The vertex of this parabola is at (-5, 4). Which of the following could be its
equation?

Answers

Answer 1

Answer:

A. y = -(x + 5)^2 + 4

Step-by-step explanation:

After a small online search, I've found that the options are:

A. y = -(x + 5)^2 + 4

B. y = -(x - 5)^2 + 4

C. y = -(x + 5)^2 - 4

D. y = -(x - 5)^2 - 4

For a quadratic equation with a vertex at the point (h, k) is written as:

y = a*(x - h)^2 + k

Where a is the leading coefficient.

So, if here we have the vertex at (-5, 4)

y = a*(x - (-5))^2 + 4

y = a(x + 5)^2 + 4

Then the correct option is the first one, where a = -1, then the correct option is A.


Related Questions

Find the measure of the major arc

Answers

Answer:

Step-by-step explanation:

If the minor arc is 133, the major arc is going to be

Major arc = 360 - Minor arc

Minor arc = 133

Major arc = 360 - 133

Major arc = 227

Does this make sense? It should. If you put a line from C to A then extend it until it hit the circumference, you would get a diameter which is a 180o angle. The major arc through D is greater than 180. So 227 is a reasonable answer.

A woman is trying to remove holiday decorations from the roof of her house by climbing a ladder. The height of her house is 24 feet, and the distance she has to travel on the ladder is 30 ft. How far away is the ladder from the house?

Answers

Answer:

18 ft

Step-by-step explanation:

We are to determine the base given the hypotenuse and length.

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

30²  = 24² + b²

900 = 576 + b²

= 900 - 576

b²  = 324

square root = 18

What is the value of x in the solution to the system of equations shown???
-7
1.6
2.4
4

Answers

Answer:

x = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

7x + y = 14

-2x - y = 6

Step 2: Solve for x

Elimination

Combine 2 equations:                                                                                     5x = 20[Division Property of Equality] Divide 5 on both sides:                                  x = 4

HELP PLEASE



Work out the size of angle x.

Answers

Answer: its 180 , because it dont matter if its up or side .

Answer:

13°

Step-by-step explanation:

the lines are parallel so

the angle above 85° is also 85° (vertical angles)the other angle in the triangle is 82° (180 - 98)

82 + 85 = 167

167 - 180 = 13

x = 13°

bill changes £450 from his bank to $729 what exchange rate did he get?

Answers

Answer:

$1.62

Step-by-step explanation:

You want to estimate the number of students in your school who support extra funding for the history club. You survey every ninth student who enters the
school.
Determine whether the sample is based or unbiased

Answers

Answer:

unbiased

Step-by-step explanation:

it would be biased if you lets say survey the history club kids

True or False: A method of creating a geometric figure that is mathematically precise by using a compass and
straightedge is called drawing or copying.

Answers

Answer:

True

Step-by-step explanation:

I have to write more but its true

If x=10 what is the value of 4(x-2)


A.48

B.32

C.38

D.8

Answers

Answer:

[tex]b. \: \: 32[/tex]

Step-by-step explanation:

[tex]4(x - 2)[/tex]

[tex]4(10 - 2)[/tex]

[tex]4(8)[/tex]

[tex]32[/tex]

Hope it is helpful...

PLEASE, PLEASE, PLEASE HELP ASAP!!!

A car salesperson earns a monthly salary of $1000 per month plus $150 for each car sold. The equation y = 150x + 1000 represents the total monthly salary. Graph the equation using the slope and y-intercept.​

Answers

Answer:

There is the graph of money made to cars sold

The Graph is provided in the below image.

How to find the graph of an equation using slope and y-intercept?

Slope and y-intercept are used to graph an equation in the following ways:

The equation y = mx + b's y-intercept is equal to b.Draw a y-intercept plot. The key message is (0, b).To solve the equation y = mx + b, get the slope=m.Rise above from (0,b) by m units and to the right by 1 unit.With your line, join those two spots together.

How to solve it?

To solve the question we follow the steps in the given instructions.

The intercept is 1000Plot (0,1000)The slope is 150Make a rise of 150 units upwards and a run of 1 unit to the right. That gives our second point on the line (1,1150)We then join our line to get the required graph.

Learn more about graphs here-

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1 tàu hỏa đi từ A đến B với quãng đường là 40km . Khi đi đến B , tàu dừng lại 20 phút rồi đi tiếp 30km đến C với vận tốc lớn hơn vận tốc khi đi từ A đến B là 5km/h . Tính vận tốc của tàu khi đi trên quãng đường AB . Biết thời gian kể từ khi tài xuất phát từ A đến khi tới C hết tất cả 2gio

Answers

Answer:

The speed from A to B is 40 km/h.

Step-by-step explanation:

Distance from A to B = 40 km

Distance from B to C = 30 km

Speed from A to B is v km/h

Speed fro B to C is v + 5 .

total time, t = 2 hours

Stopping time at B = 20 minutes

Let the time from A to B is t'.

[tex]t'=\frac{40}{v}[/tex]

Let the time from B to C is t''.

[tex]t''= \frac{30}{v+5}[/tex]

The total time is

[tex]\frac{40}{v}+\frac{30}{v+5}+\frac{20}{60}=2\\\\\frac{40 v + 200 + 30 v}{v^2 + 5 v}=\frac{10}{6}\\\\420 v + 1200 = 10 v^2 + 50 v\\\\10 v^2 -370 v - 1200 = 0 \\\\v^2 - 37v - 120 = 0 \\\\v^2 - 40 v + 3 v - 120 = 0 \\\\v(v - 40) + 3 (v - 40) = 0\\\\(v - 4)(v + 3) = 0\\\\v = 40 km/h or - 3 km/h[/tex]

Speed cannot be negative so the speed from A to B is 450 km/h.

Which of the following sets of numbers could represent the three sides of a

45-45-90 triangle?


1, 1, square root of 2

1, square root of 2 space comma end root square root of 3

1, square root of 3, 2

1, square root of 2 , 2

Answers

Answer:

1, 1, [tex]\sqrt{2}[/tex]

Step-by-step explanation:

using pythagorean theorem:

1² + 1² = [tex]\sqrt{2}[/tex]²

1 + 1 = 2

2 = 2

Which is an equation of the inverse of y=3/2x?

Answers

Answer:

y

=

3

2

x

Rewrite in slope-intercept form.

Tap for more steps...

y

=

3

2

x

Use the slope-intercept form to find the slope and y-intercept.

Tap for more steps...

Slope:  

3

2

y-intercept:  

(

0

,

0

)

Any line can be graphed using two points. Select two  

x

values, and plug them into the equation to find the corresponding  

y

values.

Tap for more steps...

x

y

0

0

2

3

Graph the line using the slope and the y-intercept, or the points.

Slope:  

3

2

y-intercept:  

(

0

,

0

)

x

y

0

0

2

3

image of graph

Step-by-step explanation:

Which of the following will form the composite function G(F(x)) shown
below?
G(F(x)) = 7x^4-2x^2-1

Answers

Answer:

F(x)=x^2 and G(x)=7x^2-2x-1

Step-by-step explanation:

I have to fill in characters for the step by step explanation so have fun reading the following Junk. KEEp wasting your time Dummy with

I NEED HELP WITH THIS PLEASE ITS DUE TONIGHT

Answers

Answer:  6.9

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

Work Shown:

(tangent)^2 = (whole secant)*(external secant)

(TU)^2 = (RT)*(ST)

(TU)^2 = (RS+ST)*(ST)

(TU)^2 = (8+4)*(4)

(TU)^2 = 48

TU = sqrt(48)

TU = 6.928203

TU = 6.9

For more info, you can search out "secant tangent chord", or something similar, and you should get to a page that describes the formula of what's going on here. This should match up fairly similarly to what lesson 3.09 is talking about.

Answer: 9.8

TU^2= TS x TR

TU^2= 8 x 12

TU= sqrt(96) = 9.79

Help me please Help me please Help me please

Answers

Answer:

[tex]y = x + 7[/tex]

Step-by-step explanation:

[tex]y = gx + c[/tex]

[tex]gradient = \frac{y}{x} = \frac{1}{1} = 1[/tex]

[tex]where \: the \: line \: meet \: the \: y-axis = 7[/tex]

a) Find the model value of the given data:
2,3,6,5,4,3,4,6,3​

Answers

Answer:

9

Step-by-step explanation:

bcs 3 is the mode you do 3+3

Answer:

3

Step-by-step explanation:

3 is the model value of the given data because it repeats maximum number of time.

1. A square is lengthened by 6 units in one direction and by 5 units in the other
direction to make a rectangle, as shown in the diagram. The length of the side
of the original square is x units. What is the area of the whole new rectangle?

Answers

Answer:

a = x² + 11x + 30

Step-by-step explanation:

a = (x + 5)(x + 6)

multiply each term in the first set of parenthesis by each term in the second

a = x(x + 6) + 5(x + 6)

a = (x² + 6x) + (5x + 30)

combine like terms

a = x² + 11x + 30

PLEASE HELP ME!! this is due tonight and i really need help with this so i can do other assignments

explaining your answer = brainliest/ five stars

the area of this square = ___ cm

Answers

Answer:

64cm² I think :) if u get it wrong dont blame it on me.

