If 0(0,0), B(5,0) and C(5,5) are three points. Prove that
OB=OC.​

Answers

Answer 1

Step-by-step explanation:

you must have written something wrong.

because given that information OB is not equal to OC.

but for example, OB = BC.

the distance of OB is (5,0) - (0,0) = (5-0,0-0) = (5,0) =

= sqrt(5² + 0²) = sqrt(25) = 5

the distance of OC is (5,5)-(0,0) = (5-0,5-0) = (5,5) =

= sqrt(5² + 5²) = sqrt(50) = 5×sqrt(2)

so, OB is NOT the same as OC.

but BC is (5,5)-(5,0) = (5-5,5-0) = (0,5) = sqrt(0² + 5²) =

= sqrt(25) = 5


Related Questions

The triangles below are similar. Find the measure of ∠B and ∠F

Answers

Answer:

∠ B = 45°, ∠ F = 22°

Step-by-step explanation:

Since the triangles are similar then corresponding angles are congruent, so

∠ B = ∠ E = 45°

∠ F = ∠ C = 22°

Marcus earns $13.00 per hour by walking the neighbor's dogs. He walked the dogs for
four hours. How much money will he have at the end of the day?

Answers

Answer:

$52.00

Step-by-step explanation:

if he makes 13.00 per hour, for four hours, you just times 13 by 4 to get 52.

Answer:

52

Step-by-step explanation:

Multiply 13 and 4 to get $52.

draw the image of triangle ABC after a translation along vector v
(just saying the points' ordered pairs is fine :) )

Answers

Answer:

[tex]A'=(1, 9), \\B'=(6,9),\\C'=(1,4)[/tex]

Step-by-step explanation:

Notice how [tex]\vec{v}[/tex] has a tail at (8,4) and a head at (2,2), which means the x-coordinate is translated 6 units to the left and the y-coordinate is translated 2 units down.

If [tex]\triangle ABC[/tex] were to be translated along this vector, its vertices should follow the vector.

Therefore, the new points of [tex]\triangle ABC[/tex] will be 6 units to the left of their initial x-coordinate and 2 units below their initial y-coordinate.

[tex]A(7, 11)\implies A'(1, 9), \\B(12, 11)\implies B'(6, 9), \\C(7, 6)\implies C'(1, 4)[/tex]

tina works 15 hours a week (monday to friday). last week she worked 3 1/2 hours on monday, 4 hours on tuesday, 2 1/6 hours on wednesday and 1 1/2 on thursday. how many hours did she works on fridays​

Answers

Answer:

Tina worked [tex]3 \frac{5}{6}[/tex] hours on Friday.

Step-by-step explanation:

To solve for how many hours Tina worked on Friday you have to add up all the hours worked then subtract that from 15 hours to get the remainder.

Step 1 : Add up all the hours worked so far.

[tex]3\frac{1}{2}[/tex] + 4 + [tex]2\frac{1}{6}[/tex]  + [tex]1\frac{1}{2}[/tex] = ?

We need to turn these mixed numbers into improper fractions first so we can add. Let's turn them all into sixths.

[tex]3 \frac{3}{6}[/tex] + 4 + [tex]2\frac{1}{6}[/tex] + [tex]1 \frac{3}{6}[/tex] = [tex]11\frac{1}{6}[/tex]

Allright, so now we know that Tina already worked 11 and 1/6 hours already, so we subtract that from 15 to find how many hours she worked on Friday.

Step 2 : Subtract [tex]11\frac{1}{6}[/tex] from 15.

15 - [tex]11\frac{1}{6}[/tex] = [tex]3 \frac{5}{6}[/tex]

Therefore Tina worked [tex]3 \frac{5}{6}[/tex] hours on Friday.

Hope this helps, please mark brainliest if possible. Have a great day.

HELP HELP HELP TODAY IS THE DEADLINE

Answers

C, 3 units translated to the left due to the +3 inside the bracket, vertically reflected on the x-axis as it is negative outside the bracket and translation 1 unit up because of the +1 outside the brackets.

