If point S is reflected across the y-axis, what are the coordinates of its reflection image.
A. (2,-3)
B.(-2,3)
C.(3,-2)
D.(-3,2)

If Point S Is Reflected Across The Y-axis, What Are The Coordinates Of Its Reflection Image. A. (2,-3)

Answers

Answer 1

Answer:

D) coordinates of its reflection image is ( -3 , 2) .

Step-by-step explanation:

Given : S ( 3 ,2)  If point S is reflected across the y-axis,

To find : what are the coordinates of its reflection image.  

Solution : We have given S ( 3 ,2).

By the reflection rule over y -axis : (x ,y) →→ ( -x , y) .

Then x = 3 , y = 2

Then coordinates of its reflection image is

(3 , 2 ) →→ ( -3 , 2) .

Therefore,  D) coordinates of its reflection image is ( -3 , 2) .


Related Questions

Solve for the roots in the equation below.

x4 + 3x2 - 4 = 0

Answers

Answer:  x = {1, -1, 2i, -2i}

Step-by-step explanation:

x⁴ + 3x² - 4 = 0

               ∧

             -1 +4 = 3   this works!

(x² - 1)(x² + 4) = 0

x² - 1 = 0     and      x² + 4 = 0

x² = 1          and      x² = -4

x = ±1         and       x = ± 2i

x = 1, -1      and       x = 2i, -2i

One diagonal of a kite is twice as long as the other diagonal. If the area of the kite is 400 square meters, what are the lengths of the diagonals?

Answers

Answer:

20m and 40m

Step-by-step explanation:

The area (A) of a kite is calculated using the formula

A = [tex]\frac{1}{2}[/tex] product of diagonals

Let one diagonal be d then the other diagonal is 2d ( twice as long )

Hence

[tex]\frac{1}{2}[/tex] × 2d × d = 400

d² = 400 ← take the square root of both sides

d = [tex]\sqrt{400}[/tex] = 20

and 2d = 2 × 20 = 40

The diagonals are 20m and 40m in length

Final answer:

The lengths of the diagonals of a kite, where the area is 400 square meters and one diagonal is twice the length of the other, are 20 meters for the shorter diagonal and 40 meters for the longer diagonal.

Explanation:

You asked how the lengths of the diagonals of a kite can be determined given that the area is 400 square meters and one diagonal is twice as long as the other. To find the diagonals, we'll use the formula for the area of a kite, which is Area = (d1 * d2) / 2, where d1 and d2 are the lengths of the diagonals.

Let's denote the shorter diagonal as d, which means the longer diagonal is 2d. Plugging these into the area formula gives us:

400 m2 = (d * 2d) / 2

Multiplying both sides by 2 gives us 800 m2 = d * 2d, which simplifies to 800 m2 = 2d2.

Dividing both sides by 2 gives us 400 m2 = d2. Taking the square root of both sides, we find that d = 20 meters. Hence, the longer diagonal is 2 * 20 meters = 40 meters.

The lengths of the diagonals of the kite are 20 meters and 40 meters.

x/2+3=-5 what does x equal?

Answers

x/2+3=-5

x/2 = -5+3

x/2 = -2

x = -2(2)

x = -4

Answer:

X = - 16

PLEASE RATE AND THANKS ME IF THIS HELPED

Can you help me please

Answers

Answer:

[tex]\large\boxed{A=(120+32\pi)cm^2}[/tex]

Step-by-step explanation:

Look at the picture.

We have the half of circle and a triangle.

The fromula of an area of a circle:

[tex]A_O=\pi r^2[/tex]

r - radius

We have r = 8cm. Substitute:

[tex]A_O=\pi(8)^2=64\pi\ cm^2[/tex]

The formula of an area of a triangle:

[tex]A_\triangle=\dfrac{bh}{2}[/tex]

b- base

h - height

We have b = 8cm + 8cm = 16cm and h = 15cm. Substitute:

[tex]A_\triangle=\dfrac{(16)(15)}{2}=(8)(15)=120\ cm^2[/tex]

The area of the figure:

[tex]A=\dfrac{1}{2}A_O+A_\triangle[/tex]

Substitute:

[tex]A=\dfrac{1}{2}(64\pi)+120=32\pi+120=(120+32\pi)cm^2[/tex]

Billy has been to three more than four times as many baseball games as Brendan. Brendan has been to 11 baseball games. Complete the equation below to find out how many baseball games Billy has been to.

11 x __ + __ = __

Answers

Answer:11x4+3=47

Step-by-step explanation:

Answer:

47

Step-by-step explanation:

11 x 4 + 3 = 47

what value of x makes the equation sin x=cos43​

Answers

Answer:

0.55511330152

Step-by-step explanation:

Answer:

x = 47

Step-by-step explanation:

Using the cofunction identity

cos x = sin(90 - x), hence

cos43 = sin (90 - 43) = sin47

how do you solve this?

3x(x+4)=0​

Answers

Answer:

3x=0 or x+4=0

x=0 or x=−4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3x2+12x=0

Step 2: Factor left side of equation.

3x(x+4)=0

Step 3: Set factors equal to 0.

3x=0 or x+4=0

x=0 or x=−4

What is the degree measure of SRP? Please show work!

Answers

well, we have a missing point of R, but since is part of one of the tangent lines, we can safely assume is the point where the PR of 5 inches is at.

what is the angle at point R? namely the ∡SRP, well, SR is a tangent, RP is a radius line, they both touch/intersect at point R, thus R is the point of tangency for those two, and the point of tangency is always a 90° angle.

1. 8397 divided by 27
2. 9396 by 18
3. 8442 by 14
4. 7854 by 23
5a. 7533 by 34
5b. explain the calculation

Answers

1. 311

2. 522

3. 603

4. 341.47826087

5. 221.558823

5b. All i did was divide the regular way or u could just put it in a calculator?

A princess hat for a costume is shaped like a cone. The base of the cone is 12 in across and the height is 8
in. The slant height of the outside edge, which is unknown, is the hypotenuse of the right triangle formed with
the radius and the height of the cone.
(a) Sketch the princess hat. Label the known lengths as described and label the unknown length as x.
(b) What is the slant height of the outside edge?

Answers

Answer:

Part a) The drawn in the attached figure

Part b)The slant height of the outside edge is [tex]x=10\ in[/tex]

Step-by-step explanation:

Part a) The drawn in the attached figure

Part b) What is the slant height of the outside edge?

we have that

The diameter of the base of the cone is 12 in

so

[tex]r=12/2=6\ in[/tex] ----> the radius is half the diameter

[tex]h=8\ in[/tex]

Applying the Pythagoras Theorem find the slant height x

[tex]x^{2}=r^{2}+h^{2}[/tex]

substitute the values

[tex]x^{2}=6^{2}+8^{2}[/tex]

[tex]x^{2}=100[/tex]

[tex]x=10\ in[/tex]

Help please 2 questions(25 points)

Answers

First one is C and second one is A

Can you help me put these into slope intercept form so I can graph them and if u can find the slope that would be great sry for bad English


1) 20x + 80y=0

2) 30x + 50y-100=0

3) 3x - 15y - 30 =0

Answers

Answer:

Part 1) [tex]y=-(1/4)x[/tex]

Part 2) [tex]y=-(3/5)x+2[/tex]

Part 3) [tex]y=(1/5)x-2[/tex]

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

[tex]y=mx+b[/tex]

where

m is the slope

b is the y-coordinate of the y-intercept

Part 1) we have

[tex]20x+80y=0[/tex]

Simplify

Divide by 20 both sides

[tex]x+4y=0[/tex]

isolate the variable y

Subtract x both sides

[tex]4y=-x[/tex]

Divide by 4 both sides

[tex]y=-(1/4)x[/tex] ------> equation of the line into slope intercept form

[tex]m=-(1/4)[/tex]

[tex]b=0[/tex]

Part 2) we have

[tex]30x+50y-100=0[/tex]

Simplify

Divide by 10 both sides

[tex]3x+5y-10=0[/tex]

isolate the variable y

Subtract (3x-10) both sides

[tex]5y=-(3x-10)[/tex]

Divide by 5 both sides

[tex]y=-(3/5)x+2[/tex] ------> equation of the line into slope intercept form

[tex]m=-(3/5)[/tex]

[tex]b=2[/tex]

Part 3) we have

[tex]3x-15y-30=0[/tex]

Simplify

Divide by 3 both sides

[tex]x-5y-10=0[/tex]

isolate the variable y

Subtract (x-10) both sides

[tex]-5y=-(x-10)[/tex]

Divide by -5 both sides

[tex]y=(1/5)x-2[/tex] ------> equation of the line into slope intercept form

[tex]m=(1/5)[/tex]

[tex]b=-2[/tex]

use the substituition method to solve the system of equation. choose the correct ordered pair 2x+y=8 y= -x+5

Answers

Hello!

The answer is:

[tex]x=3\\y=2[/tex]

Ordered pair: (3,2)

Why?

The substitution method for solving system of equations consists in finding the solution by isolating and substituting each variable value into the given equations, doing that, all the variable value can be found.

So, we are given two equations:

[tex]2x+y=8\\y= -x+5[/tex]

We need to substitute (y) into the first equation,so:

[tex]2x+(-x+5)=8[/tex]

[tex]2x-x+5=8[/tex]

[tex]x+5=8[/tex]

[tex]x=8-5[/tex]

[tex]x=3[/tex]

Now that we know "x" we need to substitute it into the second equation, so:

[tex]y=-(3)+5[/tex]

[tex]y=2[/tex]

Hence,

[tex]x=3\\y=2[/tex]

So, the ordered pair will be: (3,2)

Have a nice day!

Answer:

Ordered pair = (3, 2)

Step-by-step explanation:

We are given the following equations and we are to solve them by substitution method:

[tex]2x+y=8[/tex] --- (1)

[tex]y= -x+5[/tex] --- (2)

Substituting the value of y from equation (2) to (1):

[tex]2x+(-x+5) = 8[/tex]

[tex]2x-x+5=8[/tex]

[tex]x = 8-5[/tex]

x = 3

Substituting this value of x in equation (2):

[tex]y = -(3)+5[/tex]

y = 2

So the ordered pair is (3, 2).


Read the following statement:

Line segment CD is congruent to line segment EF.

Which of the following is an equivalent statement?

EXPLANE HOW YOU GOT IT AND WHY

CD overbar similar to EF overbar

CD overbar equal to EF overbar

CD overbar element to EF overbar

CD overbar congruent to EF overbar

Answers

Here is your answer

d. CD overbar congruent to EF overbar.

REASON:

Since, line segment CD is congruent to line segment EF and im geometry an overbar represents a line segment.

So, we can say that CD overbar means line segment CD and EF overbar means line segment EF.

Hence, the statement is justified.

HOPE IT IS USEFUL

Here is your answer

d. CD overbar congruent to EF overbar.

REASON:

Since line segment CD is congruent to line segment EF and in geometry an overbar represents a line segment.

So, we can say that CD overbar means line segment CD and EF overbar means line segment EF.

Hence, the statement is justified.

hope this helps :)

remember to love urself <3

Joe spends $1.75 every time he buys a snack with his lunch. He has $16.25 to spend. Write an inequality showing how many times (x) that Joe can buy a snack with his lunch.

Answers

Answer:

16.25=1.75x

Step-by-step explanation:

so write it like this to that the bigger number(16.25) is on the left then write the other number(1.75)then put the X by the 1.75

HELP ASAP! GIVING BRAINLIEST!!


∆ABC has A(-3, 6), B(2, 1), and C(9, 5) as its vertices. The length of side AB is
A) (50)^1/2
B) (65)^1/2
C) (105)^1/2
D) (145)^1/2
units. The length of side BC is
A) (50)^1/2
B) (65)^1/2
C) (105)^1/2
D) (145)^1/2
units. The length of side AC is
A) (50)^1/2
B) (65)^1/2
C) (105)^1/2
D) (145)^1/2
units.
∠ABC ≈ °
A) 55.21
B) 85.16
C) 105.26
D) 114.11

Answers

Answer:

AB is A

BC is B

AC is D

Step-by-step explanation:

To find the length of each side, use the formula for the distance between coordinate pairs.

We can find the distance using the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

AB

We then substitute (-3,6) as [tex](x_1,y_1)[/tex] and (2,1) as [tex](x_2,y_2)[/tex].

[tex]d=\sqrt{(2--3)^2+(1-6)^2} \\d=\sqrt{(2+3)^2+(-5)^2} \\d=\sqrt{25+25}\\d=\sqrt{50}[/tex]

BC

We then substitute (2,1) as [tex](x_1,y_1)[/tex] and (9,5) as [tex](x_2,y_2)[/tex].

[tex]d=\sqrt{(9-2)^2+(5-1)^2} \\d=\sqrt{(-7)^2+(4)^2} \\d=\sqrt{49+16}\\d=\sqrt{65}[/tex]

AC

We then substitute (-3,6) as [tex](x_1,y_1)[/tex] and (9,5) as [tex](x_2,y_2)[/tex].

[tex]d=\sqrt{(9--3)^2+(5-6)^2} \\d=\sqrt{(12)^2+(-1)^2} \\d=\sqrt{144+1}\\d=\sqrt{145}[/tex]

Kesha has scored 85 92 84 71 and 94 on her previous five Tess what score did she just she need to receive an excess of the average or mean is 86

Answers

85+92+84+71+94+x /6>86

Multiply both sides by 6

426+x>516

Subtract 426 from both sides

X>90

Juan pulled a red card from the deck of regular playing cards. This probability is 2652 or 12 . He puts the card back into the deck. Will his chance of pulling a red card next time change?

Answers

Answer:

no

Step-by-step explanation:

if he randomly pulls it out it's still the same number of red cards and also the total number of cards as always

can't change

No the answer would be 1/52

if W(4,6) and V(-3,-2) what is the length of VW

Answers

Answer:

[tex]\large\boxed{VW=\sqrt{113}}[/tex]

Step-by-step explanation:

The formula of a distance between two points:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have the points W(4, 6) and V(-3, -2). Substitute:

[tex]VW=\sqrt{(-3-4)^2+(-2-6)^2}=\sqrt{(-7)^2+(-8)^2}=\sqrt{49+64}=\sqrt{113}[/tex]

Brendan needs to answer 0.70 of the test questions correctly to pass the test. What percent is this??

Answers

That would be 70 percent.

Jonael dropped a sandbag from a hot air balloon at a target that is 250 meters below the balloon. At this moment, the sandbag is 75meters below the balloon.
Which of the following expressions represent the distance between the sandbag and the target?
Choose 1 answer:

Answers

Answer:

175 I believe.

Step-by-step explanation:

Final answer:

The distance between the sandbag and the target is 325 meters.

Explanation:

The distance between the sandbag and the target can be calculated by subtracting the distance of the sandbag from the balloon's height from the total distance between the balloon and the target. In this case, the balloon is 250 meters above the target and the sandbag is 75 meters below the balloon. So, the distance between the sandbag and the target is 250 + 75 = 325 meters.

Evaluate 9n -15 for n = 5.

Answers

Answer:

the answer is 30

Step-by-step explanation:

9(5)=45

45-15=30

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

Substitute 5 into everywhere you see 'n'

9(5) - 15

Simplify:

9 x 5 = 45

45 - 15 = 30

The answer is 30.

Hope This Helps You!

Good Luck (:

Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ

a circular swimming pool has a circumference of 188.4 feet. if kelly swims across the pool. how far will she swim​

Answers

Answer:

C.) 60 feet

Step-by-step explanation:

Knowing that the formula for finding the circumference of a circle is [tex]\pi d[/tex] or [tex]2\pi r[/tex], we are able to set up the equation to be:

[tex]188.4=3.14d[/tex]

[tex]\frac{188.4}{3.14} =d[/tex]

[tex]60=d[/tex]

and done! :)

(-1, 1) is a solution to the following system of equations:
True or false

Answers

no its not l. the top is 3 the bottom is one

Find the surface area of the shape below

Answers

Answer:

464 in²

Step-by-step explanation:

Surface area of a figure is the total area of its sides.

We shall assume that the shape is a solid.

2 × (5 × 10) = 2 × 50 =  100

2 × 1/2 × 4(10+16) = 4 × 26 = 104

10 × 10 = 100

10 × 16 = 160

Total area = 100 + 104 + 100 + 160

                 = 464 in²

Final answer:

The surface area of a shape can be found by using specific formulas that differ depending on the shape's dimensions and type. For a sphere, the formula is A = 4πr², while for a rectangle, it's A = length × width. Other shapes like a cylinder require calculating the area of each side then adding them together.

Explanation:

In order to find the surface area of a shape, we first need to know the dimensions and type of the shape. For example, to find the area of a sphere, you'd use the formula A = 4πr², where 'r' is the radius of the sphere. To find the area of a rectangle, you'd use A = length × width.

If we're talking about a more complex shape, like a cylinder, we need to calculate the area of each face or side separately and then add them together for the total surface area. For example, the total surface area of a cylinder is given by A = 2πr(r + h), where 'r' is the radius of the base and 'h' is the height of the cylinder.

These are just a few examples. The calculation of the surface area will depend on the specific dimensions and type of the shape in question.

Learn more about Surface Area

https://brainly.com/question/12448114

#SPJ3

I need the answer please

Answers

Answer:

22 degrees

Step-by-step explanation:

Since both triangles correspond, side x is correspondent to 22 degrees, Since that is also the only given piece of information, that is your answer.

PLEASE HELP ASAPPP

Line d is parallel to line c in the figure below.
Which statements about the figure are true? Check all that apply.


Vertical angles prove that <2 = <5

In the two similar triangles, <1 and <4 are corresponding angles.

Vertical angles prove that <3=<6.

The triangles are similar because alternate interior angles are congruent.

In the two similar triangles, <2 and <4 are corresponding angles.

The triangles are similar because corresponding sides are congruent.

Answers

The correct answers are 2,3, and 4.

(if not 4, then the last one)

Answer:

C.Vertical angles prove that angle 3= angle 6

D.The triangles are similar because alternate interior angles are congruent.

Step-by-step explanation:

When line d is parallel to line c.

We have to find the true statements about the figure.

Then, [tex]\angle 3=\angle 6[/tex](Vertical angles are equal)

[tex]\angle 1=\angle 4[/tex]

[tex]\angle 2=\angle 5[/tex]

Reason: Alternate interior angles

Two triangles are similar by AA postulate

Reason:Alternate interior angle are congruent.

Option C and D are true.

C.Vertical angles prove that angle 3= angle 6

D.The triangles are similar because alternate interior angles are congruent.

A sphere and a cylinder have the same radius and height. The volume of the cylinder is Amie found the volume of the sphere.

Answers

Answer:

The answer is the first

Amie should have multiplied 54 by 2/3

Step-by-step explanation:

* Lets start with the rule of the volume of each solid

∵ Volume the sphere = 4/3 π r³

∵ Volume the cylinder = π r² h

∵ The radii and the heights of the sphere and the cylinder are equal

∴ The ratio between there volumes are

   4/3 π r³ : π r² h

- Lets divide each part by π r²

∴ 4/3 r : h

∵ The height of the sphere = the diameter of it = 2r

∴ The height of the cylinder = 2r

∴ The ratio will be:

   4/3 r : 2r

- Now divide each part by 2r

∵ (4/3)r ÷ 2r = 2/3

∵ 2r ÷ 2r = 1

∴ The ratio is 2/3 : 1

∴ The volume of the sphere = 2/3 the volume of the cylinder

∵ The volume of the cylinder = 54 m³

∴ The volume of the sphere = 2/3 × 54 = 36 m³

∴ The answer is Amie should have multiplied 54 by 2/3

Answer:

The answer is Amie should have multiplied 54 by 2/3

Step-by-step explanation:

Write the quadratic equation in general quadratic form below.

17x2 = 12x

Answers

Answer:   [tex]\bold{\dfrac{12\pm \sqrt{144-0}}{2(17)}}[/tex]

Step-by-step explanation:

[tex]17x^2=12x\quad \rightarrow \quad 17x^2-12x+0=0\quad \rightarrow \quad a=17,\ b=-12,\ c=0\\\\\\\text{Quadratic formula is: }x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(-12)\pm \sqrt{(-12)^2-4(17)(0)}}{2(17)}\\\\\\.\ =\dfrac{12\pm \sqrt{144-0}}{2(17)}[/tex]

Answer:

General quadratic form is 17x²- 12x + 0 = 0.

Step-by-step explanation:

Given  : 17x² = 12x.

To find : Write the quadratic equation in general quadratic form below.

Solution : We have given that 17x² = 12x.

General quadratic form is  : [tex]ax^{2} + bx + c = 0[/tex].

We have 17x² = 12x.

Convert it in to general quadratic form

On subtracting both sides by 12x .

17x²- 12x + 0 = 0.

Here a = 17 , b = - 12 , c = 0 .

Therefore, General quadratic form is 17x²- 12x + 0 = 0.

Need help don’t understand

Answers

Answer:

4 units left and 2 units up

Step-by-step explanation:

Translation notation is the words you would use to describe the translation of the point or shape. It says that the point was translated 4 units left and 2 units up, and that is the translation notation.

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