Maria walked 3 km west and 4 km south . calculate how far she is from her starting point.

Answers

Answer 1

Answer: if you draw her track and connect her starting and ending points, you have a right triangle, with 3 and 4 being the legs. According to the pythagorean theorem. 3^2+4^2=x^2 when x is her distance from starting point. so x^2=25 and x=5. Her distance is 5

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Can someone help me find the constant? L varies directly as h; when l=112, h=-16

Answers

it varies directly
that means that when when L goes up, h also increases, when L decreases, h also decreases
so the constant is k where k=y/x
in this case it is k=L/h so subsitute
L=112
h=-16
k=L/h
k=112/-16
k=-7
the constant is -7

The statement is expressed as
L = kh
where k is constant
In terms of k,
k = L/h
Given L = 112 and h = 16
k = 112/-16 = -7

Please work out 6-3x-2--10

Answers

SO
   6-3X-2 -(- 10 ) WE HAVE TO COMBINE LIKE TERMS
   6-3X-2 +10
   6-3X +8
   6+8-3X
   14+(-3X )
   14-3X

- ( - 10 ) = + 10 ;
- 2 + 10 = + 8 ;
6 + 8 = 14 ;
Finally, 14 - 3X ;

WILL MARK BRANLIEST!! HELP ASAP+ 30 POINTS!!!!!!!!!!!!What is the LCD of 5/6 and 2/5?

6
9
15
30

Answers

Answer:

The answer is (d) 30

Step-by-step explanation:

The LCD (lowest common denominator) of 5/6 is 5 * 6 = 30.

And 2/5 s 2 * 5 = 10

10 = 2×5

15 = 3×5

LCM = 2×3×5 = 30

I hope this helps! Please mark me as brainliest and have a nice day!!

~abelxoconda

Answer:

30.

Step-by-step explanation:

The LCD of 5 and 6 is 5 * 6 = 30.

Its not 15 because 6 will not divide into 15,

1. Tom and his best friend Edward are seeking to join a gym. Tom saw on television that Platinum Gym was having a grand opening in a few months. Tom is considering a membership at Platinum Gym. Platinum Gym charges a one-time registration fee of $60, and membership is $20 a month. Tom’s best friend Edward says he plans to join Super Fit because Super Fit only charges $10 a month but has a one-time registration fee of $150.(a) Write an expression to represent the membership cost of Platinum Gym for x months.(b) Write an expression to represent the membership cost of Super Fit for x months.
(c) If Tom decides to join Platinum Gym and Edward joins Super Fit, who would pay less during the first month of membership? Who would pay less after a year of membership? Show your work.
(d) Is there a membership period for which Tom and Edward would pay the same amount? If so, how long would this membership be and how much would it cost? Show your work.
(e) Which gym membership is a better deal? Explain why.

Answer:

Answers

A) let x=months let y=costy=mx+by= 20x+ 60Remember 20 is the variable which means in this case every month it cost 20$ and 60 is the constant which means you only pay it onceB) let x= Months let y= costy=10x + 150C) platinum gymy= 20x+60y=20(1)+60y=20+60y=80Superfity=10x+150y=10(1)+150y=10+150y=160Therefore Tom will pay less after the first monthD) y=y solve for xy=20x+60y=10x+15020x+60=10x+150-10x. -10x10x+ 60=150-60. -6010x=9010x/10=90/10X=99 monthsPick any equation and sub in xY=10x+150Y=10(9)+150Y=90+150Y=240240$Know that you only have to do one equation to find y but if you want to show both you canTherefore there is a period where Tom and Edward paid the same amount, after nine months they would both pay $240E) if they plan on going to the gym 9 months and less the best deal gym is platinum gym but if they want to go for more then 9 months then the best deal gym is super fit

(15x2 – 24x + 9) ÷ (3x – 3)

Answers

$\bf 15x^2-24x+9/ 3x-3\implies \cfrac{15x^2-24x+9}{3x-3}\implies \cfrac{\underline{3}(5x^2-8x+3)}{\underline{3}(x-1)}\n\n\n\cfrac{5x^2-8x+3}{x-1}\implies \cfrac{(5x-3)\underline{(x-1)}}{\underline{(x-1)}}\implies 5x-3$

4x-2=90 wha is the answer to this problem?

Answers

Firstly, you want to get 4x alone, so to do this, you add 2 to both sides, as you always do the opposite operation.
This then becomes
4x=92
To get x alone, you then divide both sides by 4.
92/4=23
Therefore, x= 23
Hope this helps :)

Your goal is to get "x" by itself on one side

$4x-2=90$

Add +2 to each side

$4x-2+2=90+2$

$4x=92$

Divide 92 by 4

92÷4=23

$x=23$

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