Simultaneous EQUATION 3x+2y=16 2x+y=9 PLS HELP I need answer quickly

Answers

Answer:

(2, 5 )

Step-by-step explanation:

Given the 2 equations

3x + 2y = 16 → (1)

2x + y = 9 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate the y- term

- 4x - 2y = - 18 → (3)

Add (1) and (3) term by term to eliminate y

- x = - 2 ( multiply both sides by - 1 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (1)

3(2) + 2y = 16

6 + 2y = 16 ( subtract 6 from both sides )

2y = 10 ( divide both sides by 2 )_

y = 5

solution is (2, 5 )

Simplify the expression below. (x^5)(x^2)
A. x^2
B. x^5
C. x^7
D. x^10

Answers

[tex]\longrightarrow{\green{C.\: {x}^{7}}}[/tex] 

Step-by-step explanation:

[tex]( {x}^{5} )( {x}^{2} ) \\\\ = {x}^{5 + 2} \\\\ = {x}^{7} \\\\ (∵ {a}^{m} \times {a}^{n} = {a}^{m + n} )[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

The answer is C. X^7

For which equations does the fraction 13 make the equation true? A 6x __=3 B 6x__=2 C 7x__=7/21 D 8x__=3 1/3

Answers

Answer:

B. 6 x 1/3 = 2

Step-by-step explanation:

2 is 1/3 of 6

So multiplying 6/1 (6) bu 1/3 :

6/1 * 1/3 = 6 / 3 = 2

If my answer is incorrect, pls correct me!

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

-Chetan K

A University has three student residences which are located at points (−6, 12) (0,0) (3,9). The University wants to build a tennis court an equal distance from all three residences. Determine the coordinates of the tennis court. What is the distance from a residence to the court to the nearest 10th of a metre? (1unit=40m).

Answers

Answer:

a.  (-3, 6)

b. 268.3 m

Step-by-step explanation:

a. Determine the coordinates of the tennis court.

Let (x,y) be the coordinates of the tennis court. Since we have equal distances from the tennis court to each residence, we have using the equation for distance between two points (x₁,y₁) and (x₂,y₂), d = √[(y₂ - y₁)² + (x₂ - x₁)²]. Using the first two residences, (-6, 12) and (0,0) as (x₂,y₂) and (x, y) = (x₁,y₁), So,

d = √[(12 - y)² + (-6 - x)²]

d = √[(12 - y)² + (6 + x)²]

d = √[(144 - 24y + y² + 36 + 12x + x²]

d = √x² + y² + 12x - 24y + 180

d² = x² + y² + 12x - 24y + 180  (1)

Also, with (x₂, y₂) = (0,0) we have

d = √[(0 - y)² + (0 - x)²]

d = √[( - y)² + (- x)²]

d = √[y² + x²]

d = √[x² + y²]

d² = x² + y²  (2)

Also, with (x₂, y₂) = (3,9) we have

d = √[(9 - y)² + (3 - x)²]  

d = √[(81 - 18y + y² + 9 - 6x + x²]

d = √(x² + y² - 6x - 18y + 90)

d² = x² + y² - 6x - 18y + 90 (3)

Substituting (2) into (1), we have

d² = x² + y² + 12x - 24y + 180   (1)

d² = d² + 12x - 24y + 180  (1)

d² - d² = 12x - 24y + 180

12x - 24y + 180 = 0

12x - 24y = -180

dividing through by 12, we have

x - 2y = -15  (4)

Substituting (2) into (3), we have

d² = x² + y² - 6x - 18y + 90 (3)

d² = d² - 6x - 18y + 90 (3)

d² - d² = - 6x - 18y + 90

- 6x - 18y + 90 = 0

- 6x - 18y = -90

dividing through by -6, we have

x + 3y = 15 (5)

Subtracting (5) from (4), we have

x - 2y = -15  (4)

-

x + 3y = 15 (5)

-5y = -30

y = -30/-5

y = 6

substituting y = 6 into (4), we have

x - 2y = -15

x - 2(6) = -15

x - 12 = -15

x = 12 - 15

x = -3

So, the coordinates of the tennis court is (-3, 6)

b. What is the distance from a residence to the court to the nearest 10th of a metre? (1unit=40m).

Using equation (2),

d² = x² + y²  (2) where x and y are the coordinates of the tennis court, and x = -3 and y = 6

So,

d² = x² + y²  

d² = (-3)² + (6)²  

d² = 9 + 36  

d² = 45

d = √45 units

Since 1 unit = 40 m,

d = √45 × 40 m

d = 6.708 × 40 m

d = 268.33 m

d ≅ 268.3 m to the nearest tenth of a metre


Leo will create a mural consisting of five
vertical stripes of different colors. If Leo has
eight different colors from which to choose,
and the order of the stripes matter, in how
many ways can he complete his mural?

Answers

Answer:

he got 8 different colors to choose from for the first stripe. he has to choose from 7 for the second (one choose less bc he alrdy took one color)

that alone makes 56 different ways for just two stripes.

he will use 5 stripes in total, so the calculation is:

8*7*6*5*4 = 6720

(8!-3! would also work with the calculator 8! uses all the naturalnumbersfrom 1 to 8 and multiplies them)

what is the anser for 194*33333

Answers

(the answer is) = 6466602

Two sides of a triangle have lengths 4 and 7. Which of the following can NOT be the length of the third side?

Answers

Answer:

3 < x < 11

Step-by-step explanation:

triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the third side

if 'x' is the third side then:

x + 4 > 7

7 + 4 > x

therefore,  'x' must be greater than 3 and less than 11

The value of the third side should be < 11 so, it cannot be 11, the correct option is C.

What is a Triangle?

A triangle is a polygon with three sides, three vertices and three angles.

The two sides of a triangle are  4 and 7

According to the property of sides of a triangle, The measure of the third side of a triangle is always less than the sum of the two sides.

The sum of the sides is 4+7 = 11

Let the third side be x

then,

x < 11

The x cannot be 11.

The missing options are

A. 4

B. 7

C. 11

D. 5

To know more about Triangle

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Which function represents the graph below? ​

Answers

Answer:

answer is A. you can see each intervals slowly to know this

find out the arc length of DG and the measure of angle DHG

Answers

Answer:

is it timed, because i need like 20 mins to answer this question.

Step-by-step explanation:

Write a function to describe the following scenario.

The temperature of a hot steak starts at 140° F and decreases at 5° F per minute. What will the temperature be of this steak after a certain number of minutes?

y= ? - ?x

Answers

Answer:

Below.

Step-by-step explanation:

Temperature after 1 minute = 140 - 5(1)

Temperature after 2 minutes = 140 - 5(2)

Temperature after 3 minutes = 140 - 5(3),

- and so on.

So the function is

y = 140 - 5x.

The temperature of the steak after a certain number of minutes can be described as the function

y = 140 - 5x

What is a linear equation?

A linear equation with one variable has the standard form Cx + D = 0. In this case, the variable is x and C are coefficient, while D is a constant.

How to solve this problem?

Let the certain number of minute is x.

Since the temperature decreases at 5° F per minute, then after x minutes, it will decrease 5x.

Initial temperature = 140° F

Then the present temperature, y = 140 - 5x.

Therefore, the temperature of the steak after a certain number of minutes can be described as the function

y = 140 - 5x

Learn more about temperature here -

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Find all n in N that satisfy (2^n)-1 divisible by 9​

Answers

Answer:

u can use the hit and trial method for this

Tilly and her mom made a rectangular dog run. They used 26 one-yard long pieces of fencing. They put 6 pieces of fencing on one side. How many pieces did they put on the next side?

Answers

perimeter of a rectangle equals length + length + width+ width wherein both length are equal and both widths are equal
therefore if one length takes 6 pieces that means the next length is also 6 pieces
26 - (6 + 6) = 14 pieces
next all you need to do is divide 14 by 2 to get the amount of pieces for one of the other two sides. (but if you get the amount of pieces needed for one side it will also be the same for the other since they would be equal)
14÷2 = 7
they would use 7 pieces on the other side

A 4.5 m long pipe rests against a 2 m high
tank. One end of the pipe is on the ground
3 m from the base of the tank. How much
of the pipe overhangs the tank?
4.5 m
Bm
3 m


help me please lol

Answers

Answer:

0.89 m is the answer

Step-by-step explanation:

the wall, the ground and portion of pipe form a right angle triangle with pipe portion being the hypotenuse.

for a right triangle

[tex]{hypotenuse}^{2} = {base}^{2} + {height}^{2} [/tex]

here we have base = 3m and height = 2m.

thus

[tex] {h}^{2} = {3}^{2} + {2 }^{2} \\ = 9 + 4 \\ = 13 \\ h = \sqrt{13} [/tex]

portion of pipe overhanging = 4.5 - sqrt (13)

= 4.5 - 3.61

= 0.89 m

Leeza is making labels in the shape of parallelograms each label has an area of 18 square centimeters and a base of 6 centimeters. What is the height of each labe

Answers

Answer:

3cm

Step-by-step explanation:

A parallelogram is  quadrilateral that has two pairs of parallel sides. The opposite sides  equal in length

Area of a parallelogram = base x height

18cm² = 6cm x height

height = 18cm² / 6cm = 3cm

franklin races bikes. in his city there are 4 lengths of race tracks. The chart shows the race tracks and each tracks length in miles
A. 1/4
B. 3/2
C. 1 3/4
D. 4/4

Franklin races 3 laps in the same lane. the total distance he raced is more than 4 1/2miles
which track does franklin race on?

Answers

Answer:

Step-by-step explanation:

1/4

Find the distance between the line segment with end points (-3,5) and (1,5)

Answers

Answer:

[tex]\displaystyle d = 4[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

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

Step-by-step explanation:

Step 1: Define

Identify

Point (-3, 5)

Point (1, 5)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]:                                                         [tex]\displaystyle d = \sqrt{(1- -3)^2+(5- 5)^2}[/tex][√Radical] (Parenthesis) Subtract:                                                                   [tex]\displaystyle d = \sqrt{4^2+0^2}[/tex][√Radical] Simplify:                                                                                           [tex]\displaystyle d = \sqrt{4^2}[/tex][√Radical] Evaluate:                                                                                         [tex]\displaystyle d = 4[/tex]

Which expressions are equivalent to the on below select all that apply 9x

Answers

Answer:

B and D

Step-by-step explanation:

Multiplying exponents just adds them.

Answer:

B + D

Step-by-step explanation:

If j + m=5, what is the value of 50j + m)?

Answers

Answer:250

Step-by-step explanation:

j+m=5

50(j+m)=50x5=250

Answer:

If you mean 5(j + m) and j + m = 5 then you answer is 6j + 6m = 5.

If you mean 50j + m and j + m = 5 then there is no solution.

Step-by-step explanation:

j + m = 5

5(j + m)

5(j + m) + j + m = 5

5j + 5m + j + m

6j + 6m = 5

What is the measure of an angle if it is fourteen times its own complement?​

Answers

Answer:

Let the measure of the complementary angle be x so that the measure of the other angle is 14x. The total measure of the angles is 180 degrees.

What is the solution to the equation 3(x - 1) – 2(2x + 1) = 8(x - 1)?

Answers

1. distribute and get:
3x - 3 - 4x - 2 = 8x - 8

2. simplify the first side of the equation
- x - 5 = 8x - 8

3.move all the x’s to one side
-5 = 9x - 8

4. completely isolate the 9x

3 = 9x

5. solve
x = 1/3

let me know if this is correct :)!

i keep getting this Q wrong can someone help me solve it :)

Answers

Answer:

Can I have your points because you stole it

my precious points

your answer is helpless

Lisa uses 2 pieces of copper wire, each 9 feet long, for
each robot she builds. If she started with a 500-yard roll
of copper wire, which of the following represents the
number of yards of wire left on the roll after 'Lisa built r
robots? (3 feet = 1 yard)

Answers

Answer:

yards of wire left on the roll = 500 - r(3)

Step-by-step explanation:

9 feet = 3 yards we need to find how much wire is left on the roll after she builds a certain amount of robots. she uses 9 feet or 3 yards per robot so we have to multiply the amount of robots (r) by 3 yards and subtract that from 500 yards or the total amount of wire she has and that gives us the total amount of wire she has left. Hope this helps.

Dahlia is simplifying (3 t) Superscript 4 using these steps:

(3 t) Superscript 4 = 3 t times 3 t times 3 t times 3 t = 3 times 3 times 3 times 3 times t times t times t times t


Although Dahlia is correct so far, which step could she have used instead to simplify the expression (3 t) Superscript 4?
(3 t) Superscript 4 = 3 t Superscript 4
3 Superscript 4 Baseline t = 81 t
4 (3 t) = 12 t
3 Superscript 4 Baseline t Superscript 4 Baseline = 81 t Superscript 4

Answers

Answer:

D would be the answer

Step-by-step explanation:

Took the test got it correct <33 good luck

A quadratic function y=f(x) is plotted on a graph and the vertex of the resulting parabola is (3,-4). What is the vertex of the function defined as g (x) =f(x+5)?

Answers

Answer:

(-2, -4)

Step-by-step explanation:

y = f(x) = ax²+bx +c

given the vertex is (3, -4)

=> the symetry axis: x = 3

x = -b/2a = 3

so, -b = 6a => b = -6a

the function f(x) = x²-6x + 5

g(x) = f(x+5)

g(x) = (x+5)²-6(x+5)+5

g(x) = x²+10x+25-6x-30+5

g(x) = x²+4x

=> a=1, b=4

find the vertex of the function g :

the symetry axis: x= -4/2(1) => x = -2

y = g(-2) = (-2)²+4(-2)= 4-8 = -4

so, the vertex is (-2, -4)

Answer:

(-2, -4)

Step-by-step explanation:

Vertex form of a quadratic function:

f(x) = (x - h)² + k

We have (h, k) = (3, -4)

The function f(x) is:

f(x) = (x - 3)² - 4

The function g(x) is:

g(x) = f(x + 5) =

         (x + 5 - 3)² - 4 =

         (x + 2)² - 4

Vertex of g(x) is:

(-2, -4)

Which of the following is equal to √16x4?
A. 32 B. 64 C. √16/4 D. √16•√4

Answers

Given :-

√16 × 4 .

To Find :-

The value of the expression .

Answer :-

We know that , if ,

=> √{ab}

It can be written as ,

=> √a × √b ,

Therefore ,

=> √{ 16 × 4 }

=> √16 × √4

Option D is correct !

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