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Bond [772]
3 years ago
5

The least common denominator of the rational numbers x^2-y^2/(x^2-8x+15) and y^2/15(x^2-6x+9) is

Mathematics
1 answer:
Mashutka [201]3 years ago
7 0

Answer:

15(x - 5)(x - 3)²

Step-by-step explanation:

factor both denominators and see what you need to do to make them equal...

(x² - y²)/[(x - 5)(x - 3)]           y²/[15(x - 3)(x - 3)]

the first denominator has (x - 5)(x - 3)          

the second denominator has 15(x - 3)(x - 3),

the least common denominator between them would be

15(x - 5)(x -3)(x - 3)     or  15(x - 5)(x - 3)²

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What is the value of this expression?<br><br> ​ 1.5(−2.4+(−5.3))
Ahat [919]

Answer:

-11.55

Step-by-step explanation:

(to get the numbers out of the brackets you have to multiply all the numbers in the brackets to the number that is there, and in this case its 1.5)

1.5x(-2.4)= -3.6

1.5×(-5.3)= -7.95

after that, you add them (because there is a plus sign, not a minus, multiplication sign or a division sign.)

-7.95+ -3.6= -11.55

answer= -11.55

7 0
3 years ago
Two friends, Neil and Charlie, are going to depart from their houses and ride their bikes towards each other until they meet, an
n200080 [17]

Answer:

0.3 hour or 18 minutes

Step-by-step explanation:

How long means, we are to calculate the time(t)

Hence,

Speed × time = Distance

For Neil , 11 × t

For Charlie = 9 × t

11t + 9t = 6

20t = 6

t = 6/20

t = 0.3 hour

Converting to minutes

1 hour = 60 minutes

0.3 hour = x

x = 0.3 × 60 minutes

x = 18 minutes

Therefore, it will take 0.3 hour or 18 minutes for these two to meet.

6 0
3 years ago
Please I need help asap!!
Solnce55 [7]

Answer:

B

Step-by-step explanation:

Hi there!

We're given the measure of <AOC (the big angle) as 90°

and the measure of <BOC as 14° and the measure of <AOB as (3x+46)°

we want to find the value of what x is

because of angle addition postulate, m<AOC=m<BOC+m<AOB

so we can substitute our known values into that equation

90°=14°+3x°+46°

our goal is to isolate the variable of x onto one side

add 14 and 46 together

90°=3x°+60°

subtract 60° from both sides

30°=3x°

divide both sides by 3

10°=x

therefore B is your answer

Hope this helps!

7 0
3 years ago
Simplify the expressions and evaluate for (i) y = -2, (ii) y = 3.<br> 3y (2y-7) - 3 (y - 4) - 63
Diano4ka-milaya [45]

Simplified expression is 6y² - 24y - 51. Value for y=-2 is 21 and value for y=3 is  -69.

Step-by-step explanation:

  • Step 1: Given expression is 3y(2y-7) - 3(y - 4) - 63. Simplify it.

⇒ 6y² - 21y - 3y + 12 - 63

⇒ 6y² - 24y - 51

  • Step 2: Find value of the expression for y = -2

⇒ 6y² - 24y - 51 = 6(-2)² - 24(-2) - 51 = 24 + 48 - 51 = 21

  • Step 3: Find value of the expression for y = 3

⇒ ⇒ 6y² - 24y - 51 = 6(3)² - 24(3) - 51 = 54 - 72 - 51 = -69

8 0
3 years ago
What point is 2/3 of the distance from point A(3, 1) to point B(3, 19)?
8_murik_8 [283]

Answer: (3, 13)

Step-by-step explanation:

If we let the point be P, then AP:BP=2:1.

P=\left(\frac{(2)(3)+(1)(3)}{2+1}, \frac{(2)(19)+(1)(1)}{2+1} \right)=(3, 13)

5 0
2 years ago
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