what is the equation of a line that passes through (4,6) and is parallel to y=2x+2 ?

Answer:

La ecuación del círculo en la forma es (x - 145/12)² + (y - 109/16)² = (545/48)²

Step-by-step explanation:

La información dada son;

La primera línea tangente al círculo en el punto (10, -1) = 3·x - 4·y = 34

La segunda línea tangente al círculo en el punto (3, 0) = 4·x + 3·y = 12

Las rectas tangentes dadas en forma de pendiente e intersección, y = m·x + c son;

3·x - 4·y = 34

4·y = 34 - 3·x

y = 34/4 - 3/4·x = 8.5 - 3/4·x

Primera tangente

y = 8.5 - 3/4·x

3·y = 12 - 4·x

y = 12/3 - 4/3·x = 4 - 4/3·x

Segunda tangente

y = 4 - 4/3·x

La recta de la ecuación de los radios es perpendicular a la tangente y se encuentra con la tangente en el punto de intersección con el círculo como sigue;

La primera ecuación radial tiene pendiente, m = 1/(-3/4) = 4/3

La ecuación en forma de punto y pendiente es y - (-1) = 4/3×(x - 10)

y = 4/3×(x - 10) - 1 = 4/3·x - 40/3 - 1 = 4/3·x - 43/3

Por tanto, la ecuación del primer radio es;

y = 4/3·x - 43/3

La segunda ecuación radial tiene pendiente, m = 1/(-4/3) = 3/4

La ecuación en forma de punto y pendiente es y - 0 = 3/4×(x - 3)

y = 3/4×(x - 3) = 3/4·x - 9/4

Por tanto, la ecuación del segundo radio es;

y = 3/4·x - 9/4

Los dos radios se encuentran en el centro dado como sigue;

4/3·x - 43/3 = 3/4·x - 9/4

4/3·x - 3/4·x  = 43/3 - 9/4

7/12·x = 145/12

x = 145/12

y = 3/4·x - 9/4 = 3/4·145/12 - 9/4 = 109/16

Las coordenadas del centro = (h, k) = (145/12, 109/16)

La longitud del radio, r = √((109/16 - 0)² + (145/12 - 3)²) = 545/48

La ecuación del círculo en la forma (x - h)² + (y - k)² = r² es, por lo tanto;

(x - 145/12)² + (y - 109/16)² = (545/48)².

Answer: 30/4

Step-by-step explanation:

Answer: 11.1 m

Step-by-step explanation:

This can be solved by the Pythagorean theorem where;

c² = a² + b²

c is the hypotenuse which is the distance from the top of the building to the tip of the shadow.

a is the height

c is the length

32² = 30² + b²

b² = 32² - 30²

b² = 1,024 - 900

b² = 124

b = √124

b = 11.1 m

The car's position can be described with the linear function below:

y = (-48.7 mi/h)*x + 400 mi

We know that the car is initially at a distance of 400 miles from Yuma. We also know that the car moves at a constant rate (steady speed) then its position will be described by a linear equation:

y = a*x + b

Where y is the distance, a is the slope and b is the y-intercept.

Knowing the initial distance, we can write:

y = a*x + 400mi

And we know that after 7 hours, the car is at 59 mi, then we can write:

59 mi = a*7h + 400mi

59mi - 400mi = a*7h

-341 mi = a*7h

-341mi/7h = a

-48.7mi/h = a

Then the equation that describes the distance from Yuma is:

y = (-48.7 mi/h)*x + 400 mi

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Answer:

y=-50x+400

Step-by-step explanation:

Took the text

Answer: 15

Step-by-step explanation:

Answer:

I think it is 7.86.

Step-by-step explanation:

You should change 8 1/3% to a decimal that equals 8.33333333333. I then had took 64/8.33333333333 which equaled 7.86.

If this helped please feel free to click the thanks button below. Thank you! :-D

Answer:

295,245

Step-by-step explanation:

It is always multiplying by 3.

5, 15, 45, 135, 405, 1215, 3645, 10935, 32805, 98,415, 295245

Answer:

885735

Step-by-step explanation:

Answer: 19 is my answer 19 is left over

Answer:

1. 1/2, 2. 2, 3. 1/-3, 4. -2

Step-by-step explanation:

1) I know that the equation for slope is y2-y1/x2-x1. For number one I first found two points of the graph which is (0,3) and (2,4) (not sure if I see it correctly, its kind of blurry). I decided that (0,3) would be my y1 and x1 and (2,4) will be my y2 and x2. I later plugged the number in the equation and got 4-3/2-0 which the answer turns out to be 1/2.

2) For the rest of the questions it is kinda the same business as question 1. For question two I chose two points out of the table which wrer (-1, -12) and (1,-8) and plugged them into the equation and got -8-(-12)/1-(-1) which the answer turns out to be 2.

3) similar to question 2. The two points(2,-6) and (-4,-3) are given to you. so I plugged them in again and got -3-(-6)/-4-2 which the answer turns out to be 3/-6 into 1/-3.

4) Same with question 1 find two points of the graph. I chose (0,3) and (1,1) (again might not be accurate it's kind of blurry) I plugged them into the equation again and got 1-3/1-0 which equals -2.

Just always remember y2-y1/x2-x1=m is the equation for slope.

(m is the variable for slope)

Hoped this helped you : )

Answer:

the slope for a is [tex]\frac{12}{3}[/tex] but in simplest form 4

the slope for b is 0

Step-by-step explanation:

hope this helped :-)

Answer:

4.) 5.3333333....

