Alison wants to construct the perpendicular bisector of MN⎯⎯⎯⎯⎯⎯.



What should Alison do for her first step?

Place the point of the compass on point M and draw an arc, using a width for the opening of the compass that is greater than 12MN.
Use the straightedge to draw a line that intersects MN⎯⎯⎯⎯⎯⎯ at a point between M and N.
Place the point of the compass on point M and draw an arc, using a width for the opening of the compass that is equal to 12MN​ .
Place the point of the compass on point M and draw an arc, using a width for the opening of the compass that is less than 12MN

Answer:

-6

Step-by-step explanation:

The equation of the circle that passes through the given points and has its center lying on this line 2x + y = 7 is equal to x² + y² - 10x + 6y - 6 = 0.

Mathematically, the standard form of the equation of a circle is given by;

(x - h)² + (y - k)² = r²

Where:

Assuming the center of this circle lies at (h, k), then we have the following expressions that models the distance from the center of the given circle:

(h - 7)² + (k - 3)² = (h - 11)² + (k - (-1))²

(h - 7)² + (k - 3)² = (h - 11)² + (k + 1)²

(h - 7)² - (h - 11)² = (k + 1)² - (k - 3)²

(h - 7 + h - 11)(h - 7 - h + 11) = (k + 1 + k - 3)(k + 1 - k + 3)

(2h - 18)(4) = (2k - 2)(4)

8h - 72 = 8k - 8

8h - 8k = 64

h - k = 8         .......equation 1.

Since (h, k) lies at 2x + y = 7, we have:

2h + k = 7       .......equation 2.

Solving eqn. 1 and eqn. 2 simultaneously, we have:

h - k = 8

2h + k = 7

3h = 15

h = 15/3

h = 5.

For the value of k, we have:

h - k = 8

5 - k = 8  

k = 5 - 8

k = -3.

Next, we would determine the radius of this circle:

Radius, r² = (h - x)² + (k - y)²

Radius, r² = (5 - 7)² + (-3 - 3)²

Radius, r² = (-2)² + (-6)²

Radius, r² = 4 + 36

Radius, r = √40.

Now, we can write the equation of this circle:

(x - h)² + (y - k)² = r²

(x - 5)² + (y - (-3))² = 40

(x - 5)² + (y + 3)² = 40.

x² - 5x - 5x + 25 + y² + 3y + 3y + 9 - 40 = 0

x² - 10x + 25 + y² + 6y - 31 = 0

x² - 10x + y² + 6y - 6 = 0

x² + y² - 10x + 6y - 6 = 0.

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Answer:

The scale factor should be 4

Step-by-step explanation:

sry if it is wrong i needed pionts and had the same problem hope this helps though ((((P:))))))

Answer:

3/4...............

Step-by-step explanation:

have a nice day

Answer:

[tex]x \leq -\frac{1}{4}[/tex]

Step-by-step explanation:

I hope this helps!

Answer:

The Length is 56 feet

Step-by-step explanation:

w + w + 8 + w + 8 + w = 208  (two sides have a width of w and 2 sides have the length of 8 + w)

Combine the w/s and the 8's

4w + 16 = 208  Subtract 16 from both sides of the equation

4w = 192  Divide both sides by 4

w = 48  The width is 48 feet.  That means that the length is 8 feet longer or 56 feet.

Check:

48 + 48 + 56 + 56 = 208

208 = 208

Answer: It's me again ;) The answer is 778,095

Step-by-step explanation: Find 90% of 864,550.

Answer:

I found out there has to be more than one answer to mark someone brainliest so this is me from another account!  

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

2/3 of 45 is 30

Answer:

90

.......................................

By using addition and subtraction, we get that, John cannot eat half that is 4 / 8 of the pizza the next day.

Let the total pizza be 1.

On the first day, the fraction of pizza that John ate = 3 / 8

On the next day, the fraction of pizza that John ate = 1 / 4

Total pizza that John ate till now will be calculated using addition:

3 / 8 + 1 / 4

3 / 8 + 2 / 8

5 / 8

Now, the pizza that is left will be calculated by subtracting the pizza that he ate from the total pizza that he had.

1 - 5 / 8

8 / 8 - 5 / 8

3 / 8

We can see that the half pizza is not left.

So, he cannot eat half that is 1 / 2 or 4 / 8 pizza the next day.

Therefore, by using addition and subtraction, we get that, John cannot eat half that is 4 / 8 of the pizza the next day.

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Answer: 8√3.

Step-by-step explanation:

First, look for any perfect squares that can fit into 192 snugly.

If we look for factors of 192, we can discover that the largest perfect square that can fit into it is 64 (and 3).

The √ of 64 is 8.

The √ of 3 cannot be simplified any further.

Thus, leaving us with our answer of 8√3.

Answer:

9⁶

Step-by-step explanation:

9 is the number you are multiplying

6 is how many times you are multiplying the 9

Answer:9^6

Step-by-step explanation:

count  each time 9 is times to get the answer.

Answer:

Sophia: Deep Ocean, Heather: Soft Sky, Mia: Peacock Feathers

Step-by-step explanation:

If the first statement is true:

If the second statement is true:

If the third statement is true:

If the fourth statement is true:

Out of all of these, only the third statement has no doubles.

Answer:

286.44 miles........

Answer:

Step-by-step explanation:

Let collections of my books=x

collection of books in my father =y

[tex]\frac{x}{5} +\frac{2}{3}y=250[/tex]

The average rate of change of f(x) = 1/(x + 12) on the given interval is expressed as: [tex]\frac{-1}{19(h + 19)}[/tex]

Given the function, f(x) = 1/(x + 12), the average rate of change of f(x) on the interval, [7, 7 + h], can be calculated using the formula:

Average rate of change = f(b) - f(a)/b - a.

a = 7

f(a) = f(7) = 1/(7 + 12) = 1/19

b = 7 + h

f(b) = f(7 + h) = 1/(7 + h + 12) = 1/(h + 19)

Plug in the values into the average rate of change formula

Average rate of change = 1/(h + 19) - 1/19 ÷ 7 + h - 7

Average rate of change = [19 - (h + 19)]/19(h + 19) ÷ h

Average rate of change = (19 - h - 19)/19(h + 19) × 1/h

Average rate of change = -h/19(h + 19) × 1/h

Average rate of change = -1/19(h + 19) × 1/1

Average rate of change = [tex]\frac{-1}{19(h + 19)}[/tex]

Therefore, the average rate of change of f(x) = 1/(x + 12) on the given interval is expressed as: [tex]\frac{-1}{19(h + 19)}[/tex].

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Answer:

714.439

Step-by-step explanation:

You multiply 659.99 • 1.0825

The 1 is so that you don’t have to add later. The .0825 is your percentage. Hope this helps.

The hospital can get 4.15 milligrams from these three companies.

A linear equation is one in which the highest power of any variable is not more than 1. A linear equation in 2 variables can be solved by substitution method, if we have two simultaneous equations.

Here, we know that

Company A's supply of medicine = 1.7 mg

also, company A's supply = 2( B's supply - C's supply)

⇒ 1.7 = 2( B - C)

⇒ 1.7 = 2B - 2C .... (1)

Moreover, we are given that

A's supply = C's supply + 0.9

⇒ 1.7 = C + 0.9

⇒ 1.7 - 0.9 = C

⇒ 0.8 = C

Now, substituting the value of C in (1), we get,

1.7 = 2B - 2(0.8)

1.7 = 2B - 1.6

1.7 + 1.6 = 2B

⇒ B = 3.3/2

B = 1.65

Thus, the total supply from all three companies is (1.7 + 1.65 + 0.8) = 4.15 mg

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Answer:

11.9 cm

Step-by-step explanation:

1 in ≈ 2.54 cm

4.7 in ≈ 2.54(4.7) cm

2.54(4.7) = 11.938 cm

11.938 cm rounded to the nearest tenth is 11.9 cm.

Answer: 11.9

Step-by-step explanation:

The conversion rate is 1 inch to 2.54 centimeters. Using this we can setup the equation [tex]4.7 in * \frac{2.54 cm}{1 in}[/tex]. The inches units will cancel and you will end up with 11.938 cm. Rounded to the nearest tenth and you get 11.9.

Answer:

11 pound turkey

Answer:

the 11 pound turkey its not that expensive than the other one

9514 1404 393

Answer:

  Q'(-6, 9), R'(-9, 3), T'(6, -3), W'(6, 12)

Step-by-step explanation:

Each of the individual coordinate values is multiplied by 3.

  (x, y) ⇒ (3x, 3y)

__

  Q(-2, 3) ⇒ Q'(-6, 9)

  R(-3, 1) ⇒ R'(-9, 3)

  T(2, -1) ⇒ T'(6, -3)

  W(2, 4) ⇒ W'(6, 12)

Answer: c.

Step-by-step explanation: An Irrational Number is a real number that cannot be written as a simple fraction

Based on the percentage that took the test from Canada, the United States, the Caribbean and Latin America, the percentage who took the test in 2018 from the Americas was 35.90%.

The total percentage of people who took the test in 2018 from the Americas can be found as:

= Percentage from Canada + United States + Mexico, the Caribbean, or Latin America

= 2.4% + 30.3% + 3.2%

= 35.90%

The rest of the question is:
The Graduate Management Admission Test (GMAT) website provides the following information about the geographic region of citizenship of those who took the test in 2018: 1.9% were from Africa; 0.3% were from Australia and the Pacific Islands; 2.4% were from Canada; 14.3% were from Central and South Asia; 36.1% were from East and Southeast Asia; 1.7% 1 were from Eastern Europe; 3.2% were from Mexico, the Caribbean, and Latin America;

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Answer:

lien earned 29950, husband earned 28650

Step-by-step explanation:

you subtract 1300 from the total then divide by 2 and add the 1300 to liens half.

Answer:

A. Is true

B. Is true

C. False

Step-by-step explanation:

Communism

Answer:

45th term is 85

Step-by-step explanation:

We use the definition of the nth term of an arithmetic sequence:

[tex]a_n=a_1+(n-1)\,d[/tex]

which for our case gives:

[tex]a_n=a_1+(n-1)\,d\\a_n=-3+(45-1)\,2\\a_n=-3+44*2\\a_n=-3+88\\a_n=85[/tex]

Answer:

a = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

When working with fractions, I would mostly like to make the denominators the same first.  

[tex]\frac{2}{3}[/tex]a - [tex]\frac{1}{6}[/tex] = [tex]\frac{1}{3}[/tex]

Make all the denominators 6.

[tex]\frac{4}{6}[/tex]a - [tex]\frac{1}{6}[/tex] = [tex]\frac{2}{6}[/tex]

Isolate [tex]\frac{4}{6}[/tex]a.

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

   = [tex]\frac{3}{6}[/tex]

Find a.

[tex]\frac{6}{6}[/tex]a = [tex]\frac{6}{4}[/tex] × [tex]\frac{3}{6}[/tex]

a = [tex]\frac{3}{4}[/tex]

The slope of the graph of y = f(x) is 3

The y-intercept of the line = -5

Equation for the line in slope - intercept form is y = 3x - 5

Given table of linear function is:

x     |    y

-2      -11

-1        -8

0       -5

1        -2

2         1

3        4

Slope = Change in y values/ Change in x-values

          = -8 --11/-1--2 = 3

Also -5 --8/0--1 =3, -2--5/1-0 = 3, 1--2/1-0 = 3, 4-1/3-2 = 3

So the slope is constant and is m = 3.

y-intercept is the y-value corresponding to when x = 0.

Here, when x = 0, y = -5.

So the y-intercept, c = -5

The equation for the linear function in slope-intercept form is,

y = mx + c , where m is the slope and c, the y-intercept of the function.

So here, the slope-intercept form of the function is,

y = 3x - 5

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