a person travels 8 miles due north, 3 miles due west, 7 miles due north and 11 miles due east. how far so the person from the starting point?

First, find the slope of the line that goes through the 2 given points, which you should know how to do.  Call it m.  Then a perpendicular line must have a slope of -1/m.  The slope-intercept form of the equation you seek is

y = (-1/m)x + b,

where b is any real number.  Examine the list of choices, and pick any that have a slope of -1/m.

The equation that represents the line that passes through the points (2, -6) and (-4,3) is 2y + 3x = -6.

The equation of the line that passes through the points (x1,y1) and (x2,y2) can be obtained with the formula:

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

The slope of the points are

[tex]m=\dfrac{y_1-y_2}{x_1-x_2}[/tex]

We need to find the equation that represents the line that passes through the points (2, -6) and (-4,3)

[tex]m=\dfrac{y_1-y_2}{x_1-x_2}[/tex]

[tex]m=\dfrac{3+6}{-4-2}\\\\\\ m = 9/-6 = -3/2\\[/tex]

So, the equation is:

[tex]y-y_1 = m (x-x_1)\\\\y +6 = -3/2(x -2)\\\\2y +12 = -3x +6\\\\2y + 3x = -6[/tex]

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ2

x+15.09= -2.57

x= -17.66

If you want the value of x: you would have to subtract -15.09 on both sides.

x+15.09-15.09=-2.57-15.09

x=-17.66

24:4 in lowest terms would be 6:1

Answer,

6:1

Hope this helps :-)

Question 9:

[tex]\frac{20*(5)}{50}[/tex]                    Simplify what is in the parenthesis

[tex]\frac{100}{50}[/tex]                        Multiply 20 to 5

[tex]2[/tex]                                            Divide 50 to 100

*(Answer)*= [tex]2[/tex]  

Question 10:

[tex]5+(18)[/tex] ÷ [tex]6[/tex]                Simplify what is in the parenthesis      

[tex]5+3[/tex]                                         Divide 6 to 18

[tex]8[/tex]                                              Add 5 to 3

*(Answer)*= 8

Hope this helps

User who answered: BangtanBoyScouts

He saves $96, The Equation I did for this is 196 Divided by 2

Answer:

They made 890,000 tees.

Step-by-step explanation:

You have the following information given in the problem above:

-  In 2010 they made 380,285 tees.

-  In 2011 they made 513,525 tees.

2. Therefore, to calculate the amount of tees made by them in the two years, you only need to add the amount of tees they made in 2010 and 2011, as following:

[tex]380,285+513,525=893,810[/tex] tees

3. To the nearest ten thousand: 890,000 tees.

Answer:

10,12,14

Step-by-step explanation:

Two consecutive integers will have difference of 2.

Let 3 consecutive even integers be a-2, a, a+2

Smallest number = a-2 and middle number = a

Sum of the smallest number and twice the middle number

= a-2+2a =3a-2

20 more than the largest number = 20+a+2 =a+22

i.e. 3a-2 = a+22

2a = 24

Or a =12

Hence three integers even consecutive are 12-2, 12, 12+2

=10,12,14

12.36% I think sorry if its wrong ;-;

5/9, when square rooting fractions like these, you square root them seperatly. Square root of 25 is 5 and square root of 81 is 9.

Answer:

- 29

Step-by-step explanation:

Multiply numerator and denominator by 100. It isn't necessary, but it makes the problem easier to see.

174 / (-6)

Put into your calculator like  this

174

÷

(-)

6

=

And the answer comes out as - 29

So,

-2m+5=-2m-5

-2m + 2m = -5 - 5

0 = -10

which is no solution.

Therefore, the required equation is -2m + 5 = -2m - 5.

Two different facts using the original fact of 147 multiplied by 16 to reach the product of 2352 are 73.5 multiplied by 32 and 147 multiplied by 16.

To find two different multiplication facts that have a product of 2352, using the fact that 147 multiplied by 16 equals 2352, we can manipulate the factors in various ways. One way is to halve one of the factors and double the other. If we take half of 147, we get 73.5, and doubling 16 gives us 32. Therefore, 73.5 multiplied by 32 is one multiplication fact that equals 2352. Another way is to multiply both factors by the same number. If we multiply both 147 and 16 by 1, technically we get a different multiplication expression with the same product. This means 147 multiplied by 16 is still valid since we have applied the identity operation (multiplying by 1).

In summary, two different facts using the original fact of 147 multiplied by 16 to reach the product of 2352 are 73.5 multiplied by 32 and 147 multiplied by 16.

Solution

The given number is 32, 897

Here we need to round the thousand place.

Find the number in the thousands place.

We have 2 in the thousands place.

Look for digit which is right to 2.

We have 8, which is greater than 5, if we have the number greater than 5 we have to add 1 with thousands place and make the other numbers zeros.

Since we have 8 right to the number 2, so we add 1 with 2.

2 + 1 = 3

Now thousands place became 3 and make other digits zero.

32, 879 = 33, 000

The answer is 33,000

Note: Here I have attached the place value chart.

Answer: moving expenses apx xx

Step-by-step explanation: apix approveddfmdo

The correct answer is moving expenses which are allowed by the IRS option (D) is correct.

The reasonable costs of moving home goods and personal possessions to a new residence are characterized as moving expenses. These expenditures also include the employee's and his or her immediate family's journey to the new location.

You can deduct charges for transporting a trailer, packing, crating, in-transit storage, and insurance when relocating your household items and personal effects.

The moving expenses adjustment is allowed by IRS.

Thus, the correct answer is moving expenses which are allowed by the IRS option (D) is correct.

Learn more about the moving expenses here:

https://brainly.com/question/1384427

#SPJ2

Answer:

8

Step-by-step explanation:

work backward

24+11=35

35-3=32

32/4=8

It is 80,000 im not sure what you meant by "800,00"

[tex]QS=TV\\\\3v+2=7v-6\\\\4v=8\\\\v=2\\\\QS=TV=3\cdot2+2=8\\[/tex]

27:10

1/8 equals 9/5

3/2*9/5=27/10

To find the height of the American flag, convert the known length from yards to feet, use the given ratio to set up a proportion, solve it to find the height in feet, and then convert it back to yards, resulting in a height of 1.2 yards.

The ratio of the length to the height of the American flag is given as 3:2. Knowing that the length of the flag is 1.8 yards, we can set up a proportion to find the height. Since we know that 1 yard equals 3 feet, we first convert the length into feet. 1.8 yards is equivalent to [tex]1.8 imes 3 = 5.4 feet[/tex]. Using the ratio 3:2, we can write the proportion as 3/2 = 5.4/height in feet. To solve for the height, we cross-multiply and [tex]get 2 imes 5.4 = 3 imes height,[/tex] yielding 10.8 = 3  imes height. Dividing both sides by 3 gives us the height as 3.6 feet. To convert feet back to yards, we recall that 3 feet equal 1 yard, and hence, 3.6 feet is 1.2 yards. Therefore, the height of the American flag is 1.2 yards.

It is non-proportional. The graph is in a straight line but doesn't cross the origin!

Unproportional. For it to be proportional, the line should go through the origin (0,0).

b. is the answer if u need to know how just ask me

Here's another picture of the same thing. There is one in Saskatchewan (I live in Alberta, so that is my next door neighbor). I was wondering if this faced essentially east west.

If it did, then it likely had some sort of religious significance having to do with sun worship. Since the labeling is so carefully done, I think the bisector is probably pointing very near due east and is in the fall solstice. All of this could be coincidental or it could mean something more serious (like sun worship). Man is very ingenious where his religious expressions are concerned.

The value of g will be as g = 6f - h + k.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The given equation is

f=1/6(g+h-k)

WE have to solve the equation for g;

f = 1/6(g+h-k)

By cross multiplication;

6f = g + h - k

g = 6f - h + k

Thus, the value of g will be as g = 6f - h + k.

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ2

[tex]\dfrac{\partial }{\partial x}(y+4x^2)=0+8x=8x[/tex]

the value of n is 4 because you have to subtract 7n from both sides and then subtract 16 from both sides then the last step is to divide -4 from both sides and you get 4

Answer:

4

Step-by-step explanation:

3n + 16 = 7n is to be solved for n.  Subtract 3n from both sides, obtaining 16 = 4n.

Now divide both sides by 4, obtaining n = 4.

Answer:  f'(x) = 12x  + 48x³ - 48x⁵

Step-by-step explanation:

f(x) = (1 - 2x²)³

     = (1 - 2x²)(1 - 4x² + 4x⁴)

         1 - 4x² + 4x⁴

           -2x² + 8x⁴ - 8x⁶

     =  1 - 6x² + 12x⁴ - 8x⁶

f'(x) = 0 -2(6)x²⁻¹ + 4(12)x⁴⁻¹ - 6(8)x⁶⁻¹

      =     12x  + 48x³ - 48x⁵

22. 28 minus(eats) 6 is 22.