Mathematics College

Define the axis of symmetry, vertex, focus and directrix for

16(y-4)= (x-3)^2

NO LINKS!!
​

Answers

Answer 1

Answer:

  see attached

Step-by-step explanation:

The equation is in the form ...

  4p(y -k) = (x -h)^2 . . . . . (h, k) is the vertex; p is the focus-vertex distance

Comparing this to your equation, we see ...

  p = 4, (h, k) = (3, 4)

p > 0, so the parabola opens upward. The vertex is on the axis of symmetry. That axis has the equation x=x-coordinate of vertex. This tells you ...

  vertex: (3, 4)

  axis of symmetry: x = 3

  focus: (3, 8) . . . . . 4 units up from vertex

  directrix: y = 0 . . . horizontal line 4 units down from vertex

Define The Axis Of Symmetry, Vertex, Focus And Directrix For16(y-4)= (x-3)^2NO LINKS!!

Related Questions

Find the perimeter of the figure. Use 3.14 for 7 and round to at least 1 decimal place.

Answers

Answer:

the perimeter of the figure is 27.4 mi

Step-by-step explanation:

rectangle perimeter = 6+6+6 = 18

half circle perimeter = 1/2 2πr = 3.14 × 3 = 9.42

the perimeter of the figure is 18+9.42 = 27.42 --> 27.4 mi

Men to women working for a company is 2 to 3 if there are 80 employees total how many men work for the company

Answers

Answer:

48

Step-by-step explanation:

because if there is 48 men there is 32 women therefor making 80 employees

Two angles of a quadrilateral measure 215° and 70°. The other two angles are in a ratio of 2:13. What are the measures of those two angles?

Answers

The sum of the interior angles of a quadrilateral is 360°.

The ratio of 2 angles is 2 : 13. Take them as 2x° & 13x°.

Now, solve for x.

[tex]\mathfrak{215+70+2x+13x=360} [/tex]

[tex]\mathfrak{285+15x=360} [/tex]

[tex]\mathfrak{15x=360-285} [/tex]

[tex]\mathfrak{15x=75} [/tex]

[tex]\mathfrak{x=\dfrac{75}{15}} [/tex]

[tex]\underline{\mathfrak{x=5}} [/tex]

So,

2x = 2(5) = [tex]\boxed{\mathfrak{10^{\circ}}} [/tex]

13x = 13(5) = [tex]\boxed{\mathfrak{65^{\circ}}} [/tex]

[tex]\mathbb{MIREU} [/tex]

Supposed there is a 1.3f drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 61.9f what will be the temperature when the plane reaches an altitude of 8,000ft

Answers

Answer:

Answer:

Step-by-step explanation:

Step-by-step explanation:

Answer:

51.5

Step-by-step explanation:

8000/1000=8

8x1.3=10.4

61.9-10.4

12. TEKS 21
A customer paid a total of $6.00 for 68 copies at a print shop. Some of the copies were
black-and-white coples, and the rest were color copies.
.
Each black-and-white copy cost $0.08.
Each color copy cost $0.15.
.
Which system or equations can be used to find b, the number of black-and-white copies,
and c, the number of color copies that the customer paid for at the print shop?


Answers

The system or equations can be used to find b, the number of black-and-white copies,

and c, the number of color copies that the customer paid for at the print shop is

b + c = 68

b + c = 680.08b + 0.15c = 6

Given:

Total amount paid = $6.00

Total copies = 68

cost of black-and-white copy = $0.08

cost of color copy = $0.15

let

number of black-and-white copies = b

number of color copies = c

The equation:

b + c = 68

b + c = 680.08b + 0.15c = 6

Therefore, the system or equations can be used to find b, the number of black-and-white copies,

and c, the number of color copies that the customer paid for at the print shop is

b + c = 68

b + c = 680.08b + 0.15c = 6

Learn more about equation:

https://brainly.com/question/4916384

!PLEASE ANSWER ASAP! THANK YOU!

if g(n) varies inversely with n and g(n) = 9 when n = 4 then find the value when g(n)=8.

round final answer to the tenths place. if answer is a whole number then put a zero in the tenths place before entering your answer.

Answers

Answer:

Step-by-step explanation:

I'm ASSUMING you want to find n where g(n) = 8

g(n) = a/n

g(4) = 9 = a/4

          a = 36

g(n) = 8 = 36/n

         n = 36/8 = 4.5

the points (0, p) and (1, 4) lie on a line with a slope of 3. what is the value of p?

Answers

Answer:

p=1

Step-by-step explanation:

[tex]\frac{4-p}{1-0}[/tex]=3

4-p=3

p=1

Which equation best matches the graph shown below?

Answers

Answer:

y= 10x² + 7x + 2.8

Step-by-step explanation:

because the 10x was used twice then the it went to the line of 7x and went down to 2.8 then for the second time it went to 10x

Answer:

-10x^2+7x+4 Would be the correct option

Please thank my question. :)

Does the expressions
[tex] \sqrt{100 - 64} [/tex]
and
[tex] \sqrt{100 - \sqrt{64} } [/tex]
have the same value?​

Answers

Answer:

No. they have a difference in value

the first ans is 6 while the second gives 9.56

what is the slope of (8,3) (-5,3)

Answers

Answer:

-13x. (I think)

Step-by-step explanation:

David invests $10,000 in a savings account that pays 3.5% simple interest. If David

makes no withdrawals or deposits to the account, how much will be in the

account after 7 years.

Answers

Answer:

David will have $12,450 if he makes no withdrawals.

find the value
9-2(--6-4)

Answers

70 would be the answer

sixty students at gillette road middle school play a winter modified sport. if there are 500 students in the middle school, what percent of students play a sport

Answers

Answer:

60/500=0.12

so 12%

Hope This Helps!!!

Help with this please?

Answers

A and b good luck (:(:
the answers are A and B


7 cm
rom
This quarter circle has a radius of 7 centimeters.
What is the area of this figure?
Use 3.14 for pi.
Enter your answer as a decimal in the box. Round your answer
to the nearest hundredth

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Area of quarter = 1/4 × Area of whole circle

that is ~

[tex] \sf \dfrac{1}{4} \times \pi {r}^{2} [/tex]

[tex] \sf \dfrac{1}{4} \times 3.14 \times 7 \times 7[/tex]

[tex] \sf \dfrac{153.86}{4} [/tex]

[tex] \sf \approx38.46 \: \: cm {}^{2} [/tex]

evaluate 3c + 6y for c=5 and y=6

Answers

Answer:

51

Step-by-step explanation:

because 3(5)+6(6)

Answer:

51

Step-by-step explanation:

3c+6y

3(5)+6(6)

15+36

51

PLEASE SOMEONE HELP ME OH LORD PLEASE I BEG U

Answers

Answer:

It's 30 because there is an average of 30 days in a month and the person has to take 1mg a day for a month

Step-by-step explanation:

Hope this helps

May I get braineist pls?

C. 30 because 1mg every day and there are 30 days in a month

EXERCISE 11D

1. Draw MON = 81° and bisect it.
2. Draw an angle of measure 175°.
3. Construct a right angle and then bisect it.
4. Draw ABC= 162º and divide it into four equal parts.
5. Construct the following angles using a ruler and compass. a 60° b. 30° C. 120° d. 135°
6. Draw an angle of 107° and make a copy of it. Verify your construction by ac measurement. a.
7. Draw an angle of 83º. Make a copy of its complementary angle.

✅help me to solve this

​

Answers

1. Draw MON = 81° and bisect it.

2. Draw an angle of measure 175

3. Construct a right angle and then bisect it.

Draw ABC = 162° and divide it into four equal parts.

5. Construct the following angles using a ruler and compass.

120°

Helpppo for an exammmm

Answers

Answer:

AAS

Step-by-step explanation:


The midpoint of GH is M( 6,-4). One endpoint is G(8,-2). Find the coordinates of endpoint H.

Answers

Using the midpoint formula, the coordinates of endpoint H are (4, -6).

The Midpoint Formula

The midpoint formula is given as: [tex](x_m, y_m) = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} )[/tex]

Where,

[tex](x_m, y_m)[/tex] = coordinates of the midpoint

[tex](x_1, y_1)[/tex] = coordinates of the first point

[tex](x_2, y_2)[/tex] = coordinates of the second point

Given the following:

[tex](x_m, y_m)[/tex] = M( 6,-4)

[tex](x_1, y_1)[/tex] = G(8,-2)

[tex](x_2, y_2)[/tex] = H(?, ?)

Plug in the values into the midpoint formula

[tex]M(6, -4) = (\frac{8 + x_2}{2}, \frac{-2 + y_2}{2} )[/tex]

Solve for the x-coordinate and y-coordinate separately

[tex]6 = \frac{8 + x_2}{2}[/tex]

Multiply both sides

[tex]6 \times 2 = 8 + x_2\\\\12 = 8 + x_2\\\\12 - 8 = x_2\\\\4 = x_2\\\\\mathbf{x_2 = 4}[/tex]

[tex]-4 = \frac{-2 + y_2}{2}\\\\-8 = -2 + y_2\\\\-8 + 2 = y_2\\\\-6 = y_2\\\\\mathbf{y_2 = -6}[/tex]

Therefore, using the midpoint formula, the coordinates of endpoint H are (4, -6).

Learn more about midpoint formula on:

https://brainly.com/question/13115533

Curtis has started to bike every day. His goal is to ride 16.5 kilometers each day. He bikes of that distance on Monday. He bikes 3.5 fewer
kilometers on Tuesday than he did on Monday.
How many kilometers did Curtis bike on Monday and Tuesday combined? Enter the answer in the box.
kilometers
help

Answers

Answer:29.5 kilometers

Step-by-step explanation: 16.5-3.5=13 then you add 13 and 16.5

The solution is: Eric biked total 1.875 Km.

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

On Monday, Eric biked = 1 Km 125 m

                                      = 1.125 Km

On Tuesday, Eric biked = 1.125 Km - 375 m

                                      = 1.125 - 0.375 Km

                                      = 0.75 Km

So, Eric biked on both day

=1.125 + 0.75

= 1.875 Km

Hence, Eric biked total 1.875 Km.

Learn more about unitary method here:

brainly.com/question/22056199

#SPJ2

complete question:

Eric biked 1 kilometer 125 meters on Monday. on Tuesday, he biked 375 meters less than on Monday how far did he bike both days

Solve


5 + 3 ( x - 1 ) = 5x - 6​

Answers

The answer is x=4

5+3(x-1)=5x-6
Do the parentheses
5+3x-3=5x-6
Combine like terms
3x+2=5x-6
Subtract 3x to both sides
2=2x-6
Add 6 to both sides
8=2x
Divide by 2 on both sides
4=x

If the first 5 terms of an infinite geometric sequence are 100, 60, 36, 21.6, and 12.96, then the sum of all the terms in the sequence is ______

Answers

Answer:

Step-by-step explanation:

r=60/100=0.6<1

[tex]S_{\infty} =\frac{a}{1-r} \\=\frac{100}{1-0.6} \\=\frac{100}{0.4} \\=\frac{1000}{4} \\=250[/tex]

LAST ATTEMPT MARKING AS BRAINLIEST!! ( graph the image of the figure using the dilation given )

Answers

Step-by-step explanation:

follow the steps in the picture. I've started it for you all you need to do is finish

a dogs hair grew 2 1/2 inches in 12 1/2weeks how long will the hair grow in 1 week?

Answers

Answer:

0.2 inches

Step-by-step explanation:

12.5 weeks = 2.5 inches

1 week = p inches

Cross multiply

12.5p = 2.5

Divide both sides by 12.5

p = 2.5 / 12.5

p = 0.2 inches

Hence, the length grown in 1 week is 0.2 inches

Hope I Helped You:)

Please help me!! I don't understand
No linksssss

Answers

Answer:

thanks haahhahahaha

Step-by-step explanation:

Using y = 1 − 2x, plot the ordered pairs from the table. Then graph the function represented by the ordered pairs and tell whether the function is linear or nonlinear.
Helppp plzz due in 20 min

Answers

I think therefore its a linear function

Simplify fully
x2 - 9
3x2 + 8x - 3
+
X-3
x+2

Answers

(-3x³+2x²+4x+24) (x-2)

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

8x

Are these shapes similar?
yes or no ​

Answers

Answer:

I’d say yes.

If you stretched the second shape then I think both shapes would look similar.

Yes ASA! so they are similar

What’s the y-intercept
Y-14=6(x-2.5)

Answers

Set x=0 to find y-int
Y-14=6(-2.5)
Y=14-15
Y=-1

Answer:

[tex]y=-1[/tex]

Step-by-step explanation:

[tex]y-14=6(x-2.5)[/tex]

[tex]y-14=6(0-2.5)[/tex]

[tex]y-14=6(-2.5)[/tex]

[tex]y-14=-15[/tex]

[tex]y=-1[/tex]

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