Write the equation of a parabola in vertex form.  vertex (2,3) point (3,-2). F(x)= ?

Answer: y = -2x - 7

Step-by-step explanation:

The equation for a perpenducular line has a slope that is the negative inverse of the reference line, in this case x - 2y = 6.

Let's put this equation into standard slope-intercept form, y = mx+b, where m is the slope and b the y-intercept (the value of y when x is 0).

x - 2y = 6

- 2y = 6 - x

y = (1/2) x -3

The slope is (1/2), so a perpendicular line will have a slope of -2.

y = -2x + b

We can find b by using the given point ((-3,-1), a known solution):

-1 = -2*(-3) + b

-1 = 6 + b

b = -7

The perpendicular equation is y = -2x - 7

y = -2x

Answer:

it is a or d

Step-by-step explanation:

Answer:

so this is really simpel x=1 thats it

Step-by-step explanation:\sin ^2\left(20^{\circ \:}\right)\left(x\right)+\cos ^2\left(20^{\circ \:}\right)\left(x\right)=1 \sin ^2\left(20^{\circ \:}\right)x+\cos ^2\left(20^{\circ \:}\right)x=1

we first substitute the x

y= -2(-2-1)

=6

and then use a calculator to do the sum

which gives us 6

y= -2(-1-1)

= 4

y= -2(0-1)

=2

y= -2(1-1)

=0

y= -2(2-1)

=-2

You get a third of some number x if you divide x by 3.

So, one third of (1/3)⁸ is

(1/3)⁸ / 3 = (1/3)⁸ × 1/3 = 1/(3⁸⁺¹) = 1/3⁹

Answer:

500 centiliters

Step-by-step explanation:

Using a phase is helpful for conversions. I like this one "King Henry died by drinking chocolate milk".

K- Kilo : 0.001

H- Hecta : 0.01

D- Deca : 0.1

b- base (gram, liter, meter, etc) : 1

d- deci : 10

c-centi : 100

m-milli : 1000

For every step up or down you move the decimal one place over depending on if you go up or down.

So, for 2.5L as centiliters you would move the decimal over two spots giving you 250 centiliters. You can also multiply or divide by 10 for each step taken. so for two steps you would multiply by 100, also giving you an answer of 250 centiliters. This is then multiplied by two as 250 cL was dumped twice.

Answer:

i think 223/499

Step-by-step explanation:

Answer:

$112.5

Step-by-step explanation:

So 2 pairs of shoes is $45, that means that 4 pairs would be $90.

One pair of shoes would be $22.5

Add $90 to $22.5 to get the answer.

Answer:

2 : 1

Step-by-step explanation:

27 total

9 filled

27 - 9 = 18 empty

18 : 9

2 : 1

Answer:

your answer is the length of time is 7 hours and 15 minutes

Step-by-step explanation:

hope it helps

In the given triangle ABC in the figure, the value obtained for x will be equal to 6.

The basic polygonal shape of a triangle has three sides & three interior angles. This is one of the fundamental shapes in geometry and is particularly associated. It has three connected vertices. Triangles can be divided into a variety of categories according to their sides and angles.

As per the given information in the question,

Use the equation of Pythagoras' theorem,

h² = p² + b²

(2x - 2)² = x² + (x - 2)²

4x² - 2(2x)(2) + 4 = x² + x² + 4 + 4x

4x² - 8x + 4 = 2x² + 4x + 4

4x² - 2x² - 8x - 4x + 4 - 4 = 0

2x² - 12x = 0

2x² - 12x = 0

2x(x - 6) = 0

So,

2x = 0

⇒ x = 0, it is not possible.

Or,

x - 6 = 0

x = 6

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The given question is incomplete, the complete question might be in the attachment.

Answer:

Wooden popsicles, Tissues.,glassbottles, juice cans, paper cups

Answer:

D

Step-by-step explanation:

Main value = .4142

A. sqrt(3)-sqrt(2) = .3178

B. sqrt(3)+sqrt(2) = pi

C. sqrt(2)+1 = 2.4142

D. sqrt(2)-1 = .4142 <-

Answer: [tex]-4.9417197e+16[/tex]

Step-by-step explanation:

Answer:

Impossible?

Step-by-step explanation:

Answer:

5 pails

because jack has 5 pail and he must get 3 more pail to times 5 and get 40

Answer:

true

Step-by-step explanation:

if there is 4 ounces of water in it then it would be empty withing 2 minutes

The change in the volume of water in 1 minute is a decrease of 0.16 milliliters.

Since a water tank in Stewart's home had a small, steady leak loss of 1 3/5 mL in 10 min, to find the change in the volume of water in 1 minute, the following calculation must be performed:

Therefore, the change in the volume of water in 1 minute is a decrease of 0.16 milliliters.

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Answer:

it is between a c because they are both 12

Step-by-step explanation:

Answer:

130 and 211

Step-by-step explanation:

15+17= 32

17+32=49

32+49=81

49+81=130

81+130=211

Answer:

130 and 211

Step-by-step explanation:

15,17,32,49,81 _ _

15+2=17+15=32+17=49+32=81

that mean 81+ 49=130

and 81+130= 211

Hence, the answer is 130 and 211.

Answer:

Step-by-step explanation:

Answer:

help on what?

Step-by-step explanation:

Answer:

You need to post a question or a screenshot of the question so someone can help you!

Answer:

- 14

Step-by-step explanation:

4x + 6 = - 62

4x = - 62 + 6

4x = - 56

x = - 56 / 4

x = - 14

The value of x in this equation will be; x = -14

An equation is an expression that shows the relationship between two or more numbers and variables.

We are given that  the equation 4x + 6 = - 62

Here, we need to solve for x

4x + 6 = - 62

4x = - 62 + 6

4x = - 56

x = - 56 / 4

x = - 14

Therefore, the solution will be as;

x = -14,

The value of x in this equation will be; x = 14

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Answer:

21 minutes

Step-by-step explanation:

30%=9

10%=3

100%-30%=70%

7×10%=70%

3x7=21

=21minutes

Answer:

x+(x-50)=180

2x-50=180

2x-50+50=180+50

2x/2=230/2

x=115

Step-by-step explanation:

according to the question,

x-50+x=180°

2x-50=180°

2x=230°

x=115°.

now, for x-50° = 115°-50°= 65°

hope this helps you.

Answer:

5 movies

Step-by-step explanation:

90-30=60

60/12=5

Answer:

90 minus 12x is greater than or equal to 30

then solve and get x equals 5

Answer:

3 3/4

Step-by-step explanation:

Because 1 = 4/4

then 4 = 12/4

then you take away 1/4

And get 11/4

Then you Turn that into a mixed number

And get 3 3/4

Decimal form is 3.75

Answer:

15/4 alternate answers - 3 3/4 or 3.75

that's what I got

Recall the triple angle identity for sine:

sin(3x) = 3 sin(x) cos²(x) - sin³(x)

… = 3 sin(x) (1 - sin²(x)) - sin³(x)

… = 3 sin(x) - 4 sin³(x)

So the equation is equivalent to

sin²(x) - 2 sin(x) + 2 = sin²(3x)

sin²(x) - 2 sin(x) + 2 = (3 sin(x) - 4 sin³(x))²

sin²(x) - 2 sin(x) + 2 = 9 sin²(x) - 24 sin⁴(x) + 16 sin⁶(x)

16 sin⁶(x) - 24 sin⁴(x) + 8 sin²(x) + 2 sin(x) - 2 = 0

or, by replacing y = sin(x),

16y ⁶ - 24y ⁴ + 8y ² + 2y - 2 = 0

By inspection, y = 1 is a root, since

16 - 24 + 8 + 2 - 2 = 0

so we get one family of solutions,

sin(x) = 1   ===>   x = arcsin(1) + 2nπ = π/2 + 2nπ

Now suppose y ≠ 1. Dividing both sides of the sextic equation by y - 1 then gives

(16y ⁶ - 24y ⁴ + 8y ² + 2y - 2)/(y - 1) = 0

16y ⁵ + 16y ⁴ - 8y ³ - 8y ² + 2 = 0

Unfortunately, the remaining roots can only be obtained through numerical methods. Using a calculator, you would find

y ≈ -1.127

y ≈ -0.475 ± 0.368i

y ≈ 0.539 ± 0.127i

But if you're solving over the reals, you can ignore these solutions. Remember that sin(x) is bounded between -1 and 1, and its value goes outside this interval only when x is complex.