pi x r (radius)

                         = 2 x 3.14 x 20

                         = 125.6

Answer: 120

Step-by-step explanation: 20x3x2

20x3=60

60x2=120

Answer:

The answer is

m<p =66°21'14"

m<R =37°38'46"

PR =28,6

Step-by-step explanation:

[tex] {pr}^{2} = {18}^{2} + {27}^{2} - 2 \times 18 \times 27 \cos(76) = 817.85 \\ pr = 28.6 \\ \cos(p) = \frac{ {18}^{2} + {28.6}^{2} - { {27}^{2} } }{2 \times 18 \times 28.6 } = 0.4 \\ m < p = 66.42 \\ m < r = 180 - 76 - 66.42 = 37.58[/tex]

Answer:

Step-by-step explanation:

There is nothing more to do than read the answers

Answer:

I solved question number 8.

a) p= 9

b) p = 17

I solved number 9 but I'm not sure about it

i) 119

ii) 14165

The solution of given simultaneous equations is x = 2 and y= 3

"It is set of all points (x, y) on the coordinate plane that makes equation true."

"It is a statement that consists of equal symbol between two algebraic expressions."

For given question,

We have been given two equations,

y = 5 - x and

y = x + 1

The graph of above two equations is as shown below.

The solution of given equations is the point of intersection of the lines    y = 5 - x and y = x + 1.

Therefore, the solution of given simultaneous equations is :

x = 2 and y= 3

Learn more about simultaneous equations here:

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Answer:

70 degrees

Step-by-step explanation:

If cosm<A = 342/1000, we are to find the value of a

Take arccos of both sides

cosm<A = 342/1000

cosm<A = .342

arccos(cosm<A) = arccos(0.342)

m<A = arccos(0.342)

m<A = 70 degrees

Hence the measure of m<A is 70 degrees

reflection and translation.

Given:

The different transformation in the options.

To find:

The transformation that would result in the perimeter of a triangle being different from the perimeter of its image.

Solution:

In option 1,

[tex](x,y)\to (y,x)[/tex]

It represents reflection across the line y=x.

In option 2,

[tex](x,y)\to (x,-y)[/tex]

It represents reflection across the x-axis.

In option 3,

[tex](x,y)\to (4x,4y)[/tex]

It represents dilation by scale factor 4 and the center of dilation is at origin.

In option 4,

[tex](x,y)\to (x+2,y-5)[/tex]

It represents translation 2 units right and 5 units down.

We know that the reflection and translation are rigid transformations, It means the size and shape of the figure remains the same after transformation.

So, the perimeter of the figure and its image are same in the case of reflection and translation.

But dilation is not a rigid transformation. In dilation, the figure is similar to its image. So, the perimeter of the figure and its image are different in the case of dilation.

Therefore, the correct option is 3.

Answer: (-2, 10)

Explanation: Since one equation has a +4y and the other equation has

a -4y, when we add the equations together, the y's will cancel out.

So we have 23x = -46 and x = -2.

To find y, plug -2 back in for x in either of the two original equations.

I've chosen to plug -2 into the first equation to get 10(-2) + 4y = 20.

Solving from here, y = 10.

So our final answer is the ordered pair (-2, 10).

Now, check your answer.

Answer:

Apple cost $0.85

Banana cost $1.2

Step-by-step explanation:

Given data

let the number of apples be x

and the number of bananas be y

Patricia bought 5 apples and 7 bananas for $12.65

5x+7y= 12.65----------1

Jose bought 10 apples and 8 bananas for $18.10

10x+8y= 18.10-----------2

solve 1 and 2 above

5x+7y= 12.65 X 2

10x+8y= 18.10 X 1

 10x+14y= 25.3

- 10x+8y= 18.10

         6y= 7.2

y= 7.2/6

y= 1.2

put y= 1.2 in 1

5x+7(1.2)= 12.65

5x+ 8.4= 12.65

5x= 12.65- 8.4

5x= 4.25

x= 4.25/5

x= 0.85

Hence each apple cost $0.85

Banana cost $1.2

Answer:1,grams 2,b 3, id k srry

Step-by-step explanation:

Answer:

Luis quiere recibir 200$ de más por mes.

Step-by-step explanation:

Para podr calcular esto, necesitamos escribir la desigualdad dada, y para ello debemos transformar el lenguaje a lenguaje algebraico.

tres medios de la cantidad deseada:  3/2 x

mas 4100 (en este caso debería ser $100, y fue un error de tipeo): + 100

son mayor o igual a $700:  ≥ 700

Inecuación: 3/2 x + 100 ≥ 700

Ahora solo nos queda resolver el valor de x de esta inecuación. El resultado nos dirá cuanto quiere recibir al mes, por lo que la resta de esta cantidad con la cantidad que recibía antes nos dirá cuanto de más desea recibir:

3/2 x + 100 ≥ 700

3/2 x ≥ 700 - 100

3/2 x ≥ 600

3x ≥ 600 * 2

x ≥ 1200 / 3

x ≥ 400

Por tanto, Luis desea recibir al mes $400, lo que se traduce en que quiere recibir de más

400 - 200 = 200

Luis desea recibir de mas $200.

Espero te ayude

Answer:

The measure of SM is less than the measure of MR.

Step-by-step explanation:

The side opposite the larger angle is larger than the side opposite the shorter angle.

Answer:

-121 feet

Step-by-step explanation:

If itś 121 feet below sea level than it would be -121 feet

The signed number -121 represents an elevation of 121 feet below sea level in the context of the valley.

To represent the elevation of a point in a valley that is 121 feet below sea level as a signed number, we can use a negative sign (-) to indicate a position below sea level.

Therefore, the signed number to represent this elevation would be -121. The negative sign (-) indicates that the elevation is below sea level, and the magnitude of the number (121) represents the distance below sea level, which is 121 feet in this case.

In summary, the signed number -121 represents an elevation of 121 feet below sea level in the context of the valley.

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