Determine the equation of a circle whose diameter has the endpoints (-1, 2) and (7.
-4).
1) (x - 3)2 + (y + 1)2 = 5
2) (x - 3)2 + (y + 1)2 = 25
3) (x - 3)2 + (y + 1)2 = 100
4) (x - 3)2 + (y + 1)2 = 10

Answer:

-5r + 5

Step-by-step explanation:

We simply simplify by adding like terms. Only thing we can combine are the constants -5 and 10, which we get 5. So then our answer is -5r + 5.

Answer:

5(1-r)

Simplified expression 5-5r

Step-by-step explanation:

Answer:

Stop A and Stop B

Step-by-step explanation:

Data for a Trolley

Stops                                  Distance           Time

From Stop A to Stop B      150 meters       50 seconds

From Stop B to Stop C      200 meters      50 seconds

From Stop C to Stop D      360 meters      60 seconds

From Stop D to Stop E      280 meters      40 seconds

From definition: speed = distance/time

Answer:

2 1/24

Step-by-step explanation:

you first need to convert them to the same least common denominator

the common denominator is 24

so 18/24 plus 15/24 plus 16/24

which is 49/24 which is 2 1/24

hope this helps

Answer:

There are 81 numbers

Step-by-step explanation:

Imagine that you have 4 boxes (one for each digit). In each box, you only have 3 choices for what digit you will do. You have to multiply all of the options (3*3*3*3) and you get 81.

Answer:

3

Step-by-step explanation:

Answer:

y=3

Step-by-step explanation:

Answer:

x=(27)^2+y^2

 =√729+y^2( root of 729+y^2)

 = 27+√y^2

Answer:

solution,

[tex] {y}^{2} = 3 \times 27 \\ {y}^{2} = 81 \\ y = \sqrt{81} \\ y = \sqrt{ {9}^{2} } \\ y = 9 \\ \\ {y}^{2} + {27}^{2} = {x}^{2} \\ or \: {9}^{2} + {27}^{2} = {x}^{2} \\ or \: 81 + 729 = {x}^{2} \\ or \: 810 = {x}^{2} \\ or \: x = \sqrt{810} \\x = 9 \sqrt{10} [/tex]

hope this helps...

Good luck on your assignment..

Answer:

0.75

Step-by-step explanation:

Out of the 8 tiles, 6 of them are not a blue A so the chance of not drawing a blue A is 6/8 = 0.75.

Answer: 3/4

Step-by-step explanation:

There are 8 choices, 2 of which are blue A's.  Thus, 6 out of the eight options are NOT blue A's.  Therefore, you have a 6/8, or 3/4 chance of not drawing a blue A.

Hope it helps <3

Answer: No real solutions

Step-by-step explanation:

2(x-1) = 2x +5

Step 1: Distribute the 2 to the parenthesees

2x - 2 = 2x + 5

Step 2: Put the variables on one side and the constants on the other. (add/subtract)

0x = 7

Now, because 0 does not equal 7, there are no real solutions to this problem.

Answer:

B

Step-by-step explanation:

Since opposite angles in a parallelogram are congruent, ∠B = ∠D which means:

5y + 31 = 96

5y = 65

y = 13°

Additionally, opposite sides of a parallelogram are congruent, therefore AB = CD which means:

x² - 18 = 7x

x² - 7x - 18 = 0

(x - 9)(x + 2) = 0

x = 9° or -2°

Answer:

Step-by-step explanation:

SINCE IT IS A PARALLELOGRAM,

AB=CD

and B = D

therefore x= 9, y=13

hope it helps

Answer:

8

Step-by-step explanation:

because thats the answer

Answer:

It is going to be 8

Step-by-step explanation:

usign a tree diagram

orin simple

2 *2*2 is 8

Answer: P(AB) = 3/8

Step-by-step explanation:

You simply multiply P(AuB) by P(B)

3/7 * 7/8 = 3/8

Answer:

√61

Step-by-step explanation:

d=√(x2 - x1)^2 + (y2 - y1)^2

√(-9-(-15))^2 + (8-3)^2

√61

The distance between points P(-15, 3) and Q(-9, 8) is √61 units.

Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.

The given points are,

P(-15, 3) and Q(-9, 8).

The distance between two points A(x₁, y₁) and B(x₂, y₂)

Distance

= √(x₂ - x₁)² + (y₂ - y₁)²

To find the distance between points PQ,

Use formula

PQ = √(-9 - (-15))²+(8 - 3)²

= √(-9 + 15) ²+(5)²

= √(6) ²+(5)²

= √36 + 25

= √61

The required distance between given points is √61 units.

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Answer:

$3,033.56

Step-by-step explanation:

(see attached for reference)

The formula for compound interest is given by

A = P [ 1 + (r/n) ]^(nt)

Where,

A = final amount (we are asked to find this)

P = principal = given as $1500

r = annual interest rate = 9% = 0.09

n = 2 (for compounding semi-annually)

t = time, given as 8 years

Substituting the above into the equation:

A = P [ 1 + (r/n) ]^(nt)

A = 1500 [ 1 + (0.09/2) ]^[(2)(8)]

A = 1500 [ 1.045) ]^[16]

A = $3,033.56

Answer:

I mean you dont got no graph

Step-by-step explanation:

butttttt.....

The graph wit a straight line that intersects the y-axis at -4 and goes up by 2 and to tha right by 1.

Answer:

Theres no graph

Step-by-step explanation:

Answer:

#'s 1 and 4

Step-by-step explanation:

1.) 14-9=5 and 14+(-9)=5

2.) 18-6=12 and -18+6=-12

3.) -7-22=-29 and 22-(-7)=29

4.) 3-30=-27 and  3+(-30)=-27

5.) 10-5=5 and 5-10=-5

Answer:

fred made 3 dollars

Step-by-step explanation:

47+3=50

Answer:

La cantidad de litros que ocupa dicho líquido es:

Step-by-step explanation:

El volumen de un líquido puede obtenerse al tener tanto su densidad como su masa usando la siguiente fórmula:

Al despejar volumen se obtiene:

Por lo cual, si se reemplazara la fórmula quedaría:

Sin embargo, para operar, las unidades en las que se expresa la masa deben coincidir con las unidades de la densidad, por lo cual vamos a convertir las libras en gramos teniendo en cuenta el siguiente factor de conversión:

1 libra = 453,592 gramos

Entonces:

7 lb =  453,592 gr * 7 = 3175,144 gr

Ahora este valor reemplaza la masa en la fórmula y calculamos:

A simple vista ya se tiene el volumen del líquido en cuestión, sin embargo, el ejercicio pide que sea expresado en litros, por lo cual vamos a convertir los centímetros cúbicos en litros teniendo en cuenta el siguiente factor de conversión:

1 litro = 1000 centímetros cúbicos.

Ahora podemos aplicar una regla de tres simple, si:

Y operamos:

O si quieres un valor aproximado:

Entonces, la cantidad de litros teniendo en cuenta la densidad y la masa brindadas es 2,12 litros.

Answer:

20 cookies

Step-by-step explanation:

Change from minutes and seconds to seconds

1 minute 30 seconds = 90 seconds

3 minutes 45 seconds = 3 *60 +45 = 180+45 = 225 seconds

Now we can use ratios to solve

8 cookies          x cookies

-------------   = -----------------

90 seconds         225 seconds

Using cross products

8 * 225 = 90x

Divide each side by 90

1800/90 = 90x/90

20 =x

Answer:

x≈14.28

Step-by-step explanation:

cos32° = 12/x

so : x= 12/cos32° = 12/0.84 = 14.28

Answer:

k= 7/4

Step-by-step explanation:

2x²+px-15=0

One of roots is -5, then:

----

p(x²+x)+k=0

replacing value of p:

it has equal roots, then the discriminant is zero:

b² - 4ac=0

Answer:

Answer should be A

Step-by-step explanation:

-7/2 divided by 49/4

Change in temperature per hour would be found by dividing the change in temperature by the amount of time.

Rewrite the numbers as improper fractions and the answer would be d.

-49/4 / 7/2

Answer:3 ⋅ ( 4 ⋅ 5 ) = 23 a ⋅ b = a ( b a ) + b = a = 2

Step-by-step explanation:

The common fraction for the given expression is 60/47.

A fraction represents part of a whole. When something is broken up into a number of parts, the fraction shows how many of those parts you have.

Given that an expression, 3*(4*5) such that, a*b= ab/a+b

Solving the expression as per the given formula,

4*5 = 4×5/(4+5) = 20/9

Now,

3*(4*5) can be written as, 3*20/9

Therefore,

3*20/9 = 3×20/9/(3+20/9)

= 20/3×9/47

= 60/47

Hence, the common fraction for the given expression is 60/47.

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Answer: A

Step-by-step explanation:

Given that y varies inversely with x, that is,

Answer:

A.

[tex]Point\ C = (2,-1)[/tex]

Step-by-step explanation:

Given

[tex]A = (2,-6)[/tex]

[tex]B = (10,2)[/tex]

[tex]m:n = 5:3[/tex]

Required

Determine the coordinates of C

Since, point D divides line AB in ratio, 5 : 3;

We start by calculating the coordinates of D;

This is done as follows;

[tex]D(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]

Where

[tex](x_1,y_1) = (2,6)[/tex]

[tex](x_2,y_2) = (10,2)[/tex]

[tex]m:n = 5:3[/tex]

[tex]D(x,y) = (\frac{5 * 10 + 3 * 2}{5+3},\frac{5 * 2 + 3 * -6}{5+3})[/tex]

[tex]D(x,y) = (\frac{50 + 6}{8},\frac{10 - 18}{8})[/tex]

[tex]D(x,y) = (\frac{56}{8},\frac{-8}{8})[/tex]

[tex]D(x,y) = (7},-1)[/tex]

Since AC is vertical

Then, Point C has the same x coordinate as A

[tex]x-coordinate = 2[/tex]

Similarly;

Since CD is horizontal

Then, Point C has the same y coordinate as D

[tex]y-coordinate = -1[/tex]

Hence,

[tex]Point\ C = (2,-1)[/tex]

Answer:

Option A

Step-by-step explanation:

A. (2, -1)

Answer:

1.6%

Step-by-step explanation:

The cumulative distribution function (CDF) of a random variable X is denoted by F(x), and is defined as

F(x) = P(X ≤ x). where x is the largest possible value of X that is less than or equal to x

z = (x-μ)/σ,

where:

x is the raw score = 205

μ is the population mean, = 220 pounds

σ is the population standard deviation = 7 pounds

205 -220/7

z = -15/7

z = -2.1428571429

Using the normal cdf function on your graphing calculator,the cumulative distribution is

normalcdf( -2.1428571429, 100)

= 0.01606229

In percent form = 0.01606229 × 100

= 1.6%

Answer:

c and d

Step-by-step explanation:

rise/run

for every 2 that c and d progress positive on the x-axis, it only rises 1 on the y-axis

Answer:

7

Step-by-step explanation:

Hello

I assume that you want to know the element [tex]t_{13}[/tex]

Then, the element [tex]t_{13}[/tex] is the element in row 1 and column 3

therefore

the answer is 7

hope this helps

Answer:

52

Step-by-step explanation:

The next one is 63 minutes because 54+9=63

Answer:

1.) Newton 3rd law

2.) Newton 1st law

3.) Newton 2nd law.

Step-by-step explanation:

1.)  I pull on the Earth because Earth pulls on me. This can be identified as Newton 3rd law of motion. The law state that, in every action, there must be equal and opposite reaction.

As the earth pulls on you, the reaction to that action which is equal and opposite is you pulling back on earth.

2.) The velocity of a falling object isn’t constant because Earth’s gravity exerts a force on it. This can be identified by Newton 1st law of motion which state that: an object will continue to be at rest or in a linear motion except an external force act on it.

The velocity of a falling object suppose to be constant if there is no external force. But it isn’t constant because Earth’s gravity exerts a force on it.

3.) If air resistance is ignored, the acceleration of a falling object is equal to the ratio of the force of gravity to mass. This can be identified by Newton 2nd law of motion which state that: The rate of change in momentum is proportional to the applied force. Or

F = ma

Where F = applied force

M = mass of the object

a = acceleration

If air resistance is ignored,

F = mg

where g = acceleration due to gravity.

Answer:

1. Newton 3rd law

2. Newton 1st law

3. Newton 2nd law.

Step-by-step explanation:

Parallel lines are being constructed based on the markings in the following diagram.

When two lines never meet each other even after extending them on the either side are called parallel lines.

1. First we have to draw a straight line and then any point of it draw any angle.

2. After that, on the second line take a point. Copy the first angle on it.

3. Draw the line to complete the copied angle and there you have parallel lines.

Hence, the construction indicated in the diagram is of parallel lines.

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