Any help on this anyone. ?

Find the distance of each trip:

68 km / 34 trips = 2 km per trip

Divide total distance by distance per trip:

348 km / 2 km per trip = 174 trips

Answer: 174 trips

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Explanation:

For now, we're only going to consider Newmarket and Markham, which are points N and M respectively.

Let's find the slope of line NM through use of the slope formula.

m = (y2-y1)/(x2-x1)

m = (3-8)/(7-2)

m = -5/5

m = -1

Line NM has a slope of -1. Its perpendicular slope is +1 or just 1.

Rule: If the slopes multiply to -1, then the lines are perpendicular.

Or you can apply the negative reciprocal rule to go from -1 to 1.

We'll keep this perpendicular slope in mind for later.

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Now let's find the midpoint of points N and M.

Add up the x coordinates and divide by 2: (x1+x2)/2 = (2+7)/2 = 4.5

Do the same for the y coordinates:  (y1+y2)/2 = (8+3)/2 = 5.5

The midpoint of N and M is at (4.5, 5.5)

The perpendicular line must go through these two points. I'm going to skip a few steps here, but basically we go from y = mx+b to y = x+1 after plugging in those x,y values and the perpendicular m we found earlier.

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In short, the perpendicular bisector for line segment NM is the equation y = x+1.

If you follow the same steps as the previous two sections, but you apply them for points M and V instead, then you should find that the perpendicular bisector is y = -3x+9. I'm skipping steps here as well.

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At this point, we have the system of equations

[tex]\begin{cases}y = x+1\\y = -3x+9\end{cases}[/tex]

Let's use substitution to solve for x and y

y = x+1

-3x+9 = x+1

-3x-x = 1-9

-4x = -8

x = -8/(-4)

x = 2

y = x+1

y = 2+1

y = 3

So together, x = 2 and y = 3 pair up to get the ordered pair solution (x,y) = (2,3)

This is the location where the theme park should be placed. Let's say that C = (2,3). I'm using C for center.

You can use the distance formula to confirm that segments CN, CM and CV are all the same length, which would verify that point C is equidistant from all the other points. Furthermore, it means that points N, M and V are all on the same circle centered at C.

I know it says not to use a graph, but it still helps to see what's going on. Also, it's a handy way to confirm the answer. I used GeoGebra to make the graph. See the diagram below.

Side note: you only need 2 perpendicular bisectors to find point C. You could use three, but that's overkill since they all intersect at the same location.

9514 1404 393

Answer:

  3

Step-by-step explanation:

For "a = b" it appears that the intention is b = f(a). It appears that f(a) is the number of letters in the spelling of 'a'.

  "One" has 3 letters

  "Two" has 3 letters

  "Three" has 5 letters

  "Four" has 4 letters

  "Five" has 4 letters

  "Six" has 3 letters

so, 6 = 3.

_____

Additional comment

This appears to be a non-standard use of the equal sign, in which it has no relation to the usual meaning of "equals." Using standard symbols with non-standard meanings should generally be avoided, unless the intended meaning is explained.

Answer:

x = 22.5

Step-by-step explanation:

∠2 and ∠7 are known as alternate exterior angles. This makes them equal to each other.

100 = 4x + 10

90 = 4x

22.5 = x

Answer:

Step-by-step explanation:

James is one meter and 63 centimeters OR what your teacher likely wants

James is one and sixty-three hundreths meters tall

Ani is wrong

4 and 8 hundreths means 4.08

4.8 would be 4 and 8 tenths

Step-by-step explanation:

21/1

When a denominator is equal to 1, the fraction might be simplified, using this formula:

a/1=a

21/1=21

3/12

Reduce fraction

3/12=3÷3/12÷3

=1/4 or 0.25

Divide by 100 to reduce it to 24/100

Now divide by 4 to get 6/25

The simplest form is 6/25

Answer:

Step-by-step explanation:

a=-2.9

b=-2 5/8=-21/8=-2.625

c=-7/3=-2.333333

Answer:

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Step-by-step explanation:

Answer:

−18+25+(−37)

[−18+25]+(−37)

Here we will 1

st

solve square bracket

∴[−18+25]+(−37)=7+(−37)

=7−37=−30

−30 is the sum of −18,+25 and −37

Answer:

slope = 4/3

Step-by-step explanation:

(-1 , 1) = (x1 , y1)

(2 , 5) = (x2 , y2)

slope (m) = y2 - y1/x2 - x1

=5 - 1/2 - (-1)

=4 /2+1

=4/3

Answer: x = 28

Step-by-step explanation:

3x+10+3x+2=180

6x+12=180

6x=168

x = 28

Answer:

x=28

Step-by-step explanation:

Since both lines going up are parallel, we can label the angle to the left of the angle with the measure of 3x+10 3x+2. These angles are supplementary as they are on different sides of the same line. This means that:

(3x+10)+(3x+2)=180

6x+12=180

6x=168

x=28

Answer:

$750

Step-by-step explanation:

Primero, Lucas gastaba $150 cada mes en gaseosas.

Al decidir cuidar su salud, deja de comprar gaseosas, entonces ya no gasta esos $150 al mes.

Es decir, a dejado de gastar $150 al mes.

Nosotros queremos saber:

¿cuánto dinero a dejado de gastar en cinco meses?

Bueno, si en un solo mes a dejado de gastar $150

En 5 meses a dejado de gastar 5 veces esa cantidad, que es:

5*$150 = $750

Answer:

4.50

Step-by-step explanation:

divide 10 by 4. this equals 2.5, add the 2 dollars for fries and your answer is 4.5 dollars

Answer:

A

Step-by-step explanation:

i don't know the real answer but i have learned it before so it's an educated guess

Answer:

Step-by-step explanation:

[tex]\frac{3*4}{2*4}=\frac{12}{8}\\\\\frac{5*4}{2*4}=\frac{20}{8}[/tex]

Three rational numbers:

[tex]\frac{13}{8};\frac{14}{8};\frac{15}{8}[/tex]

Answer:

3 1/25

Step-by-step explanation:

3.04

Do the decimal part first

.04 = 4/100

Reduce - cancel out 4

1/25

Put back the whole number

3 1/25

Answer:

3 [tex]\frac{1}{25}[/tex]

Step-by-step explanation:

I agree with the previous answer :

You need to do it part by part.

0.04 is equal to [tex]\frac{4}{100}[/tex]

[tex]\frac{4}{100}[/tex] simplified (we divide by 4 with both the denomantor and the numerator.) =

[tex]\frac{1}{25}[/tex]

And we still have those 3 wholes that we had in the beginning.

Now we add.

3 + [tex]\frac{1}{25}[/tex] = 3 [tex]\frac{1}{25}[/tex]

Answer:

r =v2 /a

Step-by-step explanation:

a=v2/r

ra=v2

r =v2 /a

Answer:

r = [tex]\frac{v^2}{a}[/tex]

Step-by-step explanation:

Given

a = [tex]\frac{v^2}{r}[/tex] ( multiply both sides by r to clear the fraction )

ar = v² ( divide both sides by a )

r = [tex]\frac{v^2}{a}[/tex]

Answer:

one solution (2.333, 9.6666)

Step-by-step explanation:

The ys have to be equal for there to be 1 solution. Let's see if they are. Equate the ys. - -2x becomes 2x

5x +-2 = 2x + 5                   Write the left with 1 sign

5x - 2 = 2x + 5                    Subtract 2x from both sides

2x          2x

3x - 2 = 5                            Add 2 to both sides

     2     2

3x = 7                                  Divide by 3

x = 7/3

x = 2 1/3

y = 5x - 2

y = 5(2 1/3) - 2

y = 11 2/3 - 2

y = 9 2/3

Answer:

"D" (2,4), (-2,-4)

Step-by-step explanation:

Step-by-step explanation:

press the picture to see the answer I swear it has a solution too

Step-by-step explanation:

(5^-4/4^-6) multiplied by 5^3

4⁶×5³/5⁴

4⁶/5

819.2

Answer:

[tex]{ \tt{ (\frac{ {5}^{ - 4} }{ {4}^{ - 6} } ) \times {5}^{3} }} \\ \\ = { \tt{ \frac{ {5}^{ - 4} . {5}^{3} }{ {4}^{ - 6} } }} \\ \\ { \tt{ = \frac{ {5}^{ - 1} }{ {4}^{ - 6} } }} \\ { \tt{ = \frac{ {4}^{6} }{ {5}^{1} } }} \\ = { \tt{ \frac{4096}{5} }} \\ \\ = 819.2[/tex]

Answer:

-(a)^2 + a - 11

Step-by-step explanation:

N - T = -3(a)^2 + 2a - 5 - (-2(a)^2 + a + 6)

        = -3(a)^2 + 2a - 5 +2(a)^2 - a - 6

        = -3(a)^2 + 2(a)^2 + 2a - a - 6 -5

        = -(a)^2 + a - 11

Answer:

5.4 units

Step-by-step explanation:

Hi there!

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] where two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (1,5) and (3,0)

[tex]d=\sqrt{(3-1)^2+(0-5)^2}\\d=\sqrt{(2)^2+(-5)^2}\\d=\sqrt{4+25}\\d=\sqrt{29}\\d=5.4[/tex]

Therefore, the distance between the two points when rounded to the nearest tenth is 5.4 units.

I hope this helps!

Answer:

a) 20 km away fro the starting point.

b) The bearing from P to R is 80°.

c) Q is 60 km North P.

d) Q is - 60 km west of P

Step-by-step explanation:

Stating Facts in the Question:

P to Q is 80 km and bearing 330°

It turned around, Q to R is 60 km and bearing 250°.

a) Picture a number line (Look at the first image)

You go 80 to the right. You turn around and go 60 to the left.

80 - 60 = 20

20 km away fro the starting point

b) Picture a number line (Look at the second image)

P to Q is bearing 330°

Q to R is 60 km is bearing 250°

P to Q is red

Q to R is blue

330° - 250° = 80°

The bearing from P to R is 80°

c) P to Q is 60 km

The plane went forward or North so the answer is 60 km.

Q is 60 km North P.

d) Q to P is 60 km

Q is not to the west of P

Q is - 60 km west of P

Answer:

(x + 4)(x + 3)

Step-by-step explanation:

x^2 + 7x + 12

In Quadratic Factorization using Splitting of Middle Term which is x term is the sum of two factors and product equal to last term. Factor each pair by finding common factors.

so we need two number that gives 12 when multiplied and 7 when added

4 and 3 are the numbers because 4*3 = 12 and 4+3 = 12

=x^2 + (4 + 3)x + 12

=x^2 + 4x + 3x + 12

=x(x + 4) + 3(x + 4)

take (x + 4) as common

=(x + 4) (x*1 + 3*1)

=(x + 4)(x + 3)

Answer:

Rs 8160

Step-by-step explanation:

Principal = Rs 6000

Time = 3 years

Rate = 12%

Simple Interest = ?

Amount = ?

Simple Interest = PTR/100

=6000*3*12/100

=216000/100

=2160

Amount = principal + Interest

=Rs 6000 + Rs 2160

=Rs 8160

Step-by-step explanation:

Principal = Rs. 6000

Time = 3yrs 8months = 3⅔ yrs.

Rate = 12% pa.

SI = ?

Amount = ?

SI = PRT/100 = (6000×12×11)/(100×3) = 2640

Amount = SI+P = 2640+6000 = Rs. 8640

hope this helps you.

please type it correctly and i can help Step-by-step explanation: