Please classify the following equations as parallel, perpendicular, intersecting, or coinciding (same line):

y = 3x + 2

9x - 3y = -6

The rate at which the y-coordinate of the jogger is changing is \({-\frac{3}{4}}\) times the rate at which the x-coordinate of the jogger is changing.

Given information:

Radius of the circular track = 75 ft

Coordinates of the jogger: (45, 60)

We know that the coordinates of a point in the Cartesian plane can be represented as (x, y), where x represents the horizontal displacement and y represents the vertical displacement.

Let us now consider a jogger who runs around a circular track of radius 75 ft, with the center of the track being the origin. Therefore, the horizontal and vertical displacements of the jogger will be its coordinates, respectively.

Let us now consider a right-angled triangle with the hypotenuse representing the radius of the circular track, and the vertical and horizontal sides representing the y and x coordinates of the jogger, respectively. Since the radius of the circular track is constant, we can use the Pythagorean theorem to relate x and y.

Since we know that the radius of the track is 75 ft, we can say that:

\(\[x^2 + y^2 = 75^2\]\)

Differentiating with respect to time t, we get:

\(\[\frac{d}{dt}(x^2 + y^2)\)

= \(\frac{d}{dt}(75^2)\]\\\2x \cdot \frac{dx}{dt} + 2y \cdot \frac{dy}{dt} = 0\]\)

Now, since we are given that the jogger's coordinates are (45, 60), we can substitute these values to obtain:

\(\[2(45) \cdot \frac{dx}{dt} + 2(60) \cdot \frac{dy}{dt} = 0\]\)

On solving, we obtain:

\(\[\frac{dy}{dt} = -\frac{3}{4}\cdot \frac{dx}{dt}\]\)

Hence, the rate at which the y-coordinate of the jogger is changing is \({-\frac{3}{4}}\) times the rate at which the x-coordinate of the jogger is changing.

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Answer:

do you know what coins they and how much their worth  if you do that is your answer

Step-by-step explanation:

Answer:

A. It is the result of the photoelectric effect.

Step-by-step explanation:

Answer:A

Step-by-step explanation:

The answer for b is 18 ; 2×6 +3×2

then for c. 24; 2×6×2

Answer:

Step-by-step explanation:

        3/5*(n+25)-(10+2/5*n)=0

Step by step solution :

STEP

1

:

           2

Simplify   —

           5

Equation at the end of step

1

:

  3                        2

 (— • (n + 25)) -  (10 +  (— • n))  = 0

  5                        5

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  5  as the denominator :

          10     10 • 5

    10 =  ——  =  ——————

          1        5  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

10 • 5 + 2n     2n + 50

———————————  =  ———————

     5             5  

Equation at the end of step

2

:

  3                (2n + 50)

 (— • (n + 25)) -  —————————  = 0

  5                    5    

STEP

3

:

           3

Simplify   —

           5

Equation at the end of step

3

:

  3                (2n + 50)

 (— • (n + 25)) -  —————————  = 0

  5                    5    

STEP

4

:

Equation at the end of step

4

:

 3 • (n + 25)    (2n + 50)

 ———————————— -  —————————  = 0

      5              5    

STEP

5

:

STEP

6

:

Pulling out like terms :

6.1     Pull out like factors :

  2n + 50  =   2 • (n + 25)

Adding fractions which have a common denominator :

6.2       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3 • (n+25) - (2 • (n+25))     n + 25

—————————————————————————  =  ——————

            5                   5  

Equation at the end of step

6

:

 n + 25

 ——————  = 0

   5  

STEP

7

:

When a fraction equals zero :

7.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 n+25

 ———— • 5 = 0 • 5

  5  

Now, on the left hand side, the  5  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  n+25  = 0

Solving a Single Variable Equation:

7.2      Solve  :    n+25 = 0

Subtract  25  from both sides of the equation :

                     n = -25

One solution was found :

n = -25

Answer:

n=-25

Step-by-step explanation:

3/5n+15=10+2/5n

1/5n=-5

n=-25

The equation of the line that is perpendicular to the line x+4y = -4 and passes through the origin (0,0) is 4x - y = 0.

To find the equation of a line perpendicular to another line, we need to determine the negative reciprocal of the slope of the given line.

The given line, x+4y = -4, can be rewritten in slope-intercept form as y = (-1/4)x - 1. The slope of this line is -1/4.

The negative reciprocal of -1/4 is 4/1, which is the slope of the perpendicular line.

Using the point-slope form of a line, we have y - y₁ = m(x - x₁), where (x₁, y₁) represents a point on the line. Since the perpendicular line passes through the origin (0,0), we can substitute x₁ = 0 and y₁ = 0 into the equation.

Therefore, the equation of the line perpendicular to x+4y = -4 and passing through the origin is y - 0 = (4/1)(x - 0), which simplifies to 4x - y = 0.

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The matrix can be represented as:

\(\left[\begin{array}{ccc}1&0&0\\0&1&1\\0&0&0\end{array}\right]\)

Therefore, the matrix is an identity matrix.

The matrix can be represented as:

\(\left[\begin{array}{ccc}8\\-1\\0\end{array}\right]\)

​

Therefore, the matrix is a column matrix.

The matrix can be represented as:

\(\left[\begin{array}{ccc}0&0&0\\0&0&0\\0&0&0\end{array}\right]\)

Therefore, the matrix is a zero matrix.

The matrix can be represented as:

\(\left[\begin{array}{ccc}14&5&6\\4&5&6\\\end{array}\right]\)

Therefore, the matrix is a row matrix.

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Answer:

C) y=4x-5

Step-by-step explanation:

Answer: the answer is B

Step-by-step explanation:

Answer:

Step-by-step explanation:

The equation for a line is y = mx + b, where m is the slope and b is the y-intercept. For plant A, the slope is 1 and the y-intercept is 6. So, the equation for the line is y = x + 6.

Answer:

Step-by-step explanation:

After reflection about y-axis, A'B'C' must be translated down 6 units to create image DEF.

ABC and DEF are congruent due to the following common properties of reflections and translations.

1. does not change the nature of geometric elements, i.e. maps a line to a line,  a segment to a segment, etc.

2. preserve lenths of segments.

3. preserves angles

By the congruent theorem of SSS, the two triangles are congruent.

The sequence of transformations that proves the triangles congruent is explained in the solution below.

The geometric transformation is a bijection of a set that has a geometric structure by itself or another set. If a shape is transformed, its appearance is changed.

After reflection about y-axis, A'B'C' must be translated down 6 units to create image DEF.

ABC and DEF are congruent due to the following common properties of reflections and translations.

It does not change the nature of geometric elements, i.e. maps a line to a line, a segment to a segment, etc., preserve lengths of segments, and preserves angles.

By the congruent theorem of SSS, the two triangles are congruent.

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Answer:

30 x ^2 y ^2

Step-by-step explanation:

Answer:1/7

Step-by-step explanation: You take the amount that are springer spaniels and you put them with the whole of the dogs in the park 14 so you would have 2/14. You can reduce this fraction to 1/7 by dividing both the top and bottom of the fraction by 2.

By comparing the responses across the three groups, the researcher can identify potential variations in opinions based on educational background. This information can provide valuable insights into how different types of schooling may shape perspectives on civic policies like curfews.

That's an interesting research approach!  By gathering opinions from different groups of children, specifically home-schooled, private school attendees, and public school attendees, the researcher can gain insights into how various educational backgrounds might influence their opinions on the new town curfew.

Collecting a simple random sample from each group ensures that every child within the respective groups has an equal chance of being selected for the survey. This helps in minimizing bias and increasing the generalizability of the findings to the larger population of home-schooled, private school, and public school children.

Once the samples are obtained, the researcher can administer a survey or questionnaire to collect the children's opinions on the new town curfew. The survey may include questions related to their awareness of the curfew, their understanding of its purpose, and their personal opinions on whether they support or oppose it.

By comparing the responses across the three groups, the researcher can identify potential variations in opinions based on educational background. This information can provide valuable insights into how different types of schooling may shape perspectives on civic policies like curfews.

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Answer:

it was i believe .1

Step-by-step explanation:

.1 bc i had done it yesterday and for some reason the girl deleted her answer

Answer:

r=.5 or 1/5

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

-7x+3y=30

3y=7x+30

y=7/3x + 10

if x = 0

y = 10

Answer:

32

Step-by-step explanation:

A negative number multiplied by a negative number is a positive number, so just multiply 8 by 4 to get the answer, 32.

Hopefully this helps - let me know if you have any questions!

\(\huge\text{Hey there!}\)

\(\large\text{If x = 3, y = 2, and z = 4 then substitute it in the given equation!}\)

\(\large\text{Equation: 3 (2) (4)}\\\large\text{3 (2) (4)}\\\large\text{3(2) = 6}\\\large\text{(6)(4) = \bf{ANSWER}}\\\large\text{= \bf{\underline{24}}}\)

\(\boxed{\boxed{\large\text{Answer: \bf{24}}}}\huge\checkmark\)

\(\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

2/7th

Step-by-step explanation:

When you solve an equation for one variable and then substitute the resulting expression in for that variable in the other equation its is known as Substitution method.

I will demonstrate how the substitution method works. Suppose we have the following systems of linear equations with two variables:

Equation 1:  3x + 2y = 11

Equation 2:  -x + y = 3

By solving these two equations we get x=1 and y=4.

Equation 2:  -x + y = 3

-x + x + y = x + 3

y = x + 3

Next, substitute the value of y in Equation 2 (from the previous step), and substitute its value into Equation 1 to solve for x:

Equation 1:  3x + 2y = 11

Substitute y = x + 3 into Equation 1:

3x + 2(x + 3) = 11

3x + 2x + 6 = 11

Combine like terms:

5x + 6 = 11

5x + 6 - 6 = 11 - 6

5x = 5

Divide both sides by 5 to solve for x:

\(\frac{5x}{5} = \frac{5}{5}\)

x = 1

Substitute the value of x into Equation 2 to solve for y:

Equation 2:  -x + y = 3

-1 + y = 3

y = 3 + 1

y = 4

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The length of the rectangle is 7 cm and the width is 5 cm.

The whole distance covered by the rectangle's borders or its sides is known as its perimeter. As we know the rectangle will have 4 sides then the perimeter of the rectangle will be equal to the total of its four sides. And the unit will be in meters, centimeters, inches, feet, etc.        

The formula for the Perimeter of the rectangle is given by

Here we have

The length of a rectangle is 2cm greater than the width of the rectangle

And perimeter of the rectangle = 24 cm

Let x be the width of the rectangle

From the given data,

Length of the rectangle = (x + 2) cm  

As we know Perimeter of rectangle = 2(Length+width)

=> Perimeter of rectangle = 2(x+2 + x) = 2(2x +2)

From the given data,

Perimeter of rectangle =  24cm

=> 2(2x +2) = 24 cm

=> (2x +2) = 12     [ Divided by 2 into both sides ]

=>  2x = 12 - 2

=>  2x = 10

=>   x = 5         [ divided by 2 into both sides ]  

Length of rectangle, (x+2) = 5 + 2 = 7 cm

Therefore,

The length of the rectangle is 7 cm and the width is 5 cm.

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Answer:

128,000

Step-by-step explanation:

I=prt

I=80,000 x 15 x 4

I=128,000

Answer:

$128000

Step-by-step explanation:

Using the given formula :

I = P × R × T

I = 80000 × 15/100 × 4

I = $48000

He saves = 48000 +80000 = $128000

Answer:

False

Step-by-step explanation

First you do 12 x 5 =60 and 12 x 24= 288 then add 60 and 288 which give you 348. Now youre left with 348=44-(5-94)  

Do 5 - 94= -89  then 44-(-89) gave you 133

lastly, you're left with 348=133 which means it's false, the equation does not each!

Answer:

1 5/14

Step-by-step explanation:

Flip it around: 19/14

Turn 19/14 into a mixed number which is:

1 5/14

Answer:

the reciprocal of 14/19 is 19/14 (also can be written as 1.3571)

Step-by-step explanation:

reciprocal of a fraction is the opposite, your numerator becomes the denominator and the denominator becomes the numerator.

the fraction is flipped.

The equation of the circle centered at the origin and passing through the point (-4,0) is \(x^2+y^2=16\).

Equation of a circle

A circle may also be defined as a special kind of ellipse in which the two foci are coincident, the eccentricity is 0, and the semi-major and semi-minor axes are equal.

We know that,

Equation of the circle passing through the origin is given by:-

\(x^2+y^2=r^2\)

Where,

r is the radius of the circle, and

(x,y) are the coordinates of each point of the circle.

Hence, we can write,

The radius of the circle will be :-

\(\sqrt{(0-(-4))^2+(0-0)^2} =\sqrt{ 4^2+0^2} =\sqrt{16}=4 units\)

Hence, r = 4 units.

Hence, the equation of the circle is given by:-

\(x^2+y^2=16\)

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Answer:

I believe that its B, 3(x + 6)= 30

Answer:It is  B    3(x + 6)= 30

A grizzly bear's normal heart rate when not hibernating is 50 beats per minute.

What is a heart rate?

The number of heartbeats that occur in a specific amount of time, usually one minute. The wrist, side of the neck, back of the knees, top of the foot, groin, and other areas of the body where an artery is close to the skin can all detect the heartbeat.

Here,

We let his normal heart rate = h

and given in the question,

20% of h = 10

20/100 * h = 10

h = 10*5

= 50 beats/min

Hence, a grizzly bear's normal heart rate when not hibernating is 50 beats per minute.

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Based on the question given, the volume of the gas tank is V = 15.19π ft³.

To find the volume of the gas tank, we can use the formula for the volume of a cylinder:

Volume = π x  r² x h

From the question, the dimensions are:

r = 1.5 ft ->  that is half the diameter of 3 ft.

h = 6.75 ft.

We have to substitute the radius (r)  and  height (h) into the formula and it will be:

Volume = π x 1.5²  x 6.75 ft

                   π x  15.1875 ft³

              = 15.19 π cubic feet

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Answer:

check the file above and got any confusion then comment it .

hope this helped you,