Answer:

64 cm^2

Step-by-step explanation:

The area of a square can be calculated by A = s^2 (Area = side squared aka the side multiplied by itself)

A = s^2

= 8^2 (8 x 8)

= 64 cm^2

The graph shown below represents the rate at which water drains from a tank once the drain is opened which statement correctly describes the graph


A. The water is draining at constant rate of 1/2 gallon per minute, and the tank contained exactly 14 gallons when the drain opened

B. The water is draining at a constant rate of 2 gallons per minute,and the tank contained exactly 14 gallons when the drain was opened

C. The water is draining at a constant rate of 5 gallons per minute, and the tank contained exactly 14 gallons when the drain was opened

D.the water is draining at a constant rate of 14 gallons per minute, and the tank contained exactly 1/2 gallon when the drain was opened

Answers

Answer:

A

Step-by-step explanation:

The slope is -1/2 and the y-intercept is 14

Can someone please help me with this I’m stuck on it

Answers

Answer:

B and C. if you got them wrong let me know :3

Please help me only serious answers ☺️

Answers

Answer:

Parallelogram

Result

Area = b × h

= 5.5 × 11

= 60.5 feet2

60.5 cm²
yes it should be 60.5 since your base is 11 and your height is 5.5 so you multiply both, and you get 60.5, A=60.5

PLEASE HELP MEE pleaseee​

Answers

Answer:

x = 15 and y = 7

Step-by-step explanation:

x = 2y + 1

x + y - 8 = 14

Let's substitute the value of x in the second equation:

(2y + 1) + y - 8 = 14

3y -7 = 14

3y = 14 + 7

3y = 21

y = 21/3

y = 7

And now you substitute the value of y in the first equation:

x = 2•7 + 1

x = 14 + 1

x = 15

how to find the constant of proportionality on a graph

Answers

Since k is constant (the same for every point), we can find k when given any point by dividing the y-coordinate by the x-coordinate.

For triangle ABC C = 90 Side AC = 13.5 Side BC = 8.6 Find the measure of angle B​

Answers

Answer:

57.5°

Step-by-step explanation:

For triangle ABC C = 90 Side AC = 13.5 Side BC = 8.6 Find the measure of angle B​

We solve using the Trigonometric function of Tangent

tan θ = Opposite/Adjacent

θ = Angle B

Opposite = Side AC 13.5

Adjacent = Side BC = 8.6

Hence:

tan θ = 13.5/8.6

θ = arc tan (13.5/8.6)

θ = 57.501354056°

Approximately = 57.5°

Therefore, Angle B = 57.5°

A squirrel moved 200 meters in 7,200 seconds. What was the speed of the squirrel in meters per hour? *

Answers

Answer:

100 meters per hour.

Step-by-step explanation:

7,200 seconds / 60 = 120 minutes

120 minutes / 60 = 2 hours

200 meters / 2 hours = 100 meters

Since the squirrel moved 200 meters in 2 hours, the squirrel moved 100 metres per hour.

lisa had wood that was 12 1/2 feet long. she cut it into 5 pieces that are equal in leangth.how long is each piece of wood?

Answers

Answer:

2 1/2

Step-by-step explanation:

divide in 5 then divide half in 5 also

Answer:

2,5

Step-by-step explanation:

The length of a piece of wood is:

12 ½ : 5 = 5/2 = 2,5

Can someone helps mezzzz

Answers

Answer: x=55

180-125=55

Explanation: Supplementary angles are equal to 180°, and vertical angles are congruent.

What is 13 divided by 1/4?
Explain how you got your answer.

Answers

Answer:

52

Step-by-step explanation:

13 divide 1/4 is the equivilent to 13 x 4

Answer:

52

Step-by-step explanation:

13/(1/4)

when a fraction is in the denominator you inverse the fraction and multiple by the numerator

so it would be 13*(4/1) = 13*4 = 52

Solve for x.



A. 9
B. 42
C. 10
D. 12

Answers

Answer:

✰According to angle property between tangent and secant✰

[tex](4x-8)=1/2(80)[/tex]

[tex]4x-8=40[/tex]

[tex]4x=40+8[/tex]

[tex]4x=48[/tex]

[tex]x=48/4[/tex]

[tex]x=12[/tex]

〖D) 12〗

☁☁☁☁☁☁☁

hope it helps...

The value of x is 12

What is Tangent and Secant Properties of a Circle?

Circle is the collection of all points in a plane at a constant distance from a fixed point. The fixed point is known as the centre, and the constant distance is the circle’s radius. A line that intersects a circle in two distinct points is called a secant to the circle.

A line meeting a circle only in one point is called a tangent to the circle at that point. In this article, we will talk about the relative position of the circle and a line in the same plane. We will also examine the existence of tangents to a circle and their properties.

Using angle property between tangent and secant

(4x - 8) = 1/2*80

4x- 8 = 40

4x= 48

x= 12

Learn more about tangent here:

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MARKING BRAINLIEST HELP

Answers

Answer:

i think A

Step-by-step explanation:

sorry if im wrong

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