Step-by-step explanation:

Rational numbers are either repeating decimals:

[tex]\frac{1}{3}= 0.333333333....[/tex]

Include terminating decimals:

[tex]\frac{1}{8}= 0.125[/tex]

Are all numbers that can be written as a quotient of integers:

[tex]\frac{a}{b},b\neq 0[/tex]

Options (1), (2), and (3) are neither repeating, terminating, and can't be written as a quotient of integers.

Option (4) has repeating decimals, so this is rational.

:Done

I cannot see the text. If you take another picture zoomed in I will answer it.

Answer:

The country Australia had the greatest percentage of its students report being right hand dominant with approximately 86%

Answer:

P = 2(l + w)

P = 2l + 2w

Complete Question

The complete question is shown on the first uploaded image

Answer:

The correct option is  C

Step-by-step explanation:

The  sample  

                                                                                          Household Income

                                                                                     < $60,000    > $60,000

I would never purchase a newspaper subscription.          40                63

I might or might not purchase a newspaper subscription. 53                70

I would probably purchase a newspaper subscription.     65                 32

I already purchase a newspaper subscription.                   73                 16

Generally the sample size is mathematically represented as

       [tex]n = 40 + 53 + 65+ 73 + 63 + 70 + 32+ 16[/tex]

=>    [tex]n = 412[/tex]

Generally the number of the sample with an income greater $60,000 is mathematically represented as

        [tex]N = 63 + 70 + 32 + 16[/tex]

=>     [tex]N = 181[/tex]

Generally the number of  families with an income more than $60,000 who might or might not purchase a newspaper subscription is

      [tex]X = 70[/tex]

Generally the percentage of families with an income more than $60,000 who might or might not purchase a newspaper subscription is

           [tex]P(X) = \frac{70}{181} * 100[/tex]

=>        [tex]P(X) = 39\%[/tex]

Answer:

7

Step-by-step explanation:

ΔABM and ΔDCM

4x - 1 = 3x + 6

4x - 3x = 6 + 1

x = 7

Answer:

C. 7

Step-by-step explanation:

Find the diagram to the question attached. Two congruent triangles has all its sides to be equal. This means that the sides of ΔABM will be equal to that of ΔDCM (SSS rule).

Given

BM = 3x+6

MC =4x-1

Since both triangles are congruent, then BM = MC

Next is to get x;

3x+6 = 4x-1

collect like terms'

3x-4x = -1-6

-x = -7

multiply through by -1

-(-x) = -(-7)

x = 7

Hence the value of x that will make triangles ABM and DCM congruent is 7

Answer: 3:20

Step-by-step explanation: There are 6 blue marbles. Altogether, there are 40 marbles. So it would be 6:40, which simplifies to 3:20.

Answer:

24 hours per day

Step-by-step explanation:

The Measure of <FBA is 62 degree.

When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. The total of angles of a linear pair is always equal to 180°.

Given:

m∠FBE=(4x+2)° and m∠EBD=(5x−13)°

as, FB bisects <EBA

So, <EBF = <FBA

and,  EB bisects <FBD

So, <FBE= <EBD

4x+ 2 = 5x -13

x= 15

So, <EBF = <FBA = 4x+ 2 = 4(15)+ 2 = 62

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Answer:

On the number line:

a) 0.6666666667 scoops per powder

b) 0.625 scoops per powder

Step-by-step explanation:

For the Noah and Andres question:

To make orange fizz Noah mixes 4 scoops of powder with 6 cups of water.

Unit rate = scoops per cup

= 4 Scoops/6 cups

= 2/3 scoops per powder

= 0.6666666667 scoops per powder

Andre mixes 5 scoops of powder with 8 cups of water what would that look like on a double number line?

Unit rate = scoops per cup

= 5 Scoops/8 cups

= 0.625 scoops per powder

Answer:

10 spiders

18 grasshoppers

Answer:

if your doing it in scientific notation it would be 2.3x10 with the lil 6 above the 10

Step-by-step explanation:

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Standard form :

[tex]2,300,000[/tex]

_________________________________

Science notation :

[tex]2.3 \times {10}^{6} [/tex]

_________________________________

Science E notation :

[tex]2.3 \: E6[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

On the screenshot (y=x+10)

Step-by-step explanation:

Have a great day!

Answer:

-6.3 degrees

Step-by-step explanation:

First I formed the equation 10.4-16.7=x, which the answer came to be -6.3 degrees.

Answer:

Gracie eats 120 more.

Step-by-step explanation:

i know that 160 - 40 = 120

Answer:

63.84

Step-by-step explanation:

Answer:

63.84

Step-by-step explanation:

Multiply both numbers without the decimal point then move the decimal point 2 places to the left.

Answer:

The distribution is approximately normal with mean = 2.8 and standard error = 0.4

Step-by-step explanation:

We are given;

Mean; μ = 2.8

Standard deviation; σ = 4

Sample size; n = 100

Now, the central limit theorem states that the sample mean with a sample size(n) from a population mean (μ) and population standard deviation(σ) will, for large value of n, have an approximately normal distribution with mean μ and standard error as (σ/√n)

The sample size is 100 and thus it's very large because it's bigger than minimum of 30 for approximate distribution.

Thus, SE = (σ/√n) = 4/√100 = 4/10 = 0.4

Thus,from the central limit theorem I described, we can say that the distribution is approximately normal with mean = 2.8 and standard error = 0.4

Answer:

Step-by-step explanation:

Given

amount of  salamanders, = 5

amount of crayfish = 3

amount of minnows = 12

Total fish = Total outcome = 5+3+12

Total outcome = 20

Since we are looking for the probability of selecting  salamanders, our expected outcome will be 5.

Probability = expected outcome/total outcome

Pr( salamanders,) = 5/20

Pr( salamanders) = 1/4

Hence the probability of selecting  salamanders, is 1/4