Without writing the equation (y-4)2 = 9(x-4) in the standard form, state whether the graph of this equation is a parabola,circle, ellipse, or hyperbola.

A. parabola

B. ellipse

C. hyperbola

D. circle

Answers

Answer 1

9514 1404 393

Answer:

  A. parabola

Step-by-step explanation:

The curves ellipse, circle, and hyperbola are formed by a relation between the squares of the variables. Here, the y-variable is squared, but the x-variable is not. This equation describes a parabola.

_____

Additional comments

Its vertex is at (4, 4) and it is compressed horizontally by a factor of 9.

__

The hyperbola equation is the difference of squares; the circle and ellipse equations involve the sum of squares. If the variable coefficients are the same, then the sum of squares equation will describe a circle; an ellipse otherwise.

Without Writing The Equation (y-4)2 = 9(x-4) In The Standard Form, State Whether The Graph Of This Equation

Related Questions

Solve the equation: 10x – 11 = 7x + 22

Answers

10x - 11 = 7x + 22

10x - 7x = 22 - 11

3x = 11

x = 11/3

x = 3.66

_____

RainbowSalt2222 ☔

Solve: 2 x + 5y + 5 = 0
2y=3x+17.
Find x and y

Answers

Answer:

x = -5 and y = 1

Step-by-step explanation:

a) 2x + 5y +5 = 0

a) 2x + 5y = -5

b) 2y = 3x + 17

b) y = 3/2x + 17/2

a) 2x + 5(3/2x + 17/2) = -5

a) 2x + 15/2x + 85/2) = -5

a) 19/2x = -5 - 85/2

a) 19/2x = -95/2

a) x = (-95/2) / (19/2)

x = -5

b) 2y = 3(-5) + 17

b) y = 2/2

y = 1

What is the surface area of these cuboids?

Answers

Answer:

To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

At Ralphs 5 tomatoes cost $1.80.
At Vons 3 tomatoes cost $1.14.
Which is the better buy?

Answers

Answer:

I think 5 tomatoes cost $1.80

Answer:

Ralphs.

Step-by-step explanation:

Ralphs:

5 tomatoes = $1.80

    1 tomato = $0.36

Vons:

3 tomatoes = $1.14

    1 tomato = $0.38

Hence, Ralphs would be a better buy.

Help Quick Please i beg

Answers

Answer:

Molly bought 6 erasers.

Step-by-step explanation:

It says Molly spent $18 on a magazine and some erasers. That means she only bought 1 eraser.

18 - 6 = 12.

12 / 2 =6.

The quotient of a number and the sum of the number and eight. Can someone please help me with translating that!! it'd mean a lot!!!

Answers

Answer:

6

——

x+8

Step-by-step explanation:

which expressions are equivalent to 4^-2 times 7^-2

Answers

Step-by-step explanation:

[tex] = {4}^{ - 2} \times {7}^{ - 2} [/tex]

[tex] = {(4 \times 7)}^{ - 2} [/tex]

[tex] = {28}^{ - 2} [/tex]

[tex] = \frac{1}{ {28}^{2} } [/tex]

what is –5(–2) = i need help. will give brainlist
to corect awser.

Answers

Answer:

10

Step-by-step explanation: it'd be 10 because you're multiplying them and - by a - equals a positive!

[tex]-5(-2) = 10[/tex]

Compared to a model of 9/12 , a model of 3/4 will show -------------(A)3 Times as many B)1/3 times as many D)The same number of) parts that are each-----------(A)The same B)3 times the) size.
please help i need to get this done..;_;

Answers

9514 1404 393

Answer:

  B, B

Step-by-step explanation:

A model of 9/12 will have 12 parts, 9 of which are shaded.

A model of 3/4 will have 4 parts (1/3 as many), 3 of which are shaded. Each part of this model will correspond to 3 parts of the 9/12 model. Hence, each part is 3 times the size of a part in the 9/12 model.

  B) 1/3 times as many

  B) 3 times the size

The stem and leaf diagram shows the ages of people in a cinema.
2 1 3
Key: 2 1 represents 21 years
3 0 2 2 5
4 3 4 6 8 9 9
5 0 2 2 3 5
a) What is the range of ages? Iyears
b) How many people are represented in the diagram?
people
c) What is the median age?
years old

Answers

Answer:

A 34

B 17

C 47

Step-by-step explanation:

Find the value of x, then find EF.
X=
EF=

Answers

Hi I hope u have a great time ...

CD = FE

thus :

[tex]3x + 5 = 7x - 39[/tex]

Add both sides 39

[tex]3x + 5 + 39 = 7x - 39 + 39[/tex]

[tex]3x + 44 = 7x[/tex]

Subtract both sides 3x

[tex]3x - 3x + 44 = 7x - 3x[/tex]

[tex]44 = 4x[/tex]

Switch sides

[tex]4x = 44[/tex]

Divide both sides by 4

[tex] \frac{4x}{4} = \frac{44}{4} \\ [/tex]

[tex]x = 11[/tex]

There u go have a great day ♡

(1000÷1)×10-5000 Giving Brainliest​

Answers

5,000 is the answer to the equation

What is the range of the function y= 2e7-1?

Answers

Answer:

The range of y = ex is all numbers greater than 0, so since the function has been shifted up 1, the new range of the function is all numbers greater than 1. Since the argument of any log must be greater than 0, (x-1)/2 > 0. Thus x - 1 > 0, so x > 1

Answer:

defines the set of values [ 1, 2, 3, 4, 5 ], and the range

1 : 3 : 5

defines the set of values [ 1, 4 ].

Although a range constant specifies a row vector, Octave does not normally convert range constants to vectors unless it is necessary to do so. This allows you to write a constant like 1 : 10000 without using 80,000 bytes of storage on a typical 32-bit workstation.

A common example of when it does become necessary to convert ranges into vectors occurs when they appear within a vector (i.e., inside square brackets). For instance, whereas

x = 0 : 0.1 : 1;

defines x to be a variable of type range and occupies 24 bytes of memory, the expression

There are multiples of 6 and 8
respectively listed below. Write
the least common multiple of 6
and 8 in the box.
factor
6, 8, 12, 16, 18, 24, 30, 32,36,40,42,48

Answers

Answer:

16

Step-by-step explanation:

if you skip count the 6×3 & 8×2 you will get 16

Answer:

The least common multiple is 16

8.
Write an equation in point-slope form for the line through the given point with the given slope.

(4, –6); m = 3/5

A. y - 6 = 3/5 (x+4)

B. y - 4 = 3/5 (x+6)

C. y + 6 = 3/5 x-4

D. y + 6 = 3/5 (x-4)

Answers

Answer:

D. y + 6 = 3/5 (x-4)

Step-by-step explanation:

Use the given slope and point to substitute into the point-slope formula  y − y 1 = m ( x − x 1 ) .

Slope-intercept form:  y = 3 /5 x − 42 /5

Point-slope form:  y + 6 = 3 /5 ⋅ ( x − 4 )

Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 29 problems. Each problem is
worth either 5 points or 2 points. Write a system of equations that can be used to find how many problems of each
point value are on the test.
Let x be the number of questions worth 5 points and let y be the number of questions worth 2 points.
O x + y = 29, 5x + 2y = 100
O x + y = 100, 5x + 2y = 29
O 5x + y = 29, 2y + x = 100
O 2x + y = 100, 5y + x = 29
h

Answers

Answer:

x + y = 29, 5x + 2y = 100 is the answer

Step-by-step explanation:

it IS the answer so the next person, DON'T TRY TO TAKE IT DOWN!!!!!!!

can anyone heelp me plzzzz

Answers

Answer:

1

Step-by-step explanation:

1 because we need to round down

i need help on this if anyone doesn't mind also very bad camera​

Answers

Answer:

F:20%

Step-by-step explanation:

Hope it helps

A tournament has 187 athletes. There are 91 more girls than boys. Let X represent the number of girls and let Y represent the number of boys. Write the system of equations that represents this situation

Answers

Answer: Need more info

Step-by-step explanation:

The system of equations that represents this situation will be;

⇒ 2Y + 91 = 187

What is linear expression?

A linear expression is an algebraic expression where each term is either a constant or a variable raised to the first power.

Given that;

Total athletes in a tournament = 187

And, In a tournament 91 more girls than the boys.

Now,

Let X represents the number of girls.

Let Y represents the number of boys.

Since, There are 91 more girls than the boys.

So, We can formulate;

X = 91 + Y

And, There are 187 athletes in a tournament.

So, We can formulate;

X + Y = 187

Substitute X = 91 + Y in above equation as;

91 + Y + Y = 187

91 + 2Y = 187

Thus, The system of equations that represents this situation will be;

⇒ 2Y + 91 = 187

Learn more about the system of equation visit:

https://brainly.com/question/28586904

#SPJ5

15 is 25 % of what number?

Answers

Answer:

60

Step-by-step explanation:

dani uses cotton balls to make snow men for an art project. dani has 14 cotton balls, and she uses 3 cotton balls to make each snow man.dani makes as many as she can.how many snowmen does dani make

Answers

Using the appropriate arithmetic operation, the number of snowmen Danny makes is 4

Total number of cotton balls = 14

Number of cotton balls per snowmen = 3

Creating a proportional relationship thus :

3 cotton = 1 snowman

14 cotton balls = x

Cross multiply

3x = 14

Divide both sides by 3

3x/3 = 14/3

x = 4.667

Hence, the number of snowmen that can be made is 4

Learn more : https://brainly.com/question/25644130

Answer:

4

Step-by-step explanation:

What is another way to write (-2/3)(-2/3)

Answers

ANSWER: 4/9

EXPLANATION: bottom is the same and top two negatives equal a positive...next multiple across and it’s 4/9

Answer:

[tex](-\frac{2}{3}) ^2[/tex]

Step-by-step explanation:

Since -2/3 is getting multiplied twice, we can write this as an expression with an exponent:

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

I hope this helps.

Side Note: If we evaluated the expression we would get 4/9.

[tex]-\frac{2}{3}^2\\\\1\frac{2^2}{3^2}\\\\\frac{4}{9}[/tex]

QUESTION TWO Determine whether or not a constant function can be
(a)one-to-one.
(b)an onto function. [10 marks]​

Answers

Answers:(a) It is never one-to-one(b) It is never onto

=========================================================

Explanation:

The graph of any constant function is a horizontal flat line. The output is the same regardless of whatever input you select. Recall that a one-to-one function must pass the horizontal line test. Horizontal lines themselves fail this test. So this is sufficient to show we don't have a one-to-one function here.

Put another way: Let f(x) be a constant function. Let's say its output is 5. So f(x) = 5 no matter what you pick for x. We can then show that f(a) = f(b) = 5 where a,b are different values. This criteria is enough to show that f(x) is not one-to-one. A one-to-one function must have f(a) = f(b) lead directly to a = b. We cannot have a,b as different values.

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

The term "onto" in math, specifically when it concerns functions, refers to the idea of the entire range being accessible. If the range is the set of all real numbers, then we consider the function be onto. There's a bit more nuance, but this is the general idea.

With constant functions, we can only reach one output value (in that example above, it was the output 5). We fall very short of the goal of reaching all real numbers in the range. Therefore, this constant function and any constant function can never be onto.

A linear function contains the points (-3, -7) and (6,-4). Which of the following points does it also include?
A.(-9,3)
B.(3,-6)
C.(12,2)
D.(9,-3)

Answers

The given points defines a line from which the linear function can be

determined and the included point on the line can be found.

The point also included on the line is D. [tex]\underline {(9, \, -3)}[/tex]

Reasons:

The given points on the linear function are; (-3, -7), (6, -4)

The slope of the line is given as follows;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Therefore, we get;

[tex]Slope, \, m =\dfrac{-4-(-7)}{6-(-3)} = \dfrac{1}{3}[/tex]

The equation of the function is therefore;

[tex]y - (-4) = \dfrac{1}{3} \cdot (x - 6)[/tex]

[tex]y = \dfrac{x}{3} - 6[/tex]

Graphing the above equation on the calculator gives the points;

(-9, -9), (3, -5), (12, -2), and (9, -3)

Therefore;

The point also included on the line is D. [tex]\underline {(9, \, -3)}[/tex]

Learn more here:

https://brainly.com/question/2116490

Tyler’s brother works in a shoe store.

Tyler’s brother earns a commission. He makes 4.5% of the amount he sells. Last week, he sold $500 worth of shoes. How much was his commission? $



The store bought a pair of shoes for $20, and sold it for $55. What percentage was the markup?
%



Tyler’s brother earns $16 per hour. The store offers him a raise—a 3% increase per hour. After the raise, how much will Tyler’s brother make per hour? $
Include the original amount and the raise when calculating your answer for this question.


answer as fast as you can cause i am in class!!!!!

Answers

Answer:

Step-by-step explanation:

4.5%/100 = 0.045

$500*0.045 = $22.5

A: Tyler makes $22.5 in commision

($55-$20)/$20*100 = 175% markup

100%+3%= 103%

$16*103% = $16.48

A: he would be making $16.48/hr

Find the domain and range of the function f(x) = sqrt(2 - x - x ^ 2) .​

Answers

Answer:

See below

Step-by-step explanation:

Given function:

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

As any square root function, its range is all non-negative numbers:

f(x) ≥ 0 or f(x) ∈ [0, +∞)

The domain the x values when the expression under root is non-negative:

2 - x - x² ≥ 0x² + x - 2 ≤ 0(x + 2)(x - 1) ≤ 0- 2 ≤ x ≤ 1

or

x∈ [-2, 1]

what is the value of y?

Answers

Answer:

y = 10

Step-by-step explanation:

2y + 30 and 3y + 20 are known as vertical angles. They are equal to one another.

[tex]2y+30=3y+20\\\\2y+30-2y=3y+20-2y\\\\30=y+20\\\\30-20=y+20-20\\\\10=y[/tex]

Sketch the graph of each line y=-9x-5

Answers

I can’t answer it without a picture of the graph

The function g(x) = x is transformed to obtain function h:
h(x) = g(x) + 1.
which statement describes how the graph of his different from the graph of g?
OA. The graph of h is the graph of g horizontally shifted left 1 unit.
OB.
The graph of h is the graph of g vertically shifted up 1 unit.
Ос.
The graph of h is the graph of g horizontally shifted right 1 unit.
D. The graph of h is the graph of g vertically shifted down 1 unit.
Reset
Next

Answers

Answer:

B. The graph of h is the graph of g vertically shifted up 1 unit.

Step-by-step explanation:



A tower that is 128 feet tall casts a shadow 163 feet long. Find the angle of elevation of the sun to the nearest
degree.
The angle of elevation is
degrees. (Round to the nearest degree.)

Answers

Tan(angle) = opposite/ adjacent

Tan(angle) = 128/163

Angle = arctan(128/163)

Angle = 38.14 degrees

Rounded to nearest degree = 38 degrees.

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