Heya, could someone help me figure this out? I'm kinda stuck on this question :p​

9514 1404 393

Answer:

  a.  (1.4, 2.6)

  b.  (3, 2)

Step-by-step explanation:

a. The circumcenter is the intersection point of the perpendicular bisectors of the sides of the triangle.

For points X(a, b) and Y(c, d), the perpendicular bisector of XY can be written as ...

  (c -a)(x -(c+a)/2) +(d -b)(y -(d+b)/2) = 0

Then the equation of the perpendicular bisector of MN is ...

  (-2-4)(x -(-2+4)/2) +(4-0)(y -(4+0)/2) = 0

  -6(x -1) +4(y -2) = 0

  3x -2y = -1 . . . .  divide by -2 and put in standard form

Similarly, the perpendicular bisector of NO is ...

  (0-(-2))(x -(0-2)/2) +(6 -4)(y -(6+4)/2) = 0

  2(x +1) +2(y -5) = 0

   x + y = 4 . . . . divide by 2 and put in standard form

So, the point of intersection is ...

  (3x -2y) +2(x +y) = (-1) +2(4) . . . . . add twice the 2nd equation to the 1st

  5x = 7 . . . . . . simplify

  x = 1.4 . . . . . . divide by 5

  y = 4-1.4 = 2.6 . . . . . find y from the second equation

The coordinates of the circumcenter are (1.4, 2.6).

__

b. The centroid is the average of the vertex coordinates.

  centroid = (A +B +C)/3 = ((1, 2) +(3, 4) +(5, 0))/3 = (1+3+5, 2+4+0)/3 = (9, 6)/3

  centroid = (3, 2)

Answer:

55

Step-by-step explanation:

Answer:

x = 4 cm

y = 3 cm

Dimension is 11 by 8

Step-by-step explanation:

The computation of the values of x and y and their dimension is shown below:

3y + 2 = x + 7

3y - x = 5.......(i)

2x = x + y + 1

x - y = 1...........(ii)

Now solve these both equations

2y = 6

y = 3 cm

And,

x - y = 1

x - 3 = 1

x = 4 cm

Now their dimension is

= x + 7

= 4 + 7 = 11

And,

= x + y + 1

= 4 + 3 + 1

= 8

So, 11 by 8

Answer:

$22.5

Step-by-step explanation:

The original price is $30 and it's on sale for 25% off.  Since 25% is a quarter of the total price, I divided 30÷4=7.5.  $7.5 is 25% of $30, so 7.5 is the amount taken off the original price.  To find what Daysi paid, I subtracted 30-7.5=22.5.  $22.5 is the result after the 25% off, so Daysi paid $22.5.  

Answer: its 31.4 i think cuz if you divide 157 and 5 you get 31.4 in an hour

Step-by-step explanation:

I divided

Answer:

If he bikes 157 miles in 5 hours and we need to know hhwo many miles he can bike in 1 hour, we need to divide

157/5=31.4

Step-by-step explanation:

157 divided by 5

5 fits in 15 3 times

5x3=15

15-15=0

we bring down the 7 and 5 only fits in 7 one time

5x1 is 5 so 7-5 is 2

we add a decimal after 157 and drop it down to creat 20

5x4 is 20 so the answer is 31.4

The simplified form of the Multiplication of Fractions and Whole Numbers would be  4 2/3.

A fraction represents a part of a number or any number of equal parts. There is a fraction, containing numerator(upper value) and denominator(lower value).  When the numerator is less than the denominator, the fraction is called proper fraction, otherwise it is called improper fraction. A proper fraction is also called fraction which is less than 1.

Given that the fraction expression as;7 x 2/3

We need to multiply Fractions and Whole Numbers

7 x 2/3 = 14/3

Now convert simple fraction into mixed;

14/3 = [tex]4 \frac{2}{3}[/tex]

Therefore, the simplified form of the Multiplication of Fractions and Whole Numbers would be  [tex]4 \frac{2}{3}[/tex].

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Answer: 7 clients

Step-by-step explanation:

Of the last 10 clients that cut their hair at the salon, 5 had blond hair.

That is a proportion of:

= 5 / 10

= 1/2

Assuming this same proportion applies to the next clients Sue gets, the expected number of blonde people will be:

= Number of clients * 1/2

= 14 * 1/2

= 7 clients

Answer:

2 and 3 are c you should try to do the others on your own they are just properties

Step-by-step explanation:

Answer:

2 and 3 are C, and 4 and 5 are B

Step-by-step explanation:

Answer:

B. 10

Step-by-step explanation:

While doing construction O and P are joined then

OQ = OR

<QOR = 80°

<QPR = <QOR /2 ( INSCRIBED ANGLE IS HALF OF THE CENTRAL ANGLE STANDING ON SAME ARC)

<QPR = 80°/2

<QPR = 40°

SO

< QPO = X

<RPO = 30°

<QPO + <RPO = < QPR

X + 30° = 40°

X = 40° - 30°

X = 10°

hope it helps

Answer:

yessuh

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

Khan Academy

The value of [A] will be 48.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is that we have rewritten -

(1/7)ˣ ⁻ ² - (1/7)ˣ  as  [A] x (1/7)ˣ

We have (1/7)ˣ ⁻ ² - (1/7)ˣ  rewritten as [A] x (1/7)ˣ. So, we can write -

(1/7)ˣ ⁻ ² - (1/7)ˣ = [A] x (1/7)ˣ.

Now, we can write [(1/7)ˣ ⁻ ² - (1/7)ˣ] as :

[(1/7)ˣ / (1/7)²] - (1/7)ˣ

(1/7)ˣ [1/(1/7)² - 1]

We have -

(1/7)ˣ ⁻ ² - (1/7)ˣ = [A] x (1/7)ˣ.

So, we can write -

(1/7)ˣ × [1/(1/7)² - 1] =  [A] × (1/7)ˣ.

On comparing, we  get -

[A] = [1/(1/7)² - 1]

[A] = 48

Therefore, the value of [A] will be 48.

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Answer:

18.6

Step-by-step explanation:

28 divided by 1.50 equals 18.6

The number of rides will be equal to 12 in the Carnival.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that at the carnival, it costs $10 to enter. It then costs $1.50 per ride you go on. The total amount is $28.

The number of rides will be calculated by forming an equation below,

A = 10 + 1.5R

28 - 10 =1.5R

1.5R = 18

R = 18 / 1.5

R  = 12

Therefore, the number of rides will be equal to 12 in the Carnival.

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Answer:

25

Step-by-step explanation:

I don't know the steps

Answer:

Step-by-step explanation:

7.9 meters per second

Answer: 36

Step-by-step explanation: I used a calculator to multiply 9 by 9 & 1 1/2 by 1 1/2. For 9 by 9 you get 81, for 1 1/2 by 1 1/2 you get 2 1/4. 81 divided by 2 1/4 is 36. You’re welcome sorry if I’m late!

Answer:

90.2

Step-by-step explanation:

thx for the follow!!!

Answer:

105.8 is the answer

Step-by-step explanation:

105.8

Step-by-step explanation:

Let each let of chicken be C and dog be D respectively.

Then as per question

2C+4D = 28.......i

and

C-D =14........ii

These are the two algebraic equation which you are looking for solve them

to get the answer

Answer:

/2

Step-by-step explanation:

Answer:

0.231

Step-by-step explanation:

Answer:

3/13 round to the nearest thousandth is 0.231

Step-by-step explanation:

This is a bit strange how your teacher mentions the height increases at 10 inches per minute, but then doesn't refer to the time value afterward.

Ignoring that oddity, we have [tex]V = \pi*r^2*h[/tex] turn into [tex]V = \pi*4^2*h[/tex] when plugging in r = 4. This simplifies to [tex]V = 16\pi*h[/tex]

This represents the volume V for any given height h.

Let's plug in [tex]V = 80\pi[/tex] and solve for h

[tex]V = 16\pi*h\\\\80\pi = 16\pi*h\\\\80 = 16*h\\\\80/16 = h\\\\5 = h\\\\h = 5[/tex]

Note: in the jump from step 2 to step 3, I divided both sides by pi.

So we found that when the height is h = 5 feet, this leads to the volume being [tex]V = 80\pi[/tex] cubic feet.

-------------------------------

Let's convert from feet to inches

1 foot = 12 inches

5 feet = 60 inches (multiply both sides by 5)

The height of the cylinder is 60 inches when the volume is 80pi cubic feet.

We're told that the height increases by 10 inches per minute. This would mean that h = 10t assuming the height starts at 0 when the time value is t = 0.

Solving for t leads to...

h = 10t

60 = 10t

60/10 = t

6 = t

t = 6

After 6 minutes, the height is 60 inches = 5 feet.

Answer:

80/729

Step-by-step explanation:

8/18x8/18x10/18=640/5832

80/729

Answer:

B. (x , y) -> (-y , x)

Step-by-step explanation:

counter clockwise rotation 90° : (x,y) -> (-y,x)

Answer:

i did the math in my calculator and came up with -4550 i don't know what i did

Step-by-step explanation:

I'm sorry, I thought I could have helped. I hope you have a nice day!

Answer:

60

Step-by-step explanation:

Answer:

0.1:0.16

Step-by-step explanation:

they can both be divided by 3

.48/3=.16

.3/3=.1

Answer:

0.8

Step-by-step explanation:

Answer:

.8

Step-by-step explanation: