Can somebody please help me?

Answer:

Step-by-step explanation:

Because your angle is in radians, I'm assuming we can use the pre-calculus version of the arc length formula which is

s = rt where s is the arc length, r is radians, and t is the angle in radian measure. Filling in accordingly:

[tex]s=5(\frac{\pi}{3})[/tex] so

[tex]s=\frac{5\pi}{3}[/tex] inches

Answer:

The answer is below

Step-by-step explanation:

a) The equation of a line passing through the point (0,0) and ​(16​,4​) is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-0=\frac{4-0}{16-4}(x-0)\\\\y=\frac{1}{4}x[/tex]

We have to find the equation of the line perpendicular to y = (1/4)x and passing through the point (4,6).

The line perpendicular to y = (1/4)x has a slope of -4 (product of their slope = -1).

Hence:

[tex]y- y_1=m(x-x_1)\\\\y-6=-4(x-4)\\\\y-6=-4x+16\\\\y=-4x+22[/tex]

The slope of a line passing through the point (16,4) and ​(4​,6​) is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{6-4}{4-16}=-\frac{1}{6}[/tex]

We have to find the equation of the line perpendicular to  the line with slope of -1/6 and passing through the point (0,0).

The line perpendicular to a line with slope -1/6 has a slope of 6

Hence:

[tex]y- y_1=m(x-x_1)\\\\y-0=6(x-0)\\\\y=6x[/tex]

Solving y = 6x and y  = -4x + 22, gives:

x = 2.2, y = 13.2

Hence the orthocenter is at (2.2, 13.2)

b)

The slope of a line passing through the point (3,4) and ​(11​,12​) is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{12-4}{11-3}=1[/tex]

We have to find the equation of the line perpendicular to  the line with slope of 1 and passing through the point (8,15).

The line perpendicular to a line with slope 1 has a slope of -1

Hence:

[tex]y- y_1=m(x-x_1)\\\\y-15=-1(x-8)\\\\y=-x+8+15\\\\y=-x+23[/tex]

The slope of a line passing through the point (11,12) and ​(8​,15​) is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{15-12}{8-11}=-1[/tex]

We have to find the equation of the line perpendicular to  the line with slope of -1 and passing through the point (3,4).

The line perpendicular to a line with slope -1 has a slope of 1

Hence:

[tex]y- y_1=m(x-x_1)\\\\y-4=1(x-3)\\\\y=x-3+4\\\\y=x+1[/tex]

Solving y = -x + 23 and y  = x + 1, gives:

x = 11, y = 12

Hence the orthocenter is at (11, 12)

Answer:

x = 7 (i think..)

Step-by-step explanation:

-3 (4 - 3x) = 5x + 16

* multiple -3 to each number in the parenthesis

-12 + 9x = 5x + 16

* add 12 to both sides to cancel it and combine like terms on the other side

9x = 5x + 28

* subtract 5x from both sides to cancel it out and combine like terms

4x = 28

* divide 4 from both sides to get x alone

x = 7

Answer:

y = -2/3x + 8

Step-by-step explanation:

Answer:

225° = 5π/4 radians.

Step-by-step explanation:

hope this helps :D

The radian measure of an angle of 225 degrees is 1.25π radian or 3.925 radians.

Given,

225 degrees.

We need to find the radian measure of 225 degrees.

We have,

π radian = 180 degree

So,

2π = 360 degrees.

This is the formula for the radian of an angle.

Find the radian measure for 225 degrees.

We have,

π radian = 180 degrees

Multiply 225/180 on both sides by 180.

225/180 x π radian = 225/180 x 180 degrees

1.25 π radian = 225 degrees

or

We can take π = 22/7 = 3.14

225/180 x 3.14 radian = 225 degrees.

3.925 radian = 225 degrees

Thus the radian measure of an angle of 225 degrees is 1.25π radian or 3.925 radians.

Learn more about the measure of an angle from a radian here:

https://brainly.com/question/8916147

#SPJ2

Answer: (2,2)

Step-by-step explanation:

I'm going to use substitution to solve this:

First, I use the second equation to solve for y in terms of x.

2x - y = 2

-y = 2 - 2x

y = 2x - 2

Then, I plug the value for y into the first equation:

2x + 4y = 12

2x + 4(2x - 2) = 12

2x + 8x - 8 = 12

10x - 8 = 12

10x = 20

x = 2

Now that we have x, we can plug it into either equation (I used the first) to get the value for y:

2x + 4y = 12

2(2) + 4y = 12

4 + 4y = 12

4y = 8

y = 2

We get the point (2,2) as a solution.

Note: This is the point where both lines intersect.

After solving the equation, the value of for the points x and y are (2, 2).

Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

As per the given equation in the question,

2x + 4y = 12   (i) and

2x - y = 2  (ii)

Solve the value for y,

5y = 10

y = 10/5

y = 2

Substitute y=2 in equation (i)

2x + 4(2) = 12

2x = 12 - 8

x = 4/2

x = 2

Therefore, the point is (2, 2).

To know more about Equation:

https://brainly.com/question/14686792

#SPJ5

Answer:

7

Step-by-step explanation:

5x4=20

20/2=10

17-10=7

Answer:

your answer is 7

Step-by-step explanation:

17-5×4÷2

P- parenthesis

E- Exponents

M- Multiplication

D- Divide

A- Add

S- Subtract

Answer:

x = 6

∠2 = 75

Step-by-step explanation:

In the given triangle two sides are equal and so it is an isosceles triangle. So, the angles opposite to equal sides are equal

11x + 9 + 11x + 9 + 30 = 180   {Angle sum property of triangle}

      11x + 11x + 9 +9 +30 = 180

                     22x + 48   = 180

                            22x    = 180 - 48

                               22x = 132

                                   x = 132/22

                                  x = 6

∠2 = 11*6 + 9 = 66 +9 = 75

Answer: m=6.2t, 148.8 miles

Step-by-step explanation:

to figure out the equation we do 93/15=6.2 and we make it into a equation which is m=6.2t. since we know the butterfly travels 6.2 per hour we do 6.2 x 24 = 148.8

sorry if it's wrong

Answer:

The y-intercept is -2.

Step-by-step explanation:

Look at the graph and see where the line crosses the y-axis.

Answer:

-2

Step-by-step explanation:

The y-intercept is defined as the point where the line crosses the y-axis. It can be negative or positive. In this picture, the line crosses the y-axis at the point -2.

~theLocoCoco

Answer:

the square of -5 is 25 not -25

, -4(1)(-3) is 12 not -12 because when we multiply 2 negative numbers their result is positive

+5 should be written instead of -5

Step-by-step explanation:

+5 should be written instead of -5 as the formula is (-b+-(b²-4ac)½)/2a . since b=-5 ;-b=+5

Answer:

You have to multiply be A before each other

Step-by-step explanation:

Answer:

1

intercepts on the y line

Answer:

He would have to make 12 sales a week in order to make $240

Step-by-step explanation:

So every week the job pays him $60

And $15 more every sell he makes So 15x12=180

So if he  makes 12 sells in a week he will make $180 dollars.

Plus the 60 the job pays him every week

So 180+60=$240

Answer:

3 1/2 puzzles

Step-by-step explanation:

Answer:

1) $500

Step-by-step explanation:

It literally says $500 on the table hope this helps :D

For #2, i cant see the full question.

Hope this helps :D Please hit the crown if you want me to help you on the last one then tell me and make a new question !!!!!!!!!!!!

Answer:

500, x times 500 = y

Step-by-step explanation:

Question 1: $500, if you look at the table underneath the section for "one" compute it says 500 in the cost section.

Question 2: X times 500 = Y (since for every "x" (computer) there is $500 "y" (cost))

Answer:

Average rate of temperature increase is 2 degrees per hour

Step-by-step explanation:

Here, we want to calculate the average rate of increase in temperature

From what we have above, we can calculate this by dividing the total temperature rise by the number of hours

The total temperature rise is 6 + 4 = 10 degrees

This means that the temperature rose by 10 degrees between 10 am and 3 pm

The number of hours between 10 am and 3 pm is 5 hours

So the average rate of temperature increase is 10 degrees/ 5 hours = 2 degree per hour

Answer:

Step-by-step explanation:

2. 3x-1/3 = 5

+1/3    +1/3

___________-

3x= 5   1/3

÷3     ÷3

__________________

x=1.77777777778

5.  3x-9=5x-3

+3     +3

_____________-

3x-6=5x

-3x    -3x

_______________-

-6=2x

÷2    ÷2

______________-

-3=x

8.   3x-2x=8  ( I crossed multiplied btw)

x=8

Hope this helps ∞<3

Answer:

wait what was the question i might be able to help if i know what it is

Answer: 7

Step-by-step explanation:

3+6^(2) / 9

3 + 36 / 9

3   +   4

    7

Answer:

29

Step-by-step explanation:

29-17= 12

12x-5=-60

Answer:

x

=

1

and

y

=

−

2

Explanation:

Here ,

3

x

−

2

y

=

7

...

.

→

(

1

)

5

x

+

y

=

3

...

...

→

(

2

)

Multiplying eqn.

(

2

)

by

2

and adding:

i

.

e

.

(

1

)

+

2

×

(

2

)

we get

3

x

−

2

y

=

7

10

x

+

2

y

=

6

−−−−−−−−−−−−−

13

x

+

0

=

13

∴

x

=

1

Subst.

x

=

1

into

e

q

n

.

(

2

)

we get

5

(

1

)

+

y

=

3

∴

5

+

y

=

3

∴

y

=

3

−

5

∴

y

=

−

2

Hence,

x

=

1

and

y

=

−

2

Answer:

[tex]y=\frac{3}{2}x+\frac{-7}{2}[/tex]

Or, for a more simplified version:

[tex]y=\frac{3x}{2}-\frac{7}{2}[/tex]

Or, for an EVEN MORE simplified version:

[tex]y=\frac{3x-7}{2}[/tex]

Step-by-step explanation:

There are three different forms of answers that I put for you, but they are all still equivalent answers, it’s just that one is more simplified than the other. If I were you, I would pick the most simplified version.

Also, the image below shows step-by-step on how to solve it.

Hope this helps! :)

Answer:

0, -4

2,0

-4,0

-2,-8

Step-by-step explanation:

I chose the points that were most visable

Answer:

C. Both functions are nonlinear but only function p is exponential.

Answer:

Slope: 1.75

Step-by-step explanation:

Slope = (3-10) / (0-4)

         = -7 / -4

         = 1.75

Answer:

16+3=y

y=19

Step-by-step explanation:

Answer:

The 1st one

Step-by-step explanation:

Because it is a right triangle you can see that by the 90* box next to the height and if you turn it over a little you can tell that it is the 1st one.

____________________________________________________________-HOPE THIS HELPS!!!!!!!!!!!!!!!!!!!!!!!!!