Gayle graphs the parabola (y + 1)2 = 12 (x – 3). How does she proceed? Drag a value, coordinates, equation, or word to the boxes to correctly complete the statements. Gayle identifies that the vertex of the parabola is The parabola opens and the focus is units away from the vertex. 1 The directrix is units from the focus. The focus is the point The directrix of the equation is TE <​

Answer:

Tan N = 4 / 3

Tan L = 3 / 4

Step-by-step explanation:

By Pythagoras theorem,

(LN)² = (MN)² + (LM)²

10² = 6² + (LM)²

100 = 36 + (LM)²

(LM)² = 100 - 36

(LM)² = 64

LM = 8

Tan N

= Opposite / Adjacent

= LM / MN

= 8 / 6

= 4 / 3

Tan L

= 1 / Tan N

= 1 / ( 4 / 3 )

= 3 / 4

Answer: $1.57

Step-by-Step Explanation:

Study.com says: “the formula for calculating the sales tax on a good or service is: selling price x sales tax rate, and when calculating the total cost of a purchase, the formula is: total sale amount = selling price + sales tax,” (study.com, How to Calculate Sales Tax).

So, to find the amount of money they are charging for taxes, we need to use the formula: $18.50 x 8.5%. The selling price is the total sum of the purchase, and the sales tax rate is the percentage number that is apply to every sale as taxes.

Here’s how we solve:

1. To multiply, we first need to change our percentage into a decimal by dividing it by 100. —> 8.5/100 = 0.085

2. Multiply the purchase times the sales tax rate, which is converted into a decimal. —> 18.50 x 0.085 = 1.5725

3. Because money only uses the tenths and the hundredths places, we round up. —> 1.5725 ~ 1.573 ~ 1.57

4. Our answer for the tax amount charged in money is $1.57

Hope this helps!

Answer:

Energy from the sun changes liquid water to a gas.

Step-by-step explanation:

Answer:

the 2nd choice

Step-by-step explanation:

A rectangular prism is nothing but a cuboid. Let the length , width and height of the  rectangular prism be l, w and h.

We know that volume of a cuboid V = l×w×h

So,  l×w×h = 936

So, we can find any dimension of the prism provided the the other two dimensions are given to us.

Answer:

6 watches, 12 necklaces, and 24 earrings.

Step-by-step explanation:

turn the number of watches into x

42 = 4x + 2x + x

42 = 7x

x = 6

she has 6 watches, 12 necklaces, and 24 earrings

Answer:

D)  3x²y

Step-by-step explanation:

Answer:

.24

Step-by-step explanation:

One pack of marbles cost $0.24

Answer:

see explanation

Step-by-step explanation:

(a)

constant of proportion = [tex]\frac{d}{t}[/tex] ( d is distance, t is time )

Use any ordered pair from the table

Using d = 225 and t = 5 , then

constant = [tex]\frac{225}{5}[/tex] = 45

(b)

Unit rate is then 45 miles per hour

(c)

The equation relating the quantities is

d = 45t

Answer:

(a)

constant of proportion =  ( d is distance, t is time )

Use any ordered pair from the table

Using d = 225 and t = 5 , then

constant =  = 45

(b)

Unit rate is then 45 miles per hour

(c)

The equation relating the quantities is

d = 45t

Answer:

4/8

Step-by-step explanation:

7/8 - 3/8 - 4/8

4/8 + 3/8 = 7/8

n = 4/8

hope this helps

Answer:

4.4

Step-by-step explanation:

(-7/10 + 0.15) ÷ (-0.125)

(-70/100 + 15/100) ÷ (-0.125)

-55/100/-0.125

-.55/-0.125

4.4

Answer:

12 days

Step-by-step explanation:

420/35 to find amount of days to finish book

420/35 = 12

Answer:

c.

Step-by-step explanation:

Answer:The code is simple the answer is googl

Step-by-step explanation:

Answer:

-5x^6-8x^2+6x+11

Step-by-step explanation:

(-5x^6+7x+1)-(8x^2+x-10)

Remove parentheses

-5x^6+7x+1-(8x^2+x-10)

-(8x^2+x-10)=-8x^2-x+10

-5x^6+7x+1-8x^2-x+10

Simplify

-5x^6-8x^2+6x+11

Answer:

A  a.  25 minutes

Step-by-step explanation:

Let x = time in minutes.

Aquarium I contains y water at time x.

y = 4.6 + 1.2x

Aquarium II contains y water at time x,

y = 54.6 - 0.8x

We want the amounts of water to be equal, so we set the right parts of the equations equal and solve for x, the time in minutes.

4.6 + 1.2x = 54.6 - 0.8x

Subtract 4.6 from both sides.

Add 0.8x to both sides.

2x = 50

Divide both sides by 2.

x = 25

Answer:

Sally is 23 years old.

Step-by-step explanation:

John's age is completely unknown, so it is known as x

Meanwhile, Sally's age can be represented as 3x+2

The sum of both ages is 30.

So, x+3x+2=30

Combine like terms.

4x+2=30

Subtract 2 from both sides.

4x=28

Divide both sides by 4.

x=7

John is 7 years old.

Sally's age: 3(7)+2=23

Sally is 23 years old.

Answer:

B) 1/4^ 7.

Step-by-step explanation:

You should know this.... basic math

Answer:

17 + m ≤ 65

Step-by-step explanation:

Maximum distance = 65 miles

Number of miles already ridden = 17

Expression to represent how many more miles, 'm' she can ride ;

Number of miles already ridden + m ≤ maximum distance

17 + m ≤ 65

m ≤ 65 - 17

m ≤ 48

The amount of additional miles Lyla can ride is at most 48 miles

Answer:

C

Step-by-step explanation:

Answer:

volume of cylinder

= πr²h

= π×3²×5

= π×9×5

=45π

= 141.37 cubic feet

Answer:

15

Step-by-step explanation:

Assuming x is the length DB

Δ DSR and Δ DBC are similar, so ratios of corresponding sides are equal, that is

[tex]\frac{DB}{DS}[/tex] = [tex]\frac{DC}{DR}[/tex] , substitute values

[tex]\frac{DB}{10}[/tex] = [tex]\frac{12}{8}[/tex] ( cross- multiply )

8 DB = 120 ( divide both sides by 8 )

DB = 15

That is x = DB = 15

the measure of the side = of the measure of radius because the regular hexagon have 6 sides = at each others

meaning the measure the perimeter is = 6 times the radius

and the radius = 8cm

so perimeter = 6× 8 cm

perimeter = 48cm

since the apothem is the segment perpendicular to a side thought the center and those segment are not promotional we have the notation as

r square root of 3 divided by 2

r = radius = 8 cm

by apply the formula

8square root 3 divided by 2

so the area will be

since the perimeter is 48cm

and the apothem is 8 square root of 3 divided 2

so the area will be 48 times 8 square root of 3 divided by 2 = 384 square of 3 divided by 2 .

hope that helps.

The graph of g(x) is (a) an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 2) and goes through (1, 5).

The function f(x) is given as:

[tex]f(x) = 2(0.4)^x[/tex]

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

This means that:

[tex]g(x) =f(-x)[/tex]

[tex]f(-x) = 2(0.4)^{-x}[/tex]

[tex]g(x) = 2(0.4)^{-x}[/tex]

Hence, the graph of g(x) is graph (a)

Read more about function transformation at:

https://brainly.com/question/12619643

Answer:

[tex]x = 26[/tex]

Step-by-step explanation:

Supplementary Angles add up to 180.

Angle C and Angle D add up to 180.

[tex]128 + 2x = 180[/tex]

[tex]2x = 52[/tex]

[tex]x = 26[/tex]

Answer:

What type of circle would you use when graphing x≥5: I do not know sorry :(

When graphing x≥5 on a number line, you would point your arrow which way?

:To the right

Solve the following inequality

x−3>7: x>10

Step-by-step explanation:

I did the math :)

Answer:

Step-by-step explanation:

Answer:

I would say either A or C

Step-by-step explanation:

Answer:

2 hours 48 minutes

Step-by-step explanation:

Debra=1 plowing job / 7 hours

Debra+Alexandra=1 plowing job / 2 hours

1/2-1/7

=7/14-2/14

=5/14

=1/14/5 (Alexandra can do 1 unit of plowing job per 14/5 hours)

14/5 hour=2 hours 48 minutes (hope hits helps)

Alexandria to finish the same job alone in, 2 hours 48 minutes

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

Debra and Alexandria can finish a plowing job in two hours if they work together.

And, Debra can do the job in 7 hours by herself.

Hence, We get;

For Debra = 1 plowing job / 7 hours

Debra + Alexandra = 1 plowing job / 2 hours

Hence, Time to take Alexandria to finish the same job alone is,

= 1/2 - 1/7

= 7/14 - 2/14

= 5/14

= 1/14/5 (Alexandra can do 1 unit of plowing job per 14/5 hours)

= 2 hours 48 minutes

Thus, Alexandria to finish the same job alone in, 2 hours 48 minutes

Learn more about the subtraction visit:

https://brainly.com/question/17301989

#SPJ3

Answer:

false

Step-by-step explanation:

The horizontal axis is the x axis.

I don't really know what your school wants in the blank but here's what I think it is:

The horizontal axis on the coordinate grid is the x axis.

Hope this helps! let me know if its right!

Answer:

There are 36 people at the meet

Step-by-step explanation:

if the ratio is 4 men to 5 women it means that every time there are 4 men there will be 5 women so its 4/5

and since we know there are 20 men the equation becomes:

4/5 = x/20

so to make 4/5 have 20 as a denominator we multiply by 4/4.

4/5*4/4 = 16/20

So, now we know there are 16 women.

And 16+20 = 36