What would be the slope of a line perpendicular to y=2x + 1 be?

1 answer:

3 0

The slope of the given line is 2.

The slope of the line perpendicular to the given line is the negative reciprocal of 2 or -1/2.

Answer: -1/2

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How do you do prime factorisation for 48/72?

Mrac [35]

48:
48/2 = 24 24/2 = 12 12/2 = 6 6/2 = 3
We can not divide by 2, but we can divide by 3: 3/3 = 1
That's as far as we go. So I divided by 2 four times and once by 3: Therefore: 48 = 2 * 2 * 2 * 2 * 3
Now we take 72
72 / 2 = 36 36 / 2 = 18 18 / 2 = 9 Nine is not divisible by 2, but it is by 3, so: 9 / 3 = 3 3 / 3 = 1
That's as far as we can go. I divided by 2 three times and by 3 two times. Therefore 72 = 2 * 2 * 2 * 3 * 3 So, taking the bigger picture:
4872=2∗2∗2∗2∗32∗2∗2∗3∗3 Now three two's cancel out and one three cancels out and we get 2\3
answer=2\3

5 0

3 years ago

Read 2 more answers

In January, Bangkok is hotter than Cape Town while Cape Town is hotter than Moscow. Which inequality correctly compares the temp

igor_vitrenko [27]

Answer: The correct option is D.

Explanation:

It is given that in January, Bangkok is hotter than Cape Town it means the temperature of Bangkok is greater than the temperature of Cape Town. It can be written in the inequality form as shown below,

Bangkok's temperature > Cape Town's temperature

It is the conclusion (1).

It is also given that the Cape Town is hotter than Moscow it means the temperature of Cape Town is greater than Moscow. It can be written in the inequality form as shown below,

Cape Town's temperature > Moscow's temperature

It is the conclusion (2).

When we combine conclusion (1) and (2). We get

Bangkok's temperature > Cape Town's temperature > Moscow's temperature

This statement is shown in option D, therefore the correct option is D.

5 0

3 years ago

-3x(7x-4)+6x-(13-24x²)

Margarita [4]

Answer:

$3x^2+18x-13.$

Step-by-step explanation:

Step 1:

Equation should be:

$((0-(3x*(7x-4)))+6)-(13-(2^3*3x^2))$

Step 2:

Equation should be:

$((0-3x*(7x-4))+6x)-(13-24x^2)$

Step 3:

Factoring $3x^2+18x-13$
The first term is $3x^2$ . It's coefficient is 3.
The middle term is +18x, it's coefficient is 18.
The last term, "the constant", is -13.

Step 1:

Multiply the coefficient of the first term by the constant 3 * -13 = -39

Step 2:

Find two factors of -39 whose sum equals the coefficient of the middle term, which is 18 .
-39 + 1 = -38
-13 + 3 = -10
-3 + 13 = 10
-1 + 39 = 38
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored

Solution: