An equation of the perpendicular bisector of the line segment with end points (3,0) and (-3,0) is
A) x = -3/2
B) x = 0
C) x = 3/2
D) X = 3
E) X = 6
Help please with steps

Answers

Answer 1

Answer:

[tex]x = 0[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (3,0)[/tex]

[tex](x_2,y_2) = (-3,0)[/tex]

Required

The equation of the perpendicular bisector.

First, calculate the midpoint of the given endpoints

[tex](x,y) = 0.5(x_1 + x_2, y_1 + y_2)[/tex]

[tex](x,y) = 0.5(3-3, 0+ 0)[/tex]

[tex](x,y) = 0.5(0, 0)[/tex]

Open bracket

[tex](x,y) = (0.5*0, 0.5*0)[/tex]

[tex](x,y) = (0, 0)[/tex]

Next, determine the slope of the given endpoints.

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{0 - 0}{-3- 3}[/tex]

[tex]m = \frac{0}{-6}[/tex]

[tex]m = 0[/tex]

Next, calculate the slope of the perpendicular bisector.

When two lines are perpendicular, the relationship between them is:

[tex]m_2 = -\frac{1}{m_1}[/tex]

In this case:

[tex]m = m_1 = 0[/tex]

So:

[tex]m_2 = -\frac{1}{0}[/tex]

[tex]m_2 = unde\ fined[/tex]

Since the slope is [tex]unde\ fined[/tex], the equation is:

[tex]x = a[/tex]

Where:

[tex](x,y) = (a,b)[/tex]

Recall that:

[tex](x,y) = (0, 0)[/tex]

So:

[tex]a = 0[/tex]

Hence, the equation is:

[tex]x = 0[/tex]


Related Questions

Solve for x....................................

Answers

Answer:

x = 4.5 is the answer to the question

Find the equation of the line that
is parallel to y = 4x + 1 and
contains the point (1, 1).

Answers

Answer:

4x-3

Step-by-step explanation:

Equation of the line that is parallel to y = 4x + 1 and contains the point (1, 1) is y = 4x - 3.

What are equation of a line that is parallel to that line?

Two lines are said to be parallel if they always maintain the same distance apart. If two lines are drawn so that they could extend into infinity without ever meeting each other, these lines are called parallel. Parallel lines are also called Equidistant lines.

Given

Equation of line y = 4x + 1

Point = (1, 1)

Equation of the line that is parallel to y = 4x + 1 is y=kx + b

Here k =4

y = 4x + b and contains the point (1,1)

Substitute the point (1,1) in y= 4x + b

⇒ 1 = 4(1) + b

⇒ 1 - 4 = b

⇒ b = -3

y = 4x + b

⇒ y = 4x - 3

Equation of the line that is parallel to y = 4x + 1 and contains the point (1, 1) is y = 4x - 3.

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SUPER EASY QUESTION WILL GIVE BRAINLEST!!!!!!!!!!!!!!!!!!!!!
what is 11683.94 rounded to the nearest tenth.

Answers

Answer: It's 11683.9

Step-by-step explanation:

help plss i'm lost i need help

Answers

+20 for babysitting
+14 above zero
-100 feet below sea level
-17 u owe ur aunt
-10 candy bars left over
-9 people who didn’t get burgers
-8 years younger
+11 years older

Answer:

2) +20

4) +14

5) -100

6) -17

7) 10

8) -9

9) -8

10) +11

Step-by-step explanation:

look at the words and it will tell you whether it's positive or negative

ex. one hundred feet below sea level- it says below which means you would be going down

A. Scalene
B. Isosceles
C. Right
D. Obsute

Answers

B,the answer is B isosceles

Answer:

Isosceles

Step-by-step explanation:

Because an equilateral triangle is also isosceles, all triangles are either scalene or isosceles. But when people call a triangle isosceles, they're usually referring to a triangle with only two equal sides, because if the triangle had three equal sides, they'd call it equilateral.

Alright I’m not smart please help

Answers

Answer:

98 sq. in.

Step-by-step explanation:

Area of Triangle formula : 1/2 x Base x Height

1/2 x 14 x 14 =98

help pls, math due tonight :(

Answers

9514 1404 393

Answer:

40 ftt = 1 second

Step-by-step explanation:

A graphing calculator answers these questions easily.

The ball achieves a maximum height of 40 ft, 1 second after it is thrown.

__

The equation is usefully put into vertex form, as the vertex is the answer to the questions asked.

  h(t) = -16(t^2 -2t) +24

  h(t) = -16(t^2 -2t +1) +24 +16 . . . . . . complete the square

  h(t) = -16(t -1)^2 +40 . . . . . . . . . vertex form

Compare this to the vertex form:

  f(x) = a(x -h)^2 +k . . . . . . vertex (h, k); vertical stretch factor 'a'

We see the vertex of our height equation is ...

  (h, k) = (1, 40)

The ball reaches a maximum height of 40 feet at t = 1 second after it is thrown.

Need help ASAP I will mark Brainlyist

Answers

1. You answered
2. 7
3. 10
4.
5. 48
6. 145
7. 68
8. 148
9. 102
10.

If x = 1 does x² - x = 0?

Answers

Answer:

Yes it does

Step-by-step explanation:

we would like to Prove the following for x=1:

[tex] \displaystyle {x}^{2} - x = 0[/tex]

since x=1 substitute:

[tex] \displaystyle {1}^{2} - 1 \stackrel {?}{=}0[/tex]

to simplify it we can consider the order of PEMDAS which is a abbreviation of

ParenthesesExponentMultiplication orDivision Addition orSubstraction

since exponent come first

simplify exponent:

[tex] \displaystyle {1}^{} - 1 \stackrel {?}{ = }0[/tex]

simplify substraction:

[tex]\displaystyle 0 \stackrel { \checkmark}{ = }0[/tex]

since left hand side equal to right hand side

hence, Proven

Alternate way:

use a²-b²=(a+b)(a-b) to rewrite:

[tex] \displaystyle (x + \sqrt{x} )(x - \sqrt{x} ) = 0[/tex]

since x=1 substitute:

[tex] \displaystyle (1 + \sqrt{1} )( 1- \sqrt{1} ) \stackrel {?}{=} 0[/tex]

simplify square root:

[tex] \displaystyle (1 + 1)( 1- 1 ) \stackrel {?}{=} 0[/tex]

simplify parentheses:

[tex] \displaystyle (2)( 0) \stackrel {?}{=} 0[/tex]

Multiplying any number by 0 results 0 thus

[tex] \displaystyle 0 \stackrel { \checkmark}{=} 0[/tex]

since left hand side equal to right hand side

hence, Proven

Given,

x = 1

We need to find if x² - x = 0 is true or false.

If x = 1, then x² will be equal to 1² = 1 (1 multiplied by 1 is one / 1 square is equal to 1)

So,

=》x² - x = 0

By substituting ...

=》1² - 1 = 0

Now calculate...

=》1 - 1 = 0

=》0 = 0

•°• The given statement is true.

_____

RainbowSalt2222 ☔

PLEASE HELP I WILL MARK YOU BRAINIEST

Answers

Answer:

y < 4

Step-by-step explanation:

2(5y-2) < 36

Divide both sides by 2.

5y-2 < 18

Add 2 to both sides.

5y < 20

Divide both sides by 5 to isolate y.

y < 4

Just here to help you be able to give brainliest above answer is right

Draw the graph of the equation: 1.6x=4.8

Answers

Answer:

Here...

Step-by-step explanation:

x  |  y

3  | 0

3  | 1

The picture is the graph ( I'm not sure why I wrote that you probably already knew... but, I'm not sure if this helps but here.. :D )

Help me out I’ll give a stars real answers only.

Answers

Answer:

Step-by-step explanation:

PLS ANSWER QUICK, HELP AND EXPLAIN

Answers

Answer:

48 squared inches

Step-by-step explanation:

4x2x6 altogether is 48

Answer:

48 square in.

Step-by-step explanation:

2 × 6 = 12

12 × 4 = 48

so ur answer is 48 square inches

Which of the following are remote interior angles of Z6? Check all that apply.
4
1
5
2.
2
6
3
O A. 24
B. 21
O C. 22
O D. 25
E. <3
A F. 26

Answers

Answer:

B. <1

E. <3

Step-by-step explanation:

Remote interior angles are interior angles inside a triangle that are opposite to an exterior angle of the triangle.

<6 is an exterior angle. The remote interior angles that are opposite to <6 are <1 and <3.

Therefore, <1 and <3 are remote Interior angles of <6

They are away from <6.

The remote interior angles of ∠6 are ∠1 and ∠3

Remote interior angles:

Remote interior angles are those angles that don't share a vertex or corner of a triangle with the exterior angle.

The remote interior angles are usually opposite of the exterior angles.

The remote interior angles of ∠6 are those angles interior angles that does not share a vertex with the ∠6(exterior angle).

Therefore, the remote interior angles of ∠6 are ∠1 and ∠3

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The probability that Tristan wins a certain game of chance is 1/4. If he plays the game 120 times, how many times can he expect to win the game? _________ times

Answers

He is expected to win about 30 times. 1/4 times 120

ANSWER THE QUESTION IN THE PIC BELOW PLEASE

sorry if the pic is blurry if u can't tell what it says beside the line it says 4 in and at the bottom it says 8 in

Answers

The area to the question is 32


What is total area of the shaded sections

Answers

Answer:

Step-by-step explanation:

The shaded region is triangle.

Base = 1.1 in

Height = 3.8 in

Area of triangle = [tex]\frac{1}{2}*base * height[/tex]

                          [tex]=\frac{1}{2}*1.1*3.8\\\\= 1.1 * 1.9\\\\= 2.09 in^{2}[/tex]

Area of shaded region = 2 * 2.09 = 4.18 square inches

Will give brainliest

Find the area of the shaded region.
800
5 cm
A = [?] cm2
Enter a decimal rounded to the nearest tenth.

Answers

The area of the shaded region is  73.4 cm².

What is Area ?

An object's area is the space that its boundary encloses. A closed figure's area is determined by how many unit squares are present on its surface.

Given : Radius of circle = 5 cm

The area of circle = πr²

                             = 25π = 78.57 cm²

Now, the area of segment can be found by using the formula :

                 = 1/2 × r² × [ πФ/180 - sinФ]

So, area of segment = 1/2 × 25 × [ π×80/180 - Sin 80 ]

                                  = 25/2 × [4π/9 - 0.9848 ]

                                  = 25/2 × [1.3968 - 0.9848]

                                  = 5.15 cm² approx.

So, Th area of shaded region = area of circle - area of segment

                                                  = 78.57 - 5.15

                                                 = 73.4 cm²

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VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

Answer: all of dem except for 6

Step-by-step explanation:

What is the area of polygon LMN?

A. 50
B. 60
C. 65
D. 70
E.80

Answers

Answer:

c:65

Step-by-step explanation:

The area of a triangle can be found almost the same way as a sqaure L*W (Length times width). Except the area of a triangle is one half that of a square, so it is [tex]\frac{1}{2}[/tex]L*W. The length is 13 and the width is 10, so 13*10=130, than 1/2 that is 65.

It
Better be 65 I think not sure

Please help with this math equation

Answers

joe paints for 6 hours and john paints for 18

6. A cylindrical oatmeal canister has a diameter of 4 inches and a hight of 10 inches. The manufac-
turing company wants to package the oatmeal in square containers to cut back on wasted storage
space. If the new carton has a square base with 4 inch sides, what is the minimum height it must have,
to the nearest % inch, to hold the same volume of oatmeal? Use 3.14 for the value of T.
a. 7 3/4 inches
b. 8 inches
c. 8 1/4 inches
d. 8 1/2 inches
e. 8 3/4 inches

Answers

The minimum height the square containers should have is 8 inches.

What should be the minimum height the square containers ?

The first step is to determine the volume of the cylindrical oatmeal canister.

Volume = 1/3πr²h

Where:

π = 3.14

r = radius 4/2 = 2

3.14 x 2² x 10 = 125.6

Now, determine the minimum height of the square box.

Height = volume of the cannister / (area of the base)

125.6 / (4 x 4) = 7.85 = 8 inches

To learn more about to determine the volume of a cylinder, check: https://brainly.com/question/9624219

We write "3.4 cm + 4.3 cm = 7.7 cm," but the sum could be as small as --------- cm

Answers

Answer:

the smallest value of the sum is 7.65 cm.

Step-by-step explanation:

Given;

3.4 cm + 4.3 cm = 7.7 cm

To obtain the least value of the given result, we will apply the rounding-off method;

In the rounding-off method, digits between 0 to 4 will be rounded down to zero while digits between 5 and 9 will be rounded up to 1.

The smallest value of 7.7 cm = 7.65 cm (5 will be rounded up to 1 making 7.65 cm approximately 7.7 cm)

Also, other possible values of 7.7 cm include;

7.66 cm, 7.67 cm, 7.68 cm, 7.69 cm

Note :7.64 cm cannot be rounded up to 7.7 cm because 4 will be rounded down to zero making 7.64 cm approximately 7.6 cm.

Therefore, the smallest value of the sum is 7.65 cm.

Create an algebraic expression to solve the following problems.

a) Jeff’s cell phone plan charges him $10 per GB with no extra fees. How much will his bill be for 6 GB?

b) Marks cell phone charges him $8 per GB and a monthly fee of $15 how much will his bill be for 10 GB

c) Ricks cell phone plan charges him $5 per GB and a monthly for of $30. How much will his bill be for 2 GB?


PLEASE ANSWER PLEASE

Answers

Answer:

Step-by-step explanation:

x is the number of GB

f(x) is the cost in dollars

f(x) = 10x

Bill for 6 GB = f(6) = 60

:::::

f(x) = 8x+15

Bill for 8 GB = f(10) = 95

:::::

f(x) = 5x+30

Bill for 2 GB = f(2) = 40

9=7+a a+8=b+5 value of b

Answers

B is 5, you can solve this by first finding the value of a, which is 2, and then plug it into the other equation. 8+2=10 so we must also make the other side 10. We then do 10-5=5, 5 is the value of b

Help plsssssss i'm lost il give brainiest

Answers

Answer:

A  16°

B  -8°

C  6°

D  -16°

E  -4°

Step-by-step explanation:

Look at 0° and 10°. There are 5 lines from one to the other, so each line represents 2°.

A

3 lines above 10° = 10° + 3 * 2° = 10° + 6° = 16°

B

1 lines above -10° = -10° + 2° = -8°

C

3 lines above 0° = 0° + 3 * 2° = 0° + 6° = 6°

D

2 lines above -20° = -20° + 2 * 2° = -20° + 4° = -16°

E

3 lines above -10° = -10° + 3 * 2° = -10° + 6° = -4°

Which line on the graph represents the information in the table?
A. Line a
B. Line b
C. Line c
D. Line c
First one near with CORRECT answer gets brainless.

Answers

Answer:

i Believe is is line b

Step-by-step explanation:

when you put all the lines on the graph they are all near line b

WILL GIVE BRAINLIEST to whoever solves this entire problem (completes all the steps). I WILL REPORT if you just steal the points without giving an answer. I know this is really long but I really need help on this and am low on time. To whoever answers this, thank you so much, you are a life saver.

We created this inequality to represent how Amy can meet her revenue goals:

-100x2 + 15,750x + 212,500 ≥ 243,600

In this activity, you’ll solve this inequality to find the minimum ticket price Amy should charge to meet her minimum revenue goal.

Step 1: set the inequality greater than or equal to zero
Step 2: simplify the inequality by dividing by the GCP so the leading coefficient is positive
Step 3: factor the left side of the inequality by grouping
Step 4: solve the quadratic inequality. Remember to check any possible solutions for viability.
Step 5: what is the minimum number of $2 increases that Amy needs to apply to the ticket price to reach her desired revenue?
Step 6: What’s the minimum ticket price that Amy can charge and reach her goal? Recall that the ticket price is represented by 25 + 2x, where x represents the number of $2 increases.

Seriously thank you to anyone who does this. I am low on time and this helps a bunch.

Answers

Trust me these are the correct answers :)

Answer:

Part A: -100x2 + 15,750x − 31,100 ≥0

Part B: 2x2-315x+622 ≤0

Part C: (2x-311)(x-2) ≤0

Part D:2 ≤ x ≤ 155.5

Part E: We know x = number of $2 increases. So, from the compound inequality, 2 ≤ x ≤ 155.5, we can conclude that the minimum possible value of x is 2.

Part F: 29

Carter invested $16,000 in an account paying an interest rate of 5.6% compounded monthly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $29,600?

Answers

Answer:

11 years.

Step-by-step explanation:

Given that Carter invested $ 16,000 in an account paying an interest rate of 5.6% compounded monthly, to determine, assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $ 29,600, the following calculation must be performed:

16,000 x (1 + 0.056 / 12) ^ Yx12 = 29,600

Y = 11

16,000 x 1.4666 ^ 132 = X

29,581.70 = X

Thus, rounded to the nearest year, it would take 11 years for the account to reach $ 29,600.

What us this cab someone help? 1 1-18 = 4​

Answers

Answer:

Y= -72

Step-by-step explanation:

I dont know if that was the answer needed

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