A parabola can be drawn given a focus of (-11, -4) and a directrix of x=11. Write the equation of the parabola in any form.

Answer:

-5x + 16

Step-by-step explanation:

I didn't see a equal sign so I assume that x cannot be x = -5/16

So I combined like terms of x and -6x to get -5x as well as +6 and +10 to get 16.

To get my final answer as -5x + 16.

Answer:

12x²+14x+4

Step-by-step explanation:

(3x+2)(4x+2)

you will coil, multiply first term from the first bracket with the 1st term of the second bracket, and again with the 2nd term of the second bracket

do the same with the 2nd term of the first bracket, you will get the following

12x²+6x+8x+4

12x²+14x+4

Answer:

D.No solution

Answer:

C

Step-by-step explanation:

-2(x + 3) = -2x - 6               Remove the brackets

-2x - 6 = -2x - 6

Since the left and right sides are equal, any number will work.

If you wind up with a false statement, then there are no solutions.

2x + 4 = 2x + 7                    Subtract 2x from both sides.

4 =    7

The temperature of the substance at 10am  =  63.95°F

Let the temperature at 10 am be x

The temperature changes by −8.7°F from 10 a.m. to 1 p.m

The temperature at 1 pm = x  -  8.7

At 5 p.m., the temperature is 33.5°F

The temperature at 5 pm = 33.5°F

The temperature at 5 pm is 2/3 of what the temperature was at 1 p.m

[tex]33.5 = \frac{2}{3} ( x-8.7 )[/tex]

Solve for x

3(33.5)  =  2(x  -  8.7)

110.5  =  2x  -  17.4

2x  =  110.5 +  17.4

2x   =  127.9

x   =  127.9/2

x   =  63.95°F

The temperature of the substance at 10am =  63.95°F

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Answer: The drill will reach -915 feet after 18 days.

Answer:

  7.1 cm

Step-by-step explanation:

You want the height of a cylinder of radius 8.2 cm and volume 1500 cm³.

  V = πr²h . . . . . formula for the volume of a cylinder

  h = V/(πr²) . . . formula solved to give h

  h = (1500 cm³)/(π·(8.2 cm)²) ≈ 7.1 cm

The depth of the water is about 7.1 cm.

Answer:

16.8

Step-by-step explanation:

s = ∅ × r

= 2π/3 × 8

= 16/3 * π

= 16.75516

= 16.8

Answer:

C.) 16.8 is your answer

Step-by-step explanation:

Answer:

y=7x+2

Step-by-step explanation:

Since it is in slope intercept form, you can simply subsitute the m(slope), into 7, and the b(y-intercep) into 2.

Hope it helped!

The equation of the line is y = 7x + 2.

The equation of a line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

m = 7 and c = 2

The equation of a line is,

y = mx + c

y = 7x + 2

Therefore, the equation of the line is y = 7x + 2.

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Answer:

Step-by-step explanation:

Initial output:

Upgraded output:

Find the upgraded output in number:

Average output=390KW

Updated percentage=30%

Updated output:-

[tex]\\ \sf\longmapsto 30\%\:of\:390[/tex]

[tex]\\ \sf\longmapsto 0.3(390)[/tex]

[tex]\\ \sf\longmapsto 117[/tex]

New output=390+117=507KW

Answer:

40

Step-by-step explanation:

Answer:

The ratio would be 5 to 3

Step-by-step explanation:

I know this because you would divide the amount of grapes and the amount of cashews by 3 which would equal 5 to 3

The ratio of grapes to cashews that she ate is 5:3.

A ratio is the comparison of two quantities and that can be the comparisons of parts to parts, parts to wholes, and wholes to parts are all examples of ratios.

Given that, Regina ate 25 grapes and 15 cashews.

We need to simplify the ratio of grapes to cashews that she ate.

The ratio = 25/15

= 5/3

Hence the ratio of grapes to cashews that she ate is 5:3.

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12/5 12/5. 12/5 hdhfhd y hh

Answer:

3

Step-by-step explanation:

bookstore is two blocks east of town hall: 0+2=2

the hardware store is three blocks east of the bookstore: 2+3=5

the bank is eight blocks west of the hardware store: 5-8=-3

place an empty store in the opposite location of the bank: opposite of -3 is 3

Each subinterval would have length ∆x = (4 - 2)/n = 2/n

Utilizando propiedades de triángulos rectángulos, veremos que la altura h es igual a 4.28m

Lo primero que debemos notar es que tenemos un triangulo rectángulo. En el podemos ver un ángulo de 55°.

El cateto adyacente tiene una longitud de 3m, y queremos obtener la longitud del cateto opuesto.

Podemos usar la relación trigonométrica:

Tan(θ) = (cateto opuesto)/(cateto adyacente)

Reemplazando los valores que conocemos, obtendremos:

Tan(55°) = h/3m

Tan(55°)*3m = h = 4.28m

La altura h del velero es 4.28m

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Question 2: -4/3

Question 3: -7/20

Answer:

of which class is it ?

Step-by-step explanation:

???????.................

Check the picture below.

Step-by-step explanation:

let's say a is length, and b is width:

a = 10 + b

after this, we can write:

2(a + b) = 72

2(10 + b + b) = 72

2(10 + 2b) = 72

20 + 4b = 72

4b = 72 - 20

4b = 52

b = 52 ÷ 4

b = 13

if b = 13, then a = 10 + b = 10 + 13 = 23

so: a = 23 and b = 13

Step-by-step explanation:

emergency ? why ? you are in the middle of a game with such an unfair die ?

the probabilty for a number of a regular die is 1/6 (desired cases divided by total possible cases).

the probability to role an even number is therefore 3/6 = 1/2.

that means, even and odd are the 2 possible outcomes.

now, for the unfair die we can see it as if we have now 4 possible outcomes : 3 times an even number, and 1 time an odd number.

so, the probability to roll an even number is 3/4 (and for an odd number 1/4).

now, we roll it twice.

for the sum to be even, we either have to roll 2 even numbers or 2 uneven numbers.

the probabilty is the sum of the both probabilities (it is an exclusive "or" relationship).

the probability to roll 2 even numbers is

3/4 × 3/4 = 9/16

the probability to roll 2 uneven numbers is

1/4 × 1/4 = 1/16

the sum is

9/16 + 1/16 = 10/16 = 5/8

so, E is the right answer.

Answer:

  $2526

Step-by-step explanation:

Kevin had copays of 5 × $30 for the office visits and $150 for the ER visit. His total copay was ...

  5×$30 +150 = $150 +150 = $300 . . . . amount Kevin paid

If his bills were $2826, his savings were

  $2826 -300 = $2526

Kevin saved $2526 by being insured.

Answer:

The remander is 1 hope that helps

Step-by-step explanation:

The remainder is 1 when the expression (2021)²⁰²² is divided by 337.

The amount that remains after division is known as the Remainder. The result of division is a value if a number (dividend) cannot be divided entirely by another number (divisor). The remainder is what is known as this amount.

The given term is,

(2021)²⁰²²

To find the remainder when (2021)²⁰²² is divided by 337,

Firstly, divide 2021 from 337.

The remainder of 2021/337 is 336.

Or the remainder can be written in negative as -1.

So the remainder of (2021)²⁰²² when divided by 337,

(2021)²⁰²²/337 = (-1)²⁰²² = 1

The required remainder of (2021)²⁰²² when divided by 337 is 1.

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Answer:

Answer:

50% decrease

Step-by-step explanation:

130-65 = 65

65/130 = 0.5

0.5 x 100 = 50

Answer:

4 2/5

Step-by-step explanation:

     11 7/10

-      7 3/10

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

      4 4/10

4 4/10 = 4 2/5

Answer:

x=40° and y=50°

Step-by-step explanation:

45°+50°+2x+5=180°

100°+2x=180<-- subtract 100 to get x on one side

2x=80

x=40. Thus 2(40)+5 = 85.

85°+55°+x°=180

140°+x=180

x=40°

40°+90°(right angle)=130°, so 180 -130 would equal 50.

y=50°

Answer:

I'm sorry. It's messy ik.

For number 5 that I haven't done, I don't get the answer :((( so...

But basically, the speed is found by multiplying the distance and time. The distance is the same either you go upstream or downstream. Hope it help!

Answer:

Step-by-step explanation:

I'll do #5 second page

let (v) be rowing velocity in still water

let (s) be the stream velocity

d = vt

going downstream

24 = (v + s)4

24 = 4v + 4s

4s = 24 - 4v

s = 6 - v

going upstream

24 = (v - s)6

24 = 6v - 6s

24 = 6v - 6(6 - v)

24 = 6v - 36 + 6v

60 = 12v

v = 5 km/hr

s = 6 - 5 = 1 km/hr

Answer:

The average rate of change between x = 1 to x = 2 is 2, from x = 2 to x = 3 is 4 and from x = 3 to x = 4 is 8.

Step-by-step explanation:

Answer: Comparing a whole numbers and a decimals:

First let’s talk about the similarities of comparing whole numbers and decimals:

=> their place value always matters.

Now, let’s proceed to their differences

=> in comparing whole numbers, we don’t care about the value to the nearest decimal points or the value of ones. We always look at the highest value, not unless the highest values are all the same.

=> In comparing decimals, the value to the nearest decimal points or the tenths place value always matters.

Step-by-step explanation: