need help with my geometry question please

Consider we need to find the equation of the parabola.

Given:

Parabola with focus (2, 1) and directrix x=-8.

To find:

The equation of the parabola.

Solution:

We have directrix x=-8. so, it is a horizontal parabola.

The equation of a horizontal parabola is

[tex](y-k)^2=4p(x-h)[/tex]           ...(i)

where, (h,k) is center, (h+p,k) is focus and x=h-p is directrix.

On comparing focus, we get

[tex](h+p,k)=(2,1)[/tex]

[tex]h+p=2[/tex]          ...(ii)

[tex]k=1[/tex]

On comparing directrix, we get

[tex]h-p=-8[/tex]         ...(iii)

Adding (ii) and (iii), we get

[tex]2h=2+(-8)[/tex]

[tex]2h=-6[/tex]

Divide both sides by 2.

[tex]h=-3[/tex]

Putting h=-3 in (ii), we get

[tex]-3+p=2[/tex]

[tex]p=2+3[/tex]

[tex]p=5[/tex]

Putting h=-3, k=1 and p=5 in (i), we get

[tex](y-1)^2=4(5)(x-(-3))[/tex]

[tex](y-1)^2=20(x+3)[/tex]

Therefore, the equation of the parabola is [tex](y-1)^2=20(x+3)[/tex].

Answer:

1470 square feet

Step-by-step explanation:

15x10 =150

132×10=1320

total =1479

Answer:

15 bulbs are red.

Step-by-step explanation: Because 75 is 3 times as big as 25 so every 1 green light bulb 3 red light bulbs will be deflective.

answer:

61.712

Step-by-step explanation:

60 feet = 18.288

left wire = 80-18.288 = 61.712

Answer:

false

Step-by-step explanation: ur welcome

Answer:

Approximately 3 grams left.

Step-by-step explanation:

We will utilize the standard form of an exponential function, given by:

[tex]f(t)=a(r)^t[/tex]

In the case of half-life, our rate r will be 1/2. This is because 1/2 or 50% will be left after t half-lives.

Our initial amount a is 185 grams.

So, by substitution, we have:

[tex]\displaystyle f(t)=185\big(\frac{1}{2}\big)^t[/tex]

Where f(t) denotes the amount of grams left after t half-lives.

We want to find the amount left after 6 half-lives. Therefore, t = 6. Then using our function, we acquire:

[tex]\displaystyle f(6)=185\big(\frac{1}{2}\big)^6[/tex]

Evaluate:

[tex]\displaystyle f(6)=185\big(\frac{1}{64}\big)\approx2.89\approx 3[/tex]

So, after six half-lives, there will be approximately 3 grams left.

Answer: A

Step-by-step explanation: B is a simile, D isn't true, and C doesn't exist (there is no type of figurative language that means that). I hope this helps you out!

Answer:

-7 is colder, so Sasha has the coldest temperature.

Step-by-step explanation:

Simple as it is, -7 is 7 degrees below 0 which means its far more negative than -4. On a number line -7 would be the farthest dot from 0 on the left which you'd want to choose.

A because I did it

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

9514 1404 393

Answer:

  y +3 = -2(x +4)

Step-by-step explanation:

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . .  line with slope m through point (h, k)

For your given point and slope, this is ...

  y -(-3) = -2(x -(-4))

  y +3 = -2(x +4)

Answer:

i personally think it is B i might be wrong tho

Step-by-step explanation:

Answer: (D) x=20

I know this because i took the test and got the answer right....amen

Answer:

C

Step-by-step explanation

Its c trust me.

Answer:

Answer: A. 0.2

Step-by-step explanation:

Probability

The circle graph shows the distribution of the makeup of the Riverside Municipal Choir.

The total number of choir sections is: 8+10+10+12=40

To calculate the probability of a member chosen at random comes from the alto section, we use the formula:

[tex]\displaystyle P=\frac{8}{40}[/tex]

Calculating:

P = 0.2

Answer: A. 0.2

Answer:

The distance between 7 and zero on a number line

Step-by-step explanation:

Answer:

the first one

Step-by-step explanation:

0 to 7 on a number line is 7

Answer:

The value of x = 20

Step-by-step explanation:

Given the expression

[tex]\frac{4}{5}x\:-\:\frac{1}{4}x\:=\:11[/tex]

The L.C.M of 5,4: 20

Multiply by LCM = 20

[tex]\frac{4}{5}x\cdot \:20-\frac{1}{4}x\cdot \:20=11\cdot \:20[/tex]

Simplify

[tex]16x-5x=220[/tex]

[tex]11x=220[/tex]

Divide both sides by 11

[tex]\frac{11x}{11}=\frac{220}{11}[/tex]

[tex]x=20[/tex]

Therefore, the value of x = 20

Answer:

170.6 inches

The scale factor is an enlargement

Step-by-step explanation:

16 by 24 is the Painting by a scale factor of 2.25

A scale factor is an enlargment or reduction in a shape or quantity.

So

(16*24) is the size of the painting after Scale factor

16*24=384

Know get 384/2.25

170.666666667

170.6 inches

Answer:

16 seconds

Step-by-step explanation:

You basically have to do all numbers times 2

The required time the electric clock would take to sound 6 times is 16 seconds at 6:00.

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

Here,
It takes 8 seconds for an electric clock to sound 3 times, so it takes,
= 8 / 3 = 2.67 seconds to sound once.

Therefore, the time it would take
= 2.67 × 6
= 16 seconds

Thus, the required time the electric clock would take to sound 6 times is 16 seconds at 6:00.

Learn more about proportionality here:

https://brainly.com/question/22620356

#SPJ2

Answer:

A I think

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

the answer is 0.83

Answer:

[tex] 2^{\frac{3}{10}} [/tex]

Step-by-step explanation:

[tex] \frac{2^{\frac{2}{5}}}{2^{\frac{1}{10}}} [/tex]

Applying quotient of powers property (i.e. [tex] \frac{a^x}{a^y} = a^{x - y} [/tex]

[tex] 2^{\frac{2}{5} - \frac{1}{10}} [/tex]

[tex] 2^{\frac{4 - 1}{10}} [/tex]

[tex] 2^{\frac{3}{10}} [/tex]

Answer:

2 3/10

Step-by-step explanation:

Answer:

3.4

The quotient of 33.32 divide by 9.8 = 3.4

c = 27/40

Pic is below for explanation

God bless !

Answer:

Step-by-step explanation:

since the line crosses the y axis at -4  we know that b in the slope intercept form is -4 . now we just need the slope..  and slope is rise over run  or y/x... soooo   .....

looking at the graph I see that the point (-1,4) and (0,-4) look like they are points on the graph..  

soooo....

the rise is -8 when the run is 1 or  -8/1  or just -8

use the slope intercept form  y = mx + b

y= -8x + (-4)

y = -8x -4    :)

Answer:

The width  of the rectangle is 14'8",  and the length is 33'4"

Step-by-step explanation:

We're given two pieces of information:

The length is eight more than twice the width:

[tex]l = 2w + 4[/tex]

The perimeter is 96 feet:

[tex]p = 96[/tex]

We also need to apply one more piece of information that is not provided here, and that is the relationship between the perimeter of a rectangle, and it's length and width:

[tex]p = 2l + 2w[/tex]

We can solve for w by plugging the other two values into the last:

[tex]p = 2w + 2l\\96 = 2w + 2(2w + 4)\\96 = 2w + 4w + 8\\88 = 6w\\3w = 44\\w = \frac{44}{3}\\w = 14\frac{2}{3}[/tex]

Now we can find the length by plugging w into the first equation:

[tex]l = 2w + 4\\l = 2(14\frac{2}{3}) + 4\\l = 29\frac{1}{3} + 4\\l = 33\frac{1}{3}[/tex]

One third of  a foot is four inches, so the width is 14'8" and the length is 33'4"

To make sure our answer is correct, we should plug those numbers back into the area equation and see if we're right:

[tex]p = 2l + 2w\\p = 2(33\frac{1}{3}) + 2(14\frac{2}{3})\\p = 66\frac{2}{3} + 29\frac{1}{3}\\p = 96[/tex]

So we know our answer's correct

Answer:

y = x + 8

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

Standard Form: x - y = -8

Step 2: Rewrite

Find slope-intercept form

Answer:

18

Step-by-step explanation:

You always multiply when doing area.

Answer:56cm

Step-by-step explanation: