When you use the distance formula, does the order in which you subtract the x- and y- coordinates matter? Explain please

Answers

Answer 1

Answer: lets say ur points are (1,2)(3,4)

d = sqrt (x2 - x1)^2 + (y2 - y1)^2

u would label ur points
set 1 (1,2)...x1 = 1 and y1 = 2
set 2 (3,4)...x2 = 3 and y2 = 4

or u could label them this way..
set 1 (3,4)...x1 = 3 and y1 = 4
set 2 (1,2)...x2 = 1 and y2 = 2

u have to do (x2 - x1)^2 and (y2- y1)^2....but u can label ur sets of points different. Just make sure u keep ur sets together. Does that make sense ?

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Many bicycles have 26 inch diameter wheels. The low gear attached to your pedals has a radius of 2.2 inches. The low rear gear, driven by the chain attached to the front gear, has a diameter of 3 inches. How far does the bike travel in one rotation of the pedals, i.e. the front gear revolves once.

For the graph below, what should the domain be so that the function is at least 600? (1 point)graph of y equals minus 2 times the square of x plus 40 times x plus 600

0 ≤ x ≤ 20
−10 ≤ x ≤ 30
x ≥ 0
All real numbers

Answers

Answer: The first interval:0 ≤ x ≤ 20

Procedure

You have to solve this inequality

-2x^2 +40x +600 ≥ 600

-2x^2 +40x ≥ 0

-x^2+20x ≥ 0

x^2 - 20 x ≤ 0

x(x-20) ≤ 0

That is only possible if the two factors have different signs.

Let's examine the possibilities

x ≥ 0 and x -20 ≤ 0⇔x≤20, that is 0≤x≤20

The other possibility is

x ≤ 0 and x - 20 ≥ 0 ⇔x≥20. This conditions is not possible.

So the solution is 0≤x≤20

Henry rolls 2 number cubes numbered 1 through 6 while playing his favorite board game. He will get a second turn if he rolls a sum that is an even number less than 10. What are Henry's chances of getting a second turn when he rolls the number cubes? 7/18 11/18 5/36 17/36 I got 5/18. I added up the amount of different ways to get 2-8. I found 10. Either the test is wrong or I'm really bad at counting, and I'm not confident enough to count either of them out.

Answers

Answer: $(7)/(18)$

Step-by-step explanation:

The sample size n ( total pairs )= $6*6=$ 36

Pairs having the even sum less than 10 area

(1,3), (3,1), (1,5), (5,1),(3,5),(5,3),

(2,4), (4,2), (2,6),(6,2),

(1,1),(3,3),(2,2),(4,4)

The number of ways to get a sum that is an even number less than 10= 14

The chances of getting a second turn when he rolls the number cubes= $=\frac{\text{favourable outcomes}}{\text{Total outcomes}}(14)/(36)=(7)/(18)$

Hence, The chances of getting a second turn when he rolls the number cubes= $(7)/(18)$

First of all, we know that each cube can land in 6 different ways,
so two cubes can land in (6x 6) = 36 different ways.

Now let's check your count. How many ways can you roll a 2, 4, 6, or 8 ?

Cube-A Cube-B
1 1 2
1    3 4
3    1 4
2    2 4
1    5     6
      5    1 6
      2    4 6
      4    2 6
      3 3 6
      2    6 8
      6    2       8
3 5 8
    5 3 8
4    4    8

I get 14 ways.

So the probability of success is

   (number of successful ways) / (total possible ways) =

   (14) / (36) = 7/18 .

rohit marks his goods at 40% above the cost price but allows a discount of 5% on cash payment to his customers. What actual profit does he make if he recieves rs 1064 after allowing the discount?

Answers

Goods are marked 40% above cost price but 5% discount is given.
Therefore, total profit = (40 - 5)%
= 35%
Let the cost price be 'x.'
So, (35% of x) + x = 1064
( $(35)/(100)$ *x) + x = 1064
$(7x)/(20)$ + x = 1064
   $(7x)/(20) + (20x)/(20)$ = 1064
   $(27x)/(20)$ = 1064
Therefore:
27x = 1064*20
27x = 21,280
x = $(21280)/(27)$
x = Rupees 788.14
Cost price is Rs. 788.14
Profit = 35% of 788.14
   $(35)/(100)*788.14$
Total profit = Rupees 275.849

If f(x)=|3x-4|+2, find f (-10)

Answers

$f(x)=|3x-4|+2\n\n\nf(-10)=|3\cdot(-10)-4|+2=|-30-4|+2\n\n=|-34|+2=34+2=36$

$f(x)=|3x-4|+2\n \n f (-10)=|3\cdot(-10)-4|+2=|-30-4|+2=|-34|+2=36$

Shown are lines p , r , t , and w. Suppose angles 8 and 10 are congruent. Given this fact, which two line must be congruent? Show all work to receive credit.

Answers

Answer:

lines t and w must be parallel

Step-by-step explanation:

Angles 8 and 10 are alternate interior angles with respect to transversal r across lines t and w. If those angles are congruent, then lines t and w must be parallel.

The set of lessons in this geometry course is: finite infinite

Answers

the answer is infinite

the answer is infinite, hope it helps

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