Mathematics High School

Given the following graph, what is the axis of symmetry?
a. y=2
b. y=-3
c. x=-3
d. x=2

Given The Following Graph, What Is The Axis Of Symmetry?a. Y=2b. Y=-3c. X=-3d. X=2

Answers

Answer 1

Answer:

D

Step-by-step explanation:

the axis of symmetry is also the x value for the vertex.

The vertex in the graph is (2, -3) so the x = 2.

Answer 2

The equation of the vertical line will be x = 2. Then the correct option is D.

What is the axes of symmetry?

If a line intersect the shape and the shape look identical on both sides of line, then the line is known as axis of symmetry.

The equation of a quadratic function, of vertex (h, k), is given by:

y = a(x – h)² + k

where a is the leading coefficient.

From the graph, the vertex of the parabola is at (2, -3).

Then the equation of the parabola will be

y = a(x – 2)² – 3

The parabola is passing through (1, 0) and (3, 0), then the leading coefficient will be

 0 = a(1 – 2)² – 3

 a = 3

Then the equation of the parabola will be

y = (3/4)(x – 2)² – 3

The parabola is symmetric about the vertical line.

Then for the vertical line, the value of (x – 2) will be zero.

Then the equation of the vertical line will be

x – 2 = 0

      x = 2

Thus, the equation of the vertical line will be x = 2.

Then the correct option is D.

More about the axes of symmetry link is given below.

https://brainly.com/question/4348533

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Given The Following Graph, What Is The Axis Of Symmetry?a. Y=2b. Y=-3c. X=-3d. X=2

Related Questions

|Calculate the midpoint (-5,5), K(-3,-2)

Answers

Answer:

(-4,1.5)

Step-by-step explanation:

Given :-

Two points (-5,5) and (-3,-2)

And we need to find out the midpoint of the two points. The midpoint of two points is given by the ,

[tex]:\implies[/tex] Midpoint =( x1+x2/2 , y1+y2/2)

[tex]:\implies[/tex] Midpoint =( -5-3/2 , 5-2/2)

[tex]:\implies[/tex] Midpoint =(-8/2,3/2)

[tex]:\implies[/tex] Midpoint = (-4 , 1.5)

Hence the midpoint of the two points is (-4,1.5) .
Explaination :

Here we would be using the midpoint formula to find the co-ordinates of the line segment joining the two given points.

Given points,

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

★ Midpoint of two points:-

[tex]\boxed{ \sf{M \: = \: \dfrac{x_1 \: + \: x_2 }{2} \: , \: \dfrac{y_1 \: + \: y_2 }{2}}} \: \pink\bigstar[/tex]

★ We have :

x1 = -5 y1 = 5 x2= -3 y2 = -2

★ Putting the values :

Refer the attachment.Additional Information :

★ Centroid of a triangle :-

[tex]\boxed{ \sf{Centroid \: = \: \dfrac{x_1 \: + \: x_2 \: + \: x_3}{3} }} \: \pink\bigstar[/tex]

★ Distance Formula :-

[tex]\huge \large \boxed{\sf{{d \: = \: \sqrt{(x _{2} - x _{1}) {}^{2} \: + \: (y _{2} - y _{1}) {}^{2} }}}} \: \red\bigstar[/tex]

A holiday park is digging a swimming pool.
The volume of earth to be removed is 120m^3.
A mechanical digger can remove 0.15m^3 of earth with each scoop.
a) How many scoops will be needed to remove all the earth?
Please it’s urgent!

Answers

I think it’s A
Hope this helps:)

Which number could be included in Group B ​

Answers

Answer:

C

Step-by-step explanation:

Just did the test


What is the area of this tile? Please help!

Answers

find the equation its something like 10x6x8

What is the sum of all interior angles of a regular hexagon? A. 120° B. 360° C. 540° D. 720°

Answers

d-720

because 120x6 =720

what is the volume of the cube shown?

Answers

Answer:

11 25/64

Step-by-step explanation:

you do 2 1/4 times itself 3 times.

What is the area of this triangle? I need help!! pleaseee

Answers

Answer:72

Step-by-step explanation: 9x8 =72

please help!!

GE = ___ degrees

Answers

Answer:

90°

Step-by-step explanation:

NE=90° and NG=180° (<'s on a str. line)

NG=NE+GE

180°=90°-GE

GE=180°-90°

GE=90°

The volume of a rectangular prism is 48 cubic centimeters. The volume of a similar rectangular prism is 6 cubic centimeters.
What is the scale factor for the rectangle?
a. 8
c. 4
b. 6
d. 2

Answers

The answer is a.) 8 6:48 = 1:8

Need answer for only number 15! please help!

Answers

B)132 and 66
Explain

What is the measure, in degrees, of angle x?

Answers

Answer:

121°

Step-by-step explanation:

they're basically the same

Answer:

121°

Step-by-step explanation:

Theorem of vertical angles state that the opposite angles formed by two intersecting lines are congruent.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

imagine paying attention in class

Answers

ikr smhhsjbddusbssddbd

Helpppppppppppppppppp
Pppppo

Answers

Answer:

(2 * L)+(2 * W)

Step-by-step explanation:

The ratio of boys to girls in a gym class is 5:3. There are 27 girls in the class. How many boys are in the class?

Answers

Answer:

There are 45 boys in the gym class.

Step-by-step explanation:

Set up an equation:

Variable x = number of boys in the class

5/3 = x/27

Cross multiply:

5 × 27 = 3 × x

135 = 3x

Divide both sides by 3

45 = x

Check your work:

5/3 = 45/27

5 × 27 = 3 × 45

135 = 135

Correct!

28/10 simplify fraction

Answers

28/10 simplified is 2 4/5

Preform the indecated operation 1/3x6/7

Answers

Answer:

0.257

Step-by-step explanation:

Find the area of a circle having a circumference of 34pi Round to the nearest tenth. Use 3.14 for pi.

Answers

Answer:

the answer is 76.5

Step-by-step explanation:

Area formula= A= π r^2

Circumference formula= 2 π r

What is the diameter of a cone with height 8 m and volume 150 pi m3 ?
A. 7.5 m
B. 5V3 m
o C. 7.573 m
D. 15 m

Answers

Answer:

V = pi*r^2*h

V = 150 m^3

h = 8 m

150 = pi*r^2*8

Solve for r (the radius) then multiply by 2 to obtain the diameter.Only, this is a cone, not a cylinder.

V = 1/3 pi r^2 h

Diameter of the cone is 15 m. So, option D is correct.

What is meant by solid shape ?

Solid shapes are defined as the three-dimensional objects that are described by the three dimensions length, breadth and height.

Here,

Volume of the cone is given by,

 V = 150[tex]\pi[/tex] m³

Height of the cone, h = 8 m

We know, the equation for the volume of a cone is,

V = 1/3[tex]\pi[/tex]r²h

where r is the radius and h is the height of the cone.

So,

(1/3) [tex]\pi[/tex]r²h = 150[tex]\pi[/tex]

r²x 8 = 3 x 150 = 450

r² = 450/8

r² = 56.25

r = 7.5 m

Therefore, diameter of the cone,

d = 2r

d = 2 x 7.5

d = 15 m

Hence,

Diameter of the cone is 15 m.

To learn more about solid shapes, click:

https://brainly.com/question/22731242

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What is the diameter of the circle

Answers

Answer:

8.4 is the answer and the circumference is 26.4

What is the value of the expression 6 3/4 ( - 11.5) ? Explain why your answer is positive or negative.

Answers

Answer:

-77.625

Step-by-step explanation:

Covert 6 3/4 Mix it with decimal Which is 6.75,

then calculate Times this 6.75 by (-11.5). and we will get

- 77.625 ( Answer)

?200 <?
O 11 and 12
0 12 and 13
O 13 and 14
0 14 and 15

Answers

Answer: 14 and 15

Step-by-step explanation:

The square root of 200 is 14.1421356237.

14< 14.1421356237 < 15

Is the relationship linear,exponential, or neither ?

Answers

ANSWER:

B

Step-by-step explanation:

Help I need the answer dont send NO FILE only answer if you know it step by step explanation

Answers

Step-by-step explanation:

B (-8,-6)

C (-10, -6)

D (-10,2)

E (-8,2)

El valor numérico de la expresión 〖P(y)=y〗^2-7y+10 para y=2 es: a. P(2)=9 b. P(2)=0 c. P(2)=-2 d. P(2)=-5

Answers

Answer:

Opción b, P(2) = 0

Step-by-step explanation:

Tenemos la expresión:

P(y) = y^2 - 7*y + 10

Para encontrar el valor P(2), simplemente debemos remplazar todas las "y" en la expresión de arriba por el valor 2, asi obtenemos:

P(2) = 2^2 - 7*2 + 10 = 4 - 14 + 10 = (4 - 14) + 10 = -10 + 10 = 0

P(2) = 0

La opción correcta es b.

Which equation describes the relationship shown in the table?
Items Sold

A- p=2i
B- i=2p
C- p=i+5
D- i=p+5

Answers

Answer:

A

Step-by-step explanation:

i = items sold

p = profit

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A bin of winter hats on clearance contains 6 green caps, 7 blue caps, and 9 red caps If you pick one without looking, what is the total number of outcomes? Answer: 1 Part B What is the probability that the cap will be green? ​

Answers

Answer:

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Find the perimeter of the figure to the nearest hundredth.

Answers

Answer: 90.75 mm

Step-by-step explanation:

Given

The radius of the hemisphere is 16 mm

length of the inclined sides are 20 mm

The perimeter of the figure is the sum of the length of two inclined sides and a semi-circle circumference

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

y = 3/4x + (-2)

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Answers

The answer is p^10